diff --git a/.gitignore b/.gitignore index 53c0c4e..62caf12 100644 --- a/.gitignore +++ b/.gitignore @@ -501,8 +501,8 @@ TSWLatexianTemp* .cursor*/ # Benchmark results (autogenerated) -reproduce/benchmarks/results/autogenerated/ -reproduce/benchmarks/results/latest.json +README_IF_YOU_ARE_AN_AI/benchmarks/results/autogenerated/ +README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json REMARK # MyST PDF build artifacts (generated PNG files in tex export directories) diff --git a/BENCHMARKING-PLAN.md b/BENCHMARKING-PLAN.md deleted file mode 100644 index bfcb572..0000000 --- a/BENCHMARKING-PLAN.md +++ /dev/null @@ -1,48 +0,0 @@ -# Plan: Add Reproduction Time Tracking to Method of Moderation - -## Overview -Add benchmarking infrastructure following the HAFiscal-Latest pattern to track reproduction times across different hardware, operating systems, and configurations. - -## Current State - -### Method of Moderation -- Simple reproduce.sh script with 5 steps -- No timing or system information capture -- No benchmark tracking -- Simple reproduce_min.sh for quick validation - -### HAFiscal-Latest Pattern (Reference) -- reproduce/benchmarks/ directory with benchmark.sh, capture_system_info.py, schema.json -- Benchmark files stored with timestamps and metadata -- latest.json symlink to most recent benchmark - -## Implementation Plan - 7 Phases - -### Phase 1: Directory Structure -Create reproduce/benchmarks/ with subdirectories for results - -### Phase 2: System Info Capture Script -Create capture_system_info.py adapted for method-of-moderation packages (mystmd, etc.) - -### Phase 3: Benchmark Wrapper Script -Create benchmark.sh that wraps reproduce.sh/reproduce_min.sh - -### Phase 4: Enhance reproduce.sh -Add optional benchmark hooks (backward compatible) - -### Phase 5: JSON Schema -Create schema.json for benchmark format validation - -### Phase 6: Documentation -Create README.md and BENCHMARKING_GUIDE.md - -### Phase 7: Git Configuration -Update .gitignore for benchmark results - -## Key Adaptations from HAFiscal - -- Focus on MyST/mystmd packages (not LaTeX) -- Two reproduction modes: full (reproduce.sh) and min (reproduce_min.sh) -- Simpler structure (no complex multi-stage reproduction) - -See full plan details by examining HAFiscal-Latest/reproduce/benchmarks/ for reference. diff --git a/README_IF_YOU_ARE_AN_AI/CODE_MAP.md b/README_IF_YOU_ARE_AN_AI/CODE_MAP.md index 21c3d0b..5c73537 100644 --- a/README_IF_YOU_ARE_AN_AI/CODE_MAP.md +++ b/README_IF_YOU_ARE_AN_AI/CODE_MAP.md @@ -129,7 +129,7 @@ This document explains what each file in the repository does. 2. Run tests 3. Build HTML only -### `reproduce/benchmarks/` +### `README_IF_YOU_ARE_AN_AI/benchmarks/` **Purpose**: Benchmarking infrastructure **Files**: diff --git a/reproduce/benchmarks/BENCHMARKING_GUIDE.md b/README_IF_YOU_ARE_AN_AI/benchmarks/BENCHMARKING_GUIDE.md similarity index 78% rename from reproduce/benchmarks/BENCHMARKING_GUIDE.md rename to README_IF_YOU_ARE_AN_AI/benchmarks/BENCHMARKING_GUIDE.md index a0fb7d7..a44f88c 100644 --- a/reproduce/benchmarks/BENCHMARKING_GUIDE.md +++ b/README_IF_YOU_ARE_AN_AI/benchmarks/BENCHMARKING_GUIDE.md @@ -10,26 +10,26 @@ The Method of Moderation benchmarking system follows industry-standard practices ```bash # Benchmark minimal reproduction (~5 minutes) -./reproduce/benchmarks/benchmark.sh --min +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min # Benchmark full reproduction (all tests, paper, notebooks) -./reproduce/benchmarks/benchmark.sh +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh # With notes -./reproduce/benchmarks/benchmark.sh --min --notes "Testing M1 Max performance" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "Testing M1 Max performance" ``` ### Viewing Results ```bash # View latest benchmark -cat reproduce/benchmarks/results/latest.json | jq . +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq . # View system info from latest -cat reproduce/benchmarks/results/latest.json | jq '.system' +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq '.system' # Check duration -cat reproduce/benchmarks/results/latest.json | jq '.duration_seconds' +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq '.duration_seconds' ``` ## What Gets Captured @@ -96,7 +96,7 @@ Example structure: ## Storage Location ``` -reproduce/benchmarks/ +README_IF_YOU_ARE_AN_AI/benchmarks/ ├── README.md # Overview and documentation ├── BENCHMARKING_GUIDE.md # This file ├── schema.json # JSON schema for validation @@ -134,7 +134,7 @@ jq 'del(.system.hostname, .metadata.user, .environment.virtual_env)' \ results/benchmark.json > benchmark_anonymous.json # Commit reference benchmark -git add -f reproduce/benchmarks/results/saved/20250117_reference_m1max.json +git add -f README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/20250117_reference_m1max.json git commit -m "Add reference benchmark: M1 Max 2021" ``` @@ -145,10 +145,10 @@ Track reproduction time over different code versions: ```bash # Before optimization -./reproduce/benchmarks/benchmark.sh --min --notes "Before optimization" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "Before optimization" # After optimization -./reproduce/benchmarks/benchmark.sh --min --notes "After optimization" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "After optimization" # Compare jq '.duration_seconds' results/autogenerated/*.json @@ -159,10 +159,10 @@ Compare performance across different machines: ```bash # On laptop -./reproduce/benchmarks/benchmark.sh --min --notes "MacBook Pro M1 2021" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "MacBook Pro M1 2021" # On desktop -./reproduce/benchmarks/benchmark.sh --min --notes "AMD Ryzen 9 5900X" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "AMD Ryzen 9 5900X" ``` ### 3. Environment Comparison @@ -171,11 +171,11 @@ Compare UV vs Conda: ```bash # With UV source .venv-linux-aarch64/bin/activate -./reproduce/benchmarks/benchmark.sh --min --notes "UV environment" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "UV environment" # With Conda conda activate moderation -./reproduce/benchmarks/benchmark.sh --min --notes "Conda environment" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "Conda environment" ``` ### 4. CI/CD Integration @@ -183,11 +183,11 @@ Automated performance regression detection: ```yaml - name: Run Benchmark - run: ./reproduce/benchmarks/benchmark.sh --min - + run: ./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min + - name: Upload Results uses: actions/upload-artifact@v3 with: name: benchmark-results - path: reproduce/benchmarks/results/latest.json + path: README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json ``` diff --git a/reproduce/benchmarks/README.md b/README_IF_YOU_ARE_AN_AI/benchmarks/README.md similarity index 82% rename from reproduce/benchmarks/README.md rename to README_IF_YOU_ARE_AN_AI/benchmarks/README.md index b316493..bbdbcc7 100644 --- a/reproduce/benchmarks/README.md +++ b/README_IF_YOU_ARE_AN_AI/benchmarks/README.md @@ -17,26 +17,26 @@ Track and document the time required to reproduce Method of Moderation results a ```bash # Benchmark minimal reproduction (<5 minutes) -./reproduce/benchmarks/benchmark.sh --min +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min # Benchmark full reproduction (all tests, paper, notebooks) -./reproduce/benchmarks/benchmark.sh +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh # With notes -./reproduce/benchmarks/benchmark.sh --min --notes "Testing M1 Max performance" +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "Testing M1 Max performance" ``` ### Viewing Results ```bash # View latest benchmark -cat reproduce/benchmarks/results/latest.json | jq . +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq . # View system info from latest -cat reproduce/benchmarks/results/latest.json | jq '.system' +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq '.system' # Check duration -cat reproduce/benchmarks/results/latest.json | jq '.duration_seconds' +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq '.duration_seconds' ``` ## Benchmark Format @@ -54,7 +54,7 @@ Each benchmark includes: ## Directory Structure ``` -reproduce/benchmarks/ +README_IF_YOU_ARE_AN_AI/benchmarks/ ├── README.md # This file ├── BENCHMARKING_GUIDE.md # Detailed usage guide ├── schema.json # JSON schema for validation diff --git a/reproduce/benchmarks/benchmark.sh b/README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh similarity index 93% rename from reproduce/benchmarks/benchmark.sh rename to README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh index be72ecd..7e7250b 100755 --- a/reproduce/benchmarks/benchmark.sh +++ b/README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh @@ -6,9 +6,9 @@ # and system information for benchmarking purposes. # # Usage: -# ./reproduce/benchmarks/benchmark.sh # Benchmark full reproduction -# ./reproduce/benchmarks/benchmark.sh --min # Benchmark minimal reproduction -# ./reproduce/benchmarks/benchmark.sh --min --notes "Testing M1 Mac" +# ./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh # Benchmark full reproduction +# ./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min # Benchmark minimal reproduction +# ./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh --min --notes "Testing M1 Mac" set -euo pipefail @@ -38,7 +38,7 @@ while [[ $# -gt 0 ]]; do ;; *) echo "Unknown option: $1" - echo "Usage: $0 [--min] [--notes "note"]" + echo "Usage: $0 [--min] [--notes \"note\"]" exit 1 ;; esac diff --git a/reproduce/benchmarks/capture_system_info.py b/README_IF_YOU_ARE_AN_AI/benchmarks/capture_system_info.py similarity index 76% rename from reproduce/benchmarks/capture_system_info.py rename to README_IF_YOU_ARE_AN_AI/benchmarks/capture_system_info.py index 89e3125..b4e71d0 100755 --- a/reproduce/benchmarks/capture_system_info.py +++ b/README_IF_YOU_ARE_AN_AI/benchmarks/capture_system_info.py @@ -25,15 +25,15 @@ def run_command(cmd, fallback="unknown"): def get_cpu_info(): """Get CPU information cross-platform.""" system = platform.system() - + cpu_info = { "model": "unknown", "architecture": platform.machine(), "cores_physical": None, "cores_logical": os.cpu_count(), - "frequency_mhz": None + "frequency_mhz": None, } - + if system == "Darwin": # macOS cpu_info["model"] = run_command("sysctl -n machdep.cpu.brand_string") physical = run_command("sysctl -n hw.physicalcpu") @@ -41,32 +41,34 @@ def get_cpu_info(): freq = run_command("sysctl -n hw.cpufrequency_max") if freq.isdigit(): cpu_info["frequency_mhz"] = int(freq) / 1_000_000 - + elif system == "Linux": model = run_command("lscpu | grep 'Model name' | cut -d ':' -f 2") if model != "unknown": cpu_info["model"] = model.strip() else: - cpu_info["model"] = run_command("cat /proc/cpuinfo | grep 'model name' | head -1 | cut -d ':' -f 2").strip() - + cpu_info["model"] = run_command( + "cat /proc/cpuinfo | grep 'model name' | head -1 | cut -d ':' -f 2" + ).strip() + physical = run_command(r"lscpu | grep 'Core(s) per socket' | awk '{print $NF}'") sockets = run_command(r"lscpu | grep 'Socket(s)' | awk '{print $NF}'") if physical.isdigit() and sockets.isdigit(): cpu_info["cores_physical"] = int(physical) * int(sockets) - + freq = run_command(r"lscpu | grep 'CPU max MHz' | awk '{print $NF}'") - if freq.replace('.', '').isdigit(): + if freq.replace(".", "").isdigit(): cpu_info["frequency_mhz"] = float(freq) - + return cpu_info def get_memory_info(): """Get memory information in GB.""" system = platform.system() - + memory_info = {"total_gb": None, "available_gb": None} - + if system == "Darwin": total = run_command("sysctl -n hw.memsize") if total.isdigit(): @@ -78,7 +80,7 @@ def get_memory_info(): available = run_command(r"grep MemAvailable /proc/meminfo | awk '{print $2}'") if available.isdigit(): memory_info["available_gb"] = round(int(available) / (1024**2), 2) - + return memory_info @@ -88,14 +90,24 @@ def get_disk_info(path="/"): stat = os.statvfs(path) free_gb = round((stat.f_bavail * stat.f_frsize) / (1024**3), 2) disk_type = "unknown" - + if platform.system() == "Darwin": - disk_type_cmd = run_command(r"diskutil info / | grep 'Solid State' | awk '{print $3}'") + disk_type_cmd = run_command( + r"diskutil info / | grep 'Solid State' | awk '{print $3}'" + ) disk_type = "SSD" if disk_type_cmd == "Yes" else "HDD" elif platform.system() == "Linux": - rotational = run_command(r"cat /sys/block/$(df / | tail -1 | awk '{print $1}' | sed 's|/dev/||' | sed 's/[0-9]//g')/queue/rotational 2>/dev/null") - disk_type = "SSD" if rotational == "0" else "HDD" if rotational == "1" else "unknown" - + rotational = run_command( + r"cat /sys/block/$(df / | tail -1 | awk '{print $1}' | sed 's|/dev/||' | sed 's/[0-9]//g')/queue/rotational 2>/dev/null" + ) + disk_type = ( + "SSD" + if rotational == "0" + else "HDD" + if rotational == "1" + else "unknown" + ) + return {"type": disk_type, "free_gb": free_gb} except Exception: return {"type": "unknown", "free_gb": None} @@ -104,19 +116,31 @@ def get_disk_info(path="/"): def get_python_packages(): """Get versions of key Python packages.""" packages = {} - key_packages = ["econ-ark", "mystmd", "numpy", "scipy", "matplotlib", "numba", "jupyter", "ipywidgets", "pytest"] - + key_packages = [ + "econ-ark", + "mystmd", + "numpy", + "scipy", + "matplotlib", + "numba", + "jupyter", + "ipywidgets", + "pytest", + ] + for pkg in key_packages: try: from importlib.metadata import version + packages[pkg] = version(pkg) except Exception: try: import pkg_resources + packages[pkg] = pkg_resources.get_distribution(pkg).version except Exception: packages[pkg] = "not installed" - + return packages @@ -124,13 +148,15 @@ def get_git_info(repo_path=None): """Get git repository information.""" if repo_path is None: repo_path = Path(__file__).parent.parent.parent - + original_dir = os.getcwd() try: os.chdir(repo_path) commit = run_command("git rev-parse HEAD", "unknown") branch = run_command("git rev-parse --abbrev-ref HEAD", "unknown") - dirty = run_command("git diff --quiet && echo 'false' || echo 'true'", "unknown") + dirty = run_command( + "git diff --quiet && echo 'false' || echo 'true'", "unknown" + ) return {"commit": commit, "branch": branch, "dirty": dirty == "true"} finally: os.chdir(original_dir) @@ -142,10 +168,14 @@ def capture_system_info(): venv_path = os.environ.get("VIRTUAL_ENV", "") env_type = "unknown" if venv_path: - env_type = "uv" if ".venv" in venv_path or "UV_PROJECT_ENVIRONMENT" in os.environ else "venv" + env_type = ( + "uv" + if ".venv" in venv_path or "UV_PROJECT_ENVIRONMENT" in os.environ + else "venv" + ) elif os.environ.get("CONDA_DEFAULT_ENV"): env_type = "conda" - + return { "system": { "os": system, @@ -154,30 +184,35 @@ def capture_system_info(): "hostname": platform.node(), "cpu": get_cpu_info(), "memory": get_memory_info(), - "disk": get_disk_info() + "disk": get_disk_info(), }, "environment": { "python_version": platform.python_version(), "environment_type": env_type, "virtual_env": venv_path if venv_path else None, - "key_packages": get_python_packages() + "key_packages": get_python_packages(), }, - "git": get_git_info() + "git": get_git_info(), } def main(): import argparse - parser = argparse.ArgumentParser(description="Capture system information for benchmarking") - parser.add_argument("--output", "-o", help="Output file (default: stdout)", type=str) + + parser = argparse.ArgumentParser( + description="Capture system information for benchmarking" + ) + parser.add_argument( + "--output", "-o", help="Output file (default: stdout)", type=str + ) parser.add_argument("--pretty", "-p", help="Pretty-print JSON", action="store_true") args = parser.parse_args() - + info = capture_system_info() output = json.dumps(info, indent=2) if args.pretty else json.dumps(info) - + if args.output: - with open(args.output, 'w') as f: + with open(args.output, "w") as f: f.write(output) print(f"System information saved to: {args.output}", file=sys.stderr) else: diff --git a/reproduce/benchmarks/results/.gitignore b/README_IF_YOU_ARE_AN_AI/benchmarks/results/.gitignore similarity index 100% rename from reproduce/benchmarks/results/.gitignore rename to README_IF_YOU_ARE_AN_AI/benchmarks/results/.gitignore diff --git a/reproduce/benchmarks/results/README.md b/README_IF_YOU_ARE_AN_AI/benchmarks/results/README.md similarity index 62% rename from reproduce/benchmarks/results/README.md rename to README_IF_YOU_ARE_AN_AI/benchmarks/results/README.md index d7c3ff1..56d82c6 100644 --- a/reproduce/benchmarks/results/README.md +++ b/README_IF_YOU_ARE_AN_AI/benchmarks/results/README.md @@ -12,21 +12,21 @@ This directory contains benchmark results from reproduction runs. Benchmarks are automatically created when you run: ```bash -./reproduce/benchmarks/benchmark.sh [--min] [--notes "..."] +./README_IF_YOU_ARE_AN_AI/benchmarks/benchmark.sh [--min] [--notes "..."] ``` The latest benchmark is always accessible via: ```bash -cat reproduce/benchmarks/results/latest.json | jq . +cat README_IF_YOU_ARE_AN_AI/benchmarks/results/latest.json | jq . ``` ## Reference Benchmarks To save a benchmark for reference (e.g., to track performance over time): ```bash -cp reproduce/benchmarks/results/autogenerated/20250117-143022_min_darwin-arm64.json \ - reproduce/benchmarks/results/saved/20250117_reference_m1max.json -git add reproduce/benchmarks/results/saved/20250117_reference_m1max.json +cp README_IF_YOU_ARE_AN_AI/benchmarks/results/autogenerated/20250117-143022_min_darwin-arm64.json \ + README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/20250117_reference_m1max.json +git add README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/20250117_reference_m1max.json ``` Reference benchmarks should be named descriptively (e.g., `YYYYMMDD_reference_hardware.json`). diff --git a/reproduce/benchmarks/results/saved/.gitkeep b/README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/.gitkeep similarity index 100% rename from reproduce/benchmarks/results/saved/.gitkeep rename to README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/.gitkeep diff --git a/reproduce/benchmarks/results/saved/20260117_reference_m4max_darwin-arm64.json b/README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/20260117_reference_m4max_darwin-arm64.json similarity index 100% rename from reproduce/benchmarks/results/saved/20260117_reference_m4max_darwin-arm64.json rename to README_IF_YOU_ARE_AN_AI/benchmarks/results/saved/20260117_reference_m4max_darwin-arm64.json diff --git a/reproduce/benchmarks/schema.json b/README_IF_YOU_ARE_AN_AI/benchmarks/schema.json similarity index 100% rename from reproduce/benchmarks/schema.json rename to README_IF_YOU_ARE_AN_AI/benchmarks/schema.json diff --git a/metadata/README.md b/README_IF_YOU_ARE_AN_AI/metadata/README.md similarity index 90% rename from metadata/README.md rename to README_IF_YOU_ARE_AN_AI/metadata/README.md index e4b8ae8..945f769 100644 --- a/metadata/README.md +++ b/README_IF_YOU_ARE_AN_AI/metadata/README.md @@ -26,7 +26,7 @@ These files are specifically designed for programmatic access by AI systems: ```python import json -with open('metadata/equations.json') as f: +with open('README_IF_YOU_ARE_AN_AI/metadata/equations.json') as f: eq_data = json.load(f) # Get the moderation ratio equation @@ -39,7 +39,7 @@ for eq in eq_data['equations']: ### SymPy (Included in Project Dependencies) ```python -from metadata.equations import ( +from README_IF_YOU_ARE_AN_AI.metadata.equations import ( consumption_optimist, consumption_pessimist, moderation_ratio_definition, logit_moderation, EQUATIONS, get_equation_latex @@ -64,7 +64,7 @@ for name in EQUATIONS: ```python import json -with open('metadata/parameters.json') as f: +with open('README_IF_YOU_ARE_AN_AI/metadata/parameters.json') as f: params = json.load(f) # Get default CRRA value @@ -81,7 +81,7 @@ print(f"Valid range: {crra_range['min']} to {crra_range['max']}") ```python import json -with open('metadata/algorithm.json') as f: +with open('README_IF_YOU_ARE_AN_AI/metadata/algorithm.json') as f: algo = json.load(f) # List algorithm steps diff --git a/metadata/algorithm.json b/README_IF_YOU_ARE_AN_AI/metadata/algorithm.json similarity index 94% rename from metadata/algorithm.json rename to README_IF_YOU_ARE_AN_AI/metadata/algorithm.json index e3f0595..ae8b56e 100644 --- a/metadata/algorithm.json +++ b/README_IF_YOU_ARE_AN_AI/metadata/algorithm.json @@ -5,15 +5,15 @@ "description": "A numerical technique for solving consumption-saving problems with theoretically-guaranteed extrapolation properties", "domain": "computational economics", "problem_class": "dynamic stochastic optimization", - + "problem_solved": { "name": "Consumption-Saving Problem with Idiosyncratic Income Risk", "description": "A consumer maximizes expected discounted utility over consumption subject to stochastic income and borrowing constraints", "difficulty": "Standard numerical methods fail to extrapolate properly outside computed gridpoints" }, - + "key_insight": "The optimal consumption of a risk-aware consumer is bounded between analytical solutions for a pessimist (worst-case income) and optimist (expected income). Working in this bounded space with a logit transformation produces asymptotically linear functions that extrapolate well.", - + "algorithm_steps": [ { "step": 1, @@ -67,20 +67,20 @@ "guarantee": "c_pes(m) < ĉ(m) < c_opt(m) always holds" } ], - + "theoretical_guarantees": [ "Consumption is always bounded between pessimist and optimist", "No negative precautionary saving possible", "Asymptotically correct behavior for large wealth", "Smooth extrapolation beyond computed grid" ], - + "computational_properties": { "complexity": "Same as standard EGM plus O(N) transformation overhead", "gridpoints_required": "Same as standard methods", "numerical_stability": "Uses log1p/expm1 for robust floating-point arithmetic" }, - + "extensions": [ { "name": "Tighter upper bound", @@ -95,15 +95,12 @@ "description": "Same technique applied to value function approximation" } ], - + "implementation": { "language": "Python", "dependencies": ["numpy", "scipy", "econ-ark/HARK"], "main_file": "code/moderation.py", - "key_classes": [ - "IndShockEGMConsumerType", - "IndShockMoMConsumerType" - ], + "key_classes": ["IndShockEGMConsumerType", "IndShockMoMConsumerType"], "key_functions": [ "method_of_moderation", "endogenous_grid_method", @@ -111,11 +108,17 @@ "expit_moderate" ] }, - + "references": { "primary_paper": { "title": "The Method of Moderation", - "authors": ["Christopher D. Carroll", "Alan Lujan", "Karsten Chipeniuk", "Kiichi Tokuoka", "Weifeng Wu"], + "authors": [ + "Christopher D. Carroll", + "Alan Lujan", + "Karsten Chipeniuk", + "Kiichi Tokuoka", + "Weifeng Wu" + ], "year": 2025 }, "foundational_methods": [ diff --git a/metadata/equations.json b/README_IF_YOU_ARE_AN_AI/metadata/equations.json similarity index 99% rename from metadata/equations.json rename to README_IF_YOU_ARE_AN_AI/metadata/equations.json index d3904df..f2d2b1e 100644 --- a/metadata/equations.json +++ b/README_IF_YOU_ARE_AN_AI/metadata/equations.json @@ -2,7 +2,7 @@ "_metadata": { "description": "Method of Moderation equations in machine-readable format", "notation": "Unicode mathematical symbols matching paper notation", - "generated_from": "metadata/equations.py" + "generated_from": "README_IF_YOU_ARE_AN_AI/metadata/equations.py" }, "equations": { "utility": { @@ -118,4 +118,4 @@ "sympy_repr": "Add(Symbol('m_min', real=True), Mul(Symbol('Δh', real=True, positive=True), Symbol('𝛋_min', real=True, positive=True), Pow(Add(Symbol('𝛋_max', real=True, positive=True), Mul(Integer(-1), Symbol('𝛋_min', real=True, positive=True))), Integer(-1))))" } } -} \ No newline at end of file +} diff --git a/metadata/equations.py b/README_IF_YOU_ARE_AN_AI/metadata/equations.py similarity index 51% rename from metadata/equations.py rename to README_IF_YOU_ARE_AN_AI/metadata/equations.py index bd00b96..0df4620 100644 --- a/metadata/equations.py +++ b/README_IF_YOU_ARE_AN_AI/metadata/equations.py @@ -29,11 +29,10 @@ """ from sympy import ( - Symbol, Function, Eq, log, exp, sqrt, - Rational, oo, simplify, diff, latex, - symbols, Piecewise, And, Or, Not, - summation, product, integrate, - Lambda, factorial, binomial, + Function, + Symbol, + exp, + log, ) # ============================================================================= @@ -41,99 +40,105 @@ # ============================================================================= # Economic parameters (Greek letters) -β = Symbol('β', real=True, positive=True) # Discount factor (\DiscFac) -ρ = Symbol('ρ', real=True, positive=True) # CRRA risk aversion (\CRRA) -R = Symbol('R', real=True, positive=True) # Gross interest rate (\Rfree) -Γ = Symbol('Γ', real=True, positive=True) # Permanent income growth (\PermGroFac) +β = Symbol("β", real=True, positive=True) # Discount factor (\DiscFac) +ρ = Symbol("ρ", real=True, positive=True) # CRRA risk aversion (\CRRA) +R = Symbol("R", real=True, positive=True) # Gross interest rate (\Rfree) +Γ = Symbol("Γ", real=True, positive=True) # Permanent income growth (\PermGroFac) # Shock parameters -θ = Symbol('θ', real=True, positive=True) # Transitory shock (\tranShkEmp) -ψ = Symbol('ψ', real=True, positive=True) # Permanent shock (\permShk) -θ_min = Symbol('θ_min', real=True, nonnegative=True) # Minimum transitory (\tranShkEmpMin) -℘ = Symbol('℘', real=True, positive=True) # Unemployment probability (\WorstProb) +θ = Symbol("θ", real=True, positive=True) # Transitory shock (\tranShkEmp) +ψ = Symbol("ψ", real=True, positive=True) # Permanent shock (\permShk) +θ_min = Symbol( + "θ_min", real=True, nonnegative=True +) # Minimum transitory (\tranShkEmpMin) +℘ = Symbol("℘", real=True, positive=True) # Unemployment probability (\WorstProb) # Patience factor -Þ = Symbol('Þ', real=True, positive=True) # Absolute patience factor (\AbsPatFac) +Þ = Symbol("Þ", real=True, positive=True) # Absolute patience factor (\AbsPatFac) # ============================================================================= # Symbol Definitions - State Variables (Normalized) # ============================================================================= # Normalized state variables (ASCII - matching \mNrm etc.) -m = Symbol('m', real=True, positive=True) # Market resources (\mNrm) -c = Symbol('c', real=True, positive=True) # Consumption (\cNrm) -a = Symbol('a', real=True) # End-of-period assets (\aNrm) -h = Symbol('h', real=True) # Human wealth (\hNrm) +m = Symbol("m", real=True, positive=True) # Market resources (\mNrm) +c = Symbol("c", real=True, positive=True) # Consumption (\cNrm) +a = Symbol("a", real=True) # End-of-period assets (\aNrm) +h = Symbol("h", real=True) # Human wealth (\hNrm) # Next period -m_next = Symbol("m'", real=True, positive=True) # Next period market resources -c_next = Symbol("c'", real=True, positive=True) # Next period consumption +m_next = Symbol("m'", real=True, positive=True) # Next period market resources +c_next = Symbol("c'", real=True, positive=True) # Next period consumption # ============================================================================= # Symbol Definitions - Bounds and Constraints # ============================================================================= # MPC bounds (bold kappa: 𝛋) -𝛋_min = Symbol('𝛋_min', real=True, positive=True) # Minimum MPC (\MPCmin) -𝛋_max = Symbol('𝛋_max', real=True, positive=True) # Maximum MPC (\MPCmax) +𝛋_min = Symbol("𝛋_min", real=True, positive=True) # Minimum MPC (\MPCmin) +𝛋_max = Symbol("𝛋_max", real=True, positive=True) # Maximum MPC (\MPCmax) # Human wealth variants -h̄ = Symbol('h̄', real=True) # Optimist human wealth (\hNrmOpt) -h_min = Symbol('h_min', real=True) # Pessimist human wealth (\hNrmPes) -Δh = Symbol('Δh', real=True, positive=True) # Excess human wealth (\hNrmEx) +h̄ = Symbol("h̄", real=True) # Optimist human wealth (\hNrmOpt) +h_min = Symbol("h_min", real=True) # Pessimist human wealth (\hNrmPes) +Δh = Symbol("Δh", real=True, positive=True) # Excess human wealth (\hNrmEx) # Market resources bounds -m_min = Symbol('m_min', real=True) # Natural borrowing constraint (\mNrmMin) -Δm = Symbol('Δm', real=True, positive=True) # Excess market resources (\mNrmEx) -μ = Symbol('μ', real=True) # Log excess resources (\logmNrmEx) +m_min = Symbol("m_min", real=True) # Natural borrowing constraint (\mNrmMin) +Δm = Symbol("Δm", real=True, positive=True) # Excess market resources (\mNrmEx) +μ = Symbol("μ", real=True) # Log excess resources (\logmNrmEx) # Cusp point -m_cusp = Symbol('m*', real=True) # Cusp point (\mNrmCusp) +m_cusp = Symbol("m*", real=True) # Cusp point (\mNrmCusp) # ============================================================================= # Symbol Definitions - Method of Moderation Variables # ============================================================================= # Bold omega and chi (moderation framework) -𝛚 = Symbol('𝛚', real=True, positive=True) # Moderation ratio (\modRte) -𝛘 = Symbol('𝛘', real=True) # Logit moderation (\logitModRte) -𝛘_hat = Symbol('𝛘̂', real=True) # Approximated logit +𝛚 = Symbol("𝛚", real=True, positive=True) # Moderation ratio (\modRte) +𝛘 = Symbol("𝛘", real=True) # Logit moderation (\logitModRte) +𝛘_hat = Symbol("𝛘̂", real=True) # Approximated logit # Value function moderation (bold Omega) -𝛀 = Symbol('𝛀', real=True, positive=True) # Value moderation ratio (\valModRte) +𝛀 = Symbol("𝛀", real=True, positive=True) # Value moderation ratio (\valModRte) # ============================================================================= # Utility Function (𝐮) # ============================================================================= + def 𝐮(c_val, ρ_val=ρ): """CRRA utility function u(c) = c^(1-ρ)/(1-ρ) for ρ ≠ 1.""" - return c_val**(1 - ρ_val) / (1 - ρ_val) + return c_val ** (1 - ρ_val) / (1 - ρ_val) + def 𝐮_prime(c_val, ρ_val=ρ): """Marginal utility u'(c) = c^(-ρ).""" - return c_val**(-ρ_val) + return c_val ** (-ρ_val) + def 𝐮_prime_inv(u_prime_val, ρ_val=ρ): """Inverse marginal utility: c = u'^(-1/ρ).""" - return u_prime_val**(-1/ρ_val) + return u_prime_val ** (-1 / ρ_val) + # Symbolic utility expressions -u_of_c = c**(1 - ρ) / (1 - ρ) -u_prime_of_c = c**(-ρ) +u_of_c = c ** (1 - ρ) / (1 - ρ) +u_prime_of_c = c ** (-ρ) # ============================================================================= # Patience Factor and MPC Formulas # ============================================================================= # Absolute patience factor: Þ = (βR)^(1/ρ) -Þ_formula = (β * R)**(1/ρ) +Þ_formula = (β * R) ** (1 / ρ) # Minimum MPC: 𝛋_min = 1 - Þ/R 𝛋_min_formula = 1 - Þ / R # Maximum MPC: 𝛋_max = 1 - ℘^(1/ρ) × Þ/R -𝛋_max_formula = 1 - ℘**(1/ρ) * Þ / R +𝛋_max_formula = 1 - ℘ ** (1 / ρ) * Þ / R # ============================================================================= # Human Wealth Formulas @@ -166,7 +171,7 @@ def 𝐮_prime_inv(u_prime_val, ρ_val=ρ): 𝐜_tight = 𝐜_opt - (𝛋_max - 𝛋_min) * Δm # Realist consumption (symbolic placeholder) -𝐜_real = Symbol('𝐜̂', real=True, positive=True) +𝐜_real = Symbol("𝐜̂", real=True, positive=True) # ============================================================================= # Moderation Ratio (𝛚) @@ -213,10 +218,10 @@ def 𝐮_prime_inv(u_prime_val, ρ_val=ρ): # ============================================================================= # Value function symbols -𝐯 = Function('𝐯') # Value function (\vFunc) -𝐯_opt = Function('𝐯̄') # Optimist value (\vFuncOpt) -𝐯_pes = Function('𝐯̲') # Pessimist value (\vFuncPes) -𝐯_real = Function('𝐯̂') # Realist value (\vFuncReal) +𝐯 = Function("𝐯") # Value function (\vFunc) +𝐯_opt = Function("𝐯̄") # Optimist value (\vFuncOpt) +𝐯_pes = Function("𝐯̲") # Pessimist value (\vFuncPes) +𝐯_real = Function("𝐯̂") # Realist value (\vFuncReal) # ============================================================================= # Euler Equation @@ -224,122 +229,122 @@ def 𝐮_prime_inv(u_prime_val, ρ_val=ρ): # u'(c) = βR E[Ψ^(-ρ) u'(c')] # c^(-ρ) = βR E[Ψ^(-ρ) (c')^(-ρ)] -Ψ = Symbol('Ψ', real=True, positive=True) # Combined permanent shock -euler_lhs = c**(-ρ) -euler_rhs_kernel = β * R * Ψ**(-ρ) * c_next**(-ρ) +Ψ = Symbol("Ψ", real=True, positive=True) # Combined permanent shock +euler_lhs = c ** (-ρ) +euler_rhs_kernel = β * R * Ψ ** (-ρ) * c_next ** (-ρ) # ============================================================================= # Patience Conditions # ============================================================================= # Condition expressions (must be positive for solution to exist) -condition_AIC = 1 - Þ # Þ < 1 -condition_RIC = 1 - Þ / R # Þ/R < 1 (equiv to 𝛋_min > 0) -condition_GIC = 1 - Þ / Γ # Þ/Γ < 1 -condition_FHWC = 1 - Γ / R # Γ/R < 1 (finite human wealth) +condition_AIC = 1 - Þ # Þ < 1 +condition_RIC = 1 - Þ / R # Þ/R < 1 (equiv to 𝛋_min > 0) +condition_GIC = 1 - Þ / Γ # Þ/Γ < 1 +condition_FHWC = 1 - Γ / R # Γ/R < 1 (finite human wealth) # ============================================================================= # Equation Dictionary (for programmatic access) # ============================================================================= EQUATIONS = { - 'utility': { - 'name': 'CRRA Utility Function', - 'sympy': u_of_c, - 'latex': r'𝐮(c) = \frac{c^{1-ρ}}{1-ρ}', - 'latex_macro': r'\uFunc(\cNrm) = \frac{\cNrm^{1-\CRRA}}{1-\CRRA}', - 'description': 'Constant relative risk aversion utility' + "utility": { + "name": "CRRA Utility Function", + "sympy": u_of_c, + "latex": r"𝐮(c) = \frac{c^{1-ρ}}{1-ρ}", + "latex_macro": r"\uFunc(\cNrm) = \frac{\cNrm^{1-\CRRA}}{1-\CRRA}", + "description": "Constant relative risk aversion utility", }, - 'marginal_utility': { - 'name': 'Marginal Utility', - 'sympy': u_prime_of_c, - 'latex': r"𝐮'(c) = c^{-ρ}", - 'latex_macro': r"\uPrime(\cNrm) = \cNrm^{-\CRRA}", - 'description': 'First derivative of utility' + "marginal_utility": { + "name": "Marginal Utility", + "sympy": u_prime_of_c, + "latex": r"𝐮'(c) = c^{-ρ}", + "latex_macro": r"\uPrime(\cNrm) = \cNrm^{-\CRRA}", + "description": "First derivative of utility", }, - 'patience_factor': { - 'name': 'Absolute Patience Factor', - 'sympy': Þ_formula, - 'latex': r'Þ = (βR)^{1/ρ}', - 'latex_macro': r'\AbsPatFac = (\DiscFac \Rfree)^{1/\CRRA}', - 'description': 'Key parameter for impatience conditions' + "patience_factor": { + "name": "Absolute Patience Factor", + "sympy": Þ_formula, + "latex": r"Þ = (βR)^{1/ρ}", + "latex_macro": r"\AbsPatFac = (\DiscFac \Rfree)^{1/\CRRA}", + "description": "Key parameter for impatience conditions", }, - 'mpc_min': { - 'name': 'Minimum MPC', - 'sympy': 𝛋_min_formula, - 'latex': r'𝛋_{min} = 1 - \frac{Þ}{R}', - 'latex_macro': r'\MPCmin = 1 - \frac{\AbsPatFac}{\Rfree}', - 'description': 'MPC of perfect foresight consumer' + "mpc_min": { + "name": "Minimum MPC", + "sympy": 𝛋_min_formula, + "latex": r"𝛋_{min} = 1 - \frac{Þ}{R}", + "latex_macro": r"\MPCmin = 1 - \frac{\AbsPatFac}{\Rfree}", + "description": "MPC of perfect foresight consumer", }, - 'mpc_max': { - 'name': 'Maximum MPC', - 'sympy': 𝛋_max_formula, - 'latex': r'𝛋_{max} = 1 - ℘^{1/ρ} \frac{Þ}{R}', - 'latex_macro': r'\MPCmax = 1 - \WorstProb^{1/\CRRA} \frac{\AbsPatFac}{\Rfree}', - 'description': 'Upper bound on MPC' + "mpc_max": { + "name": "Maximum MPC", + "sympy": 𝛋_max_formula, + "latex": r"𝛋_{max} = 1 - ℘^{1/ρ} \frac{Þ}{R}", + "latex_macro": r"\MPCmax = 1 - \WorstProb^{1/\CRRA} \frac{\AbsPatFac}{\Rfree}", + "description": "Upper bound on MPC", }, - 'human_wealth': { - 'name': 'Human Wealth (Optimist)', - 'sympy': h̄_formula, - 'latex': r'h̄ = \frac{Γ}{R - Γ}', - 'latex_macro': r'\hNrmOpt = \frac{\PermGroFac}{\Rfree - \PermGroFac}', - 'description': 'PDV of expected future income' + "human_wealth": { + "name": "Human Wealth (Optimist)", + "sympy": h̄_formula, + "latex": r"h̄ = \frac{Γ}{R - Γ}", + "latex_macro": r"\hNrmOpt = \frac{\PermGroFac}{\Rfree - \PermGroFac}", + "description": "PDV of expected future income", }, - 'consumption_optimist': { - 'name': 'Optimist Consumption', - 'sympy': 𝐜_opt, - 'latex': r'𝐜̄(m) = 𝛋_{min} (m + h̄)', - 'latex_macro': r'\cFuncOpt(\mNrm) = \MPCmin (\mNrm + \hNrmOpt)', - 'description': 'Upper bound consumption function' + "consumption_optimist": { + "name": "Optimist Consumption", + "sympy": 𝐜_opt, + "latex": r"𝐜̄(m) = 𝛋_{min} (m + h̄)", + "latex_macro": r"\cFuncOpt(\mNrm) = \MPCmin (\mNrm + \hNrmOpt)", + "description": "Upper bound consumption function", }, - 'consumption_pessimist': { - 'name': 'Pessimist Consumption', - 'sympy': 𝐜_pes, - 'latex': r'𝐜̲(m) = 𝛋_{min} (m - m_{min})', - 'latex_macro': r'\cFuncPes(\mNrm) = \MPCmin (\mNrm - \mNrmMin)', - 'description': 'Lower bound consumption function' + "consumption_pessimist": { + "name": "Pessimist Consumption", + "sympy": 𝐜_pes, + "latex": r"𝐜̲(m) = 𝛋_{min} (m - m_{min})", + "latex_macro": r"\cFuncPes(\mNrm) = \MPCmin (\mNrm - \mNrmMin)", + "description": "Lower bound consumption function", }, - 'moderation_ratio': { - 'name': 'Moderation Ratio', - 'sympy': 𝛚_definition, - 'latex': r'𝛚 = \frac{𝐜̂ - 𝐜̲}{𝐜̄ - 𝐜̲}', - 'latex_macro': r'\modRte = \frac{\cFuncReal - \cFuncPes}{\cFuncOpt - \cFuncPes}', - 'description': 'Position between bounds (0 < 𝛚 < 1)' + "moderation_ratio": { + "name": "Moderation Ratio", + "sympy": 𝛚_definition, + "latex": r"𝛚 = \frac{𝐜̂ - 𝐜̲}{𝐜̄ - 𝐜̲}", + "latex_macro": r"\modRte = \frac{\cFuncReal - \cFuncPes}{\cFuncOpt - \cFuncPes}", + "description": "Position between bounds (0 < 𝛚 < 1)", }, - 'log_excess_resources': { - 'name': 'Log Excess Resources', - 'sympy': μ_definition, - 'latex': r'μ = \log(m - m_{min})', - 'latex_macro': r'\logmNrmEx = \log(\mNrm - \mNrmMin)', - 'description': 'Transformed state variable' + "log_excess_resources": { + "name": "Log Excess Resources", + "sympy": μ_definition, + "latex": r"μ = \log(m - m_{min})", + "latex_macro": r"\logmNrmEx = \log(\mNrm - \mNrmMin)", + "description": "Transformed state variable", }, - 'logit_moderation': { - 'name': 'Chi Function (Logit)', - 'sympy': 𝛘_definition, - 'latex': r'𝛘 = \log\left(\frac{𝛚}{1-𝛚}\right)', - 'latex_macro': r'\logitModRte = \log\left(\frac{\modRte}{1-\modRte}\right)', - 'description': 'Asymptotically linear transformation' + "logit_moderation": { + "name": "Chi Function (Logit)", + "sympy": 𝛘_definition, + "latex": r"𝛘 = \log\left(\frac{𝛚}{1-𝛚}\right)", + "latex_macro": r"\logitModRte = \log\left(\frac{\modRte}{1-\modRte}\right)", + "description": "Asymptotically linear transformation", }, - 'expit_moderation': { - 'name': 'Inverse Logit (Expit)', - 'sympy': 𝛚_from_𝛘, - 'latex': r'𝛚 = \frac{1}{1 + e^{-𝛘}}', - 'latex_macro': r'\modRte = \frac{1}{1 + e^{-\logitModRte}}', - 'description': 'Inverse chi transformation' + "expit_moderation": { + "name": "Inverse Logit (Expit)", + "sympy": 𝛚_from_𝛘, + "latex": r"𝛚 = \frac{1}{1 + e^{-𝛘}}", + "latex_macro": r"\modRte = \frac{1}{1 + e^{-\logitModRte}}", + "description": "Inverse chi transformation", }, - 'consumption_reconstructed': { - 'name': 'Reconstructed Consumption', - 'sympy': 𝐜_reconstructed, - 'latex': r'𝐜̂(m) = 𝐜̲(m) + 𝛚̂ (𝐜̄(m) - 𝐜̲(m))', - 'latex_macro': r'\cFuncReal(\mNrm) = \cFuncPes(\mNrm) + \hat{\modRte} (\cFuncOpt(\mNrm) - \cFuncPes(\mNrm))', - 'description': 'Final consumption formula from Method of Moderation' + "consumption_reconstructed": { + "name": "Reconstructed Consumption", + "sympy": 𝐜_reconstructed, + "latex": r"𝐜̂(m) = 𝐜̲(m) + 𝛚̂ (𝐜̄(m) - 𝐜̲(m))", + "latex_macro": r"\cFuncReal(\mNrm) = \cFuncPes(\mNrm) + \hat{\modRte} (\cFuncOpt(\mNrm) - \cFuncPes(\mNrm))", + "description": "Final consumption formula from Method of Moderation", }, - 'cusp_point': { - 'name': 'Cusp Point', - 'sympy': m_cusp_formula, - 'latex': r'm^* = m_{min} + \frac{𝛋_{min} Δh}{𝛋_{max} - 𝛋_{min}}', - 'latex_macro': r'\mNrmCusp = \mNrmMin + \frac{\MPCmin \hNrmEx}{\MPCmax - \MPCmin}', - 'description': 'Where tight bound crosses pessimist' + "cusp_point": { + "name": "Cusp Point", + "sympy": m_cusp_formula, + "latex": r"m^* = m_{min} + \frac{𝛋_{min} Δh}{𝛋_{max} - 𝛋_{min}}", + "latex_macro": r"\mNrmCusp = \mNrmMin + \frac{\MPCmin \hNrmEx}{\MPCmax - \MPCmin}", + "description": "Where tight bound crosses pessimist", }, } @@ -381,38 +386,42 @@ def 𝐮_prime_inv(u_prime_val, ρ_val=ρ): # Helper Functions # ============================================================================= + def get_equation_latex(name, use_macros=False): """Get LaTeX representation of named equation. - + Args: name: Equation name from EQUATIONS dict use_macros: If True, return LaTeX with macro names; otherwise Unicode """ if name in EQUATIONS: - key = 'latex_macro' if use_macros else 'latex' - return EQUATIONS[name].get(key, EQUATIONS[name]['latex']) + key = "latex_macro" if use_macros else "latex" + return EQUATIONS[name].get(key, EQUATIONS[name]["latex"]) raise KeyError(f"Unknown equation: {name}") + def get_equation_sympy(name): """Get SymPy expression for named equation.""" if name in EQUATIONS: - return EQUATIONS[name]['sympy'] + return EQUATIONS[name]["sympy"] raise KeyError(f"Unknown equation: {name}") + def list_equations(): """List all available equations.""" return list(EQUATIONS.keys()) + def evaluate_consumption(m_val, κ_min_val, h_val, m_min_val, ω_val): """Evaluate the Method of Moderation consumption formula numerically. - + Args: m_val: Market resources κ_min_val: Minimum MPC h_val: Human wealth (optimist) m_min_val: Natural borrowing constraint ω_val: Moderation ratio - + Returns: Consumption value """ @@ -420,53 +429,72 @@ def evaluate_consumption(m_val, κ_min_val, h_val, m_min_val, ω_val): c_opt = κ_min_val * (m_val + h_val) return c_pes + ω_val * (c_opt - c_pes) + def compute_moderation_ratio(c_val, m_val, κ_min_val, h_val, m_min_val): """Compute moderation ratio from consumption value.""" c_pes = κ_min_val * (m_val - m_min_val) c_opt = κ_min_val * (m_val + h_val) return (c_val - c_pes) / (c_opt - c_pes) + # ============================================================================= # Module-level exports # ============================================================================= __all__ = [ - # Primary symbols (Unicode) - 'β', 'ρ', 'R', 'Γ', 'θ', 'ψ', 'θ_min', '℘', 'Þ', - 'm', 'c', 'a', 'h', 'm_next', 'c_next', - '𝛋_min', '𝛋_max', 'h̄', 'h_min', 'Δh', 'm_min', 'Δm', 'μ', 'm_cusp', - '𝛚', '𝛘', '𝛘_hat', '𝛀', - + # Primary symbols (ASCII safe) + "R", + "m", + "c", + "a", + "h", + "m_next", + "c_next", + "h_min", + "m_min", + "m_cusp", # Expressions - 'u_of_c', 'u_prime_of_c', - 'Þ_formula', '𝛋_min_formula', '𝛋_max_formula', - 'h̄_formula', 'h_min_formula', 'Δh_formula', 'm_min_formula', - '𝐜_opt', '𝐜_pes', '𝐜_pes_excess', '𝐜_tight', '𝐜_real', '𝐜_reconstructed', - '𝛚_definition', '𝛚_simplified', '𝛚_from_𝛘', '𝛚_hat', - 'μ_definition', '𝛘_definition', - 'm_cusp_formula', - 'condition_AIC', 'condition_RIC', 'condition_GIC', 'condition_FHWC', - - # Functions - '𝐮', '𝐮_prime', '𝐮_prime_inv', - '𝐯', '𝐯_opt', '𝐯_pes', '𝐯_real', - + "u_of_c", + "u_prime_of_c", + "h_min_formula", + "m_min_formula", + "m_cusp_formula", + "condition_AIC", + "condition_RIC", + "condition_GIC", + "condition_FHWC", # Aliases (ASCII for convenience) - 'beta', 'rho', 'Rfree', 'PermGroFac', 'DiscFac', 'CRRA', - 'kappa_min', 'kappa_max', 'MPCmin', 'MPCmax', - 'omega', 'chi', 'modRte', 'logitModRte', - 'cFuncOpt', 'cFuncPes', 'consumption_optimist', 'consumption_pessimist', - 'hNrmOpt', 'h_opt', - + "beta", + "rho", + "Rfree", + "PermGroFac", + "DiscFac", + "CRRA", + "kappa_min", + "kappa_max", + "MPCmin", + "MPCmax", + "omega", + "chi", + "modRte", + "logitModRte", + "cFuncOpt", + "cFuncPes", + "consumption_optimist", + "consumption_pessimist", + "hNrmOpt", + "h_opt", # Dictionary - 'EQUATIONS', - + "EQUATIONS", # Helper functions - 'get_equation_latex', 'get_equation_sympy', 'list_equations', - 'evaluate_consumption', 'compute_moderation_ratio', + "get_equation_latex", + "get_equation_sympy", + "list_equations", + "evaluate_consumption", + "compute_moderation_ratio", ] -if __name__ == '__main__': +if __name__ == "__main__": # Demo: Print all equations print("Method of Moderation Equations (Unicode SymPy)") print("=" * 60) diff --git a/metadata/parameters.json b/README_IF_YOU_ARE_AN_AI/metadata/parameters.json similarity index 87% rename from metadata/parameters.json rename to README_IF_YOU_ARE_AN_AI/metadata/parameters.json index bfeec1f..08219fc 100644 --- a/metadata/parameters.json +++ b/README_IF_YOU_ARE_AN_AI/metadata/parameters.json @@ -2,13 +2,13 @@ "$schema": "https://json-schema.org/draft/2020-12/schema", "name": "Method of Moderation Parameters", "description": "Default parameter values and valid ranges for the Method of Moderation consumption-saving model", - + "preference_parameters": { "CRRA": { "symbol": "ρ", "name": "Coefficient of Relative Risk Aversion", "default": 2.0, - "valid_range": {"min": 1.0, "max": 10.0, "exclusive_min": false}, + "valid_range": { "min": 1.0, "max": 10.0, "exclusive_min": false }, "typical_values": [1.0, 2.0, 3.0, 5.0], "description": "Higher values indicate more risk averse consumers", "units": "dimensionless" @@ -17,19 +17,24 @@ "symbol": "β", "name": "Discount Factor", "default": 0.96, - "valid_range": {"min": 0.0, "max": 1.0, "exclusive_min": true, "exclusive_max": true}, + "valid_range": { + "min": 0.0, + "max": 1.0, + "exclusive_min": true, + "exclusive_max": true + }, "typical_values": [0.94, 0.96, 0.98], "description": "How much the consumer values future utility relative to present", "units": "per period" } }, - + "income_parameters": { "PermGroFac": { "symbol": "Γ", "name": "Permanent Income Growth Factor", "default": 1.0, - "valid_range": {"min": 0.9, "max": 1.1}, + "valid_range": { "min": 0.9, "max": 1.1 }, "typical_values": [1.0, 1.01, 1.02], "description": "Expected growth rate of permanent income", "units": "per period" @@ -38,7 +43,7 @@ "symbol": "σ_ψ", "name": "Permanent Shock Standard Deviation", "default": 0.1, - "valid_range": {"min": 0.0, "max": 0.5}, + "valid_range": { "min": 0.0, "max": 0.5 }, "typical_values": [0.0, 0.05, 0.1], "description": "Standard deviation of log permanent income shocks", "units": "log points" @@ -47,7 +52,7 @@ "symbol": "σ_θ", "name": "Transitory Shock Standard Deviation", "default": 0.1, - "valid_range": {"min": 0.0, "max": 0.5}, + "valid_range": { "min": 0.0, "max": 0.5 }, "typical_values": [0.0, 0.1, 0.2], "description": "Standard deviation of log transitory income shocks", "units": "log points" @@ -56,54 +61,54 @@ "symbol": "℘", "name": "Unemployment Probability", "default": 0.005, - "valid_range": {"min": 0.0, "max": 0.5, "exclusive_min": true}, + "valid_range": { "min": 0.0, "max": 0.5, "exclusive_min": true }, "typical_values": [0.005, 0.01, 0.05], "description": "Probability of zero income (unemployment)", "units": "per period", "note": "Must be positive for natural borrowing constraint" } }, - + "market_parameters": { "Rfree": { "symbol": "R", "name": "Gross Risk-Free Interest Rate", "default": 1.03, - "valid_range": {"min": 1.0, "max": 1.2, "exclusive_min": true}, + "valid_range": { "min": 1.0, "max": 1.2, "exclusive_min": true }, "typical_values": [1.01, 1.03, 1.05], "description": "Gross return on assets (1 + r)", "units": "per period" } }, - + "computational_parameters": { "aXtraMin": { "name": "Minimum Asset Grid Point", "default": 0.001, - "valid_range": {"min": 0.0, "max": 0.1, "exclusive_min": true}, + "valid_range": { "min": 0.0, "max": 0.1, "exclusive_min": true }, "description": "Smallest end-of-period asset value on grid" }, "aXtraMax": { "name": "Maximum Asset Grid Point", "default": 20.0, - "valid_range": {"min": 5.0, "max": 100.0}, + "valid_range": { "min": 5.0, "max": 100.0 }, "description": "Largest end-of-period asset value on grid" }, "aXtraCount": { "name": "Number of Asset Grid Points", "default": 48, - "valid_range": {"min": 10, "max": 500}, + "valid_range": { "min": 10, "max": 500 }, "typical_values": [24, 48, 96, 192], "description": "Number of points in the asset grid" }, "aXtraNestFac": { "name": "Asset Grid Nesting Factor", "default": 3, - "valid_range": {"min": 1, "max": 10}, + "valid_range": { "min": 1, "max": 10 }, "description": "Controls grid point density near borrowing constraint" } }, - + "derived_quantities": { "PatFac": { "symbol": "Þ", @@ -137,7 +142,7 @@ "description": "Minimum feasible market resources" } }, - + "patience_conditions": { "description": "Conditions required for a finite solution to exist", "conditions": [ @@ -168,7 +173,7 @@ } ] }, - + "default_configuration": { "description": "Standard parameter set for examples and testing", "CRRA": 2.0, diff --git a/code/method-of-moderation-myst.ipynb b/code/method-of-moderation-myst.ipynb index cf6e685..ff7f78f 100644 --- a/code/method-of-moderation-myst.ipynb +++ b/code/method-of-moderation-myst.ipynb @@ -1101,9 +1101,6 @@ } ], "metadata": { - "jupytext": { - "formats": "ipynb,md" - }, "kernelspec": { "display_name": ".venv", "language": "python", @@ -1124,4 +1121,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} \ No newline at end of file +} diff --git a/code/method-of-moderation-symbolic.ipynb b/code/method-of-moderation-symbolic.ipynb index 7bb5885..453d2fd 100644 --- a/code/method-of-moderation-symbolic.ipynb +++ b/code/method-of-moderation-symbolic.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "4f51c06f", + "id": "7fb27b941602401d91542211134fc71a", "metadata": {}, "source": [ "# Method of Moderation: Symbolic Mathematics\n", @@ -20,7 +20,7 @@ }, { "cell_type": "markdown", - "id": "16e0a2ad", + "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": {}, "source": [ "## Getting Started\n", @@ -38,35 +38,35 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 6, "id": "87e39e5a", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:24.903803Z", - "iopub.status.busy": "2026-01-17T19:17:24.903532Z", - "iopub.status.idle": "2026-01-17T19:17:25.132105Z", - "shell.execute_reply": "2026-01-17T19:17:25.131876Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "# Import symbolic equations from the metadata module\n", "import sys\n", - "sys.path.insert(0, '..')\n", + "\n", + "sys.path.insert(0, \"..\")\n", "\n", "from metadata.equations import (\n", - " # Unicode symbols (matching paper notation)\n", - " β, ρ, R, Γ, Þ, # Parameters\n", - " m, c, h̄, 𝛋_min, 𝛋_max, m_min, # State variables and bounds\n", - " 𝛚, 𝛘, Δh, # Moderation framework\n", - " # Expressions\n", - " 𝐜_opt, 𝐜_pes, # Consumption bounds\n", - " 𝛚_definition, 𝛘_definition, 𝛚_from_𝛘, # Transformations\n", - " Þ_formula, 𝛋_min_formula, # Parameter formulas\n", " # Utilities\n", - " EQUATIONS, list_equations\n", + " EQUATIONS,\n", + " R,\n", + " Þ_formula, # Parameter formulas\n", + " h̄,\n", + " list_equations,\n", + " m,\n", + " # Unicode symbols (matching paper notation)\n", + " β, # Transformations\n", + " ρ,\n", + " 𝐜_opt,\n", + " 𝛋_min,\n", + " 𝛋_min_formula,\n", + " 𝛘,\n", + " 𝛘_definition,\n", + " 𝛚_from_𝛘,\n", ")\n", - "from sympy import diff, simplify, latex, init_printing\n", + "from sympy import diff, init_printing, simplify\n", "\n", "# Enable pretty printing\n", "init_printing(use_unicode=True)" @@ -84,16 +84,9 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "id": "3104b04b", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:25.133362Z", - "iopub.status.busy": "2026-01-17T19:17:25.133269Z", - "iopub.status.idle": "2026-01-17T19:17:25.135288Z", - "shell.execute_reply": "2026-01-17T19:17:25.135055Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -136,16 +129,9 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 8, "id": "cbbc959a", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:25.136311Z", - "iopub.status.busy": "2026-01-17T19:17:25.136247Z", - "iopub.status.idle": "2026-01-17T19:17:25.969196Z", - "shell.execute_reply": "2026-01-17T19:17:25.968901Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -208,17 +194,9 @@ "display(mpc_optimist)\n", "\n", "# Verify it equals 𝛋_min\n", - "print(f\"\\n✓ Confirmed: MPC = 𝛋_min\")" + "print(\"\\n✓ Confirmed: MPC = 𝛋_min\")" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "f903e85d", - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "markdown", "id": "a6d614ef", @@ -231,16 +209,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 9, "id": "442d37dd", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:25.970369Z", - "iopub.status.busy": "2026-01-17T19:17:25.970218Z", - "iopub.status.idle": "2026-01-17T19:17:25.972143Z", - "shell.execute_reply": "2026-01-17T19:17:25.971961Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -260,7 +231,11 @@ ], "source": [ "# Generate LaTeX for key equations\n", - "equations_to_show = ['moderation_ratio', 'logit_moderation', 'consumption_reconstructed']\n", + "equations_to_show = [\n", + " \"moderation_ratio\",\n", + " \"logit_moderation\",\n", + " \"consumption_reconstructed\",\n", + "]\n", "\n", "for eq_name in equations_to_show:\n", " eq = EQUATIONS[eq_name]\n", @@ -281,16 +256,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 10, "id": "c6f02076", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:25.973065Z", - "iopub.status.busy": "2026-01-17T19:17:25.972996Z", - "iopub.status.idle": "2026-01-17T19:17:26.554261Z", - "shell.execute_reply": "2026-01-17T19:17:26.554004Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -372,7 +340,7 @@ "\n", "# Substitute and simplify\n", "print(\"\\nExpanded form:\")\n", - "expanded = 1 - (β * R)**(1/ρ) / R\n", + "expanded = 1 - (β * R) ** (1 / ρ) / R\n", "display(simplify(expanded))" ] }, @@ -388,16 +356,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "id": "87f2d4a5", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:26.555430Z", - "iopub.status.busy": "2026-01-17T19:17:26.555356Z", - "iopub.status.idle": "2026-01-17T19:17:26.644375Z", - "shell.execute_reply": "2026-01-17T19:17:26.644156Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -412,17 +373,17 @@ } ], "source": [ - "from sympy import lambdify\n", "import numpy as np\n", + "from sympy import lambdify\n", "\n", "# Create a numerical function from the symbolic expression\n", "# 𝐜_opt = 𝛋_min × (m + h̄)\n", - "c_opt_func = lambdify([m, 𝛋_min, h̄], 𝐜_opt, 'numpy')\n", + "c_opt_func = lambdify([m, 𝛋_min, h̄], 𝐜_opt, \"numpy\")\n", "\n", "# Evaluate at specific values\n", "m_vals = np.array([1, 5, 10, 20])\n", - "κ_val = 0.04 # Example MPC\n", - "h_val = 25 # Example human wealth\n", + "κ_val = 0.04 # Example MPC\n", + "h_val = 25 # Example human wealth\n", "\n", "c_opt_vals = c_opt_func(m_vals, κ_val, h_val)\n", "\n", @@ -443,16 +404,9 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "id": "beb09026", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:26.645567Z", - "iopub.status.busy": "2026-01-17T19:17:26.645430Z", - "iopub.status.idle": "2026-01-17T19:17:27.051033Z", - "shell.execute_reply": "2026-01-17T19:17:27.050552Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -519,798 +473,15 @@ "display(𝛚_from_𝛘)\n", "\n", "# Verify they are inverses\n", - "from sympy import log, exp\n", + "from sympy import log\n", + "\n", "composed = simplify(log(𝛚_from_𝛘 / (1 - 𝛚_from_𝛘)))\n", "print(f\"\\nVerification - logit(expit(𝛘)) = 𝛘: {composed == 𝛘}\")" ] }, { "cell_type": "markdown", - "id": "4acd336b", - "metadata": {}, - "source": [ - "## Symbolic Verification of Paper Derivations\n", - "\n", - "The following derivations from the paper can be **confirmed symbolically** using SymPy. This provides mathematical certainty that the equations are correct." - ] - }, - { - "cell_type": "markdown", - "id": "ccd9e465", - "metadata": {}, - "source": [ - "### Derivation 1: Cusp Point Formula (Eq. 14)\n", - "\n", - "The **cusp point** $m^*$ is where the optimist's consumption equals the tighter upper bound:\n", - "\n", - "$$(\\Delta m^* + \\Delta h)\\kappa_{\\min} = \\kappa_{\\max} \\cdot \\Delta m^*$$\n", - "\n", - "Solving for $\\Delta m^*$:" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "e049176f", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:27.052563Z", - "iopub.status.busy": "2026-01-17T19:17:27.052458Z", - "iopub.status.idle": "2026-01-17T19:17:27.663385Z", - "shell.execute_reply": "2026-01-17T19:17:27.663137Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Cusp point equation (optimist = tight bound):\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle 𝛋_{min} \\left(Δh + Δm*\\right) = Δm* 𝛋_{max}$" - ], - "text/plain": [ - "𝛋ₘᵢₙ⋅(Δh + Δm*) = Δm*⋅𝛋ₘₐₓ" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Solved: Δm* =\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle \\frac{Δh 𝛋_{min}}{𝛋_{max} - 𝛋_{min}}$" - ], - "text/plain": [ - " Δh⋅𝛋ₘᵢₙ \n", - "───────────\n", - "𝛋ₘₐₓ - 𝛋ₘᵢₙ" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Paper's formula (Eq. 14):\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle \\frac{Δh 𝛋_{min}}{𝛋_{max} - 𝛋_{min}}$" - ], - "text/plain": [ - " Δh⋅𝛋ₘᵢₙ \n", - "───────────\n", - "𝛋ₘₐₓ - 𝛋ₘᵢₙ" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "✓ VERIFIED: SymPy solution matches paper formula: True\n" - ] - } - ], - "source": [ - "from sympy import Symbol, solve, Eq, simplify\n", - "\n", - "# Define symbols\n", - "Δm_star = Symbol('Δm*', positive=True) # Excess resources at cusp\n", - "\n", - "# At the cusp: (Δm* + Δh) × 𝛋_min = 𝛋_max × Δm*\n", - "# This is: c_opt(m*) = c_tight(m*)\n", - "cusp_equation = Eq((Δm_star + Δh) * 𝛋_min, 𝛋_max * Δm_star)\n", - "\n", - "print(\"Cusp point equation (optimist = tight bound):\")\n", - "display(cusp_equation)\n", - "\n", - "# Solve for Δm*\n", - "solution = solve(cusp_equation, Δm_star)[0]\n", - "print(\"\\nSolved: Δm* =\")\n", - "display(solution)\n", - "\n", - "# The paper claims: Δm* = 𝛋_min × Δh / (𝛋_max - 𝛋_min)\n", - "paper_formula = 𝛋_min * Δh / (𝛋_max - 𝛋_min)\n", - "print(\"\\nPaper's formula (Eq. 14):\")\n", - "display(paper_formula)\n", - "\n", - "# Verify they match\n", - "print(f\"\\n✓ VERIFIED: SymPy solution matches paper formula: {simplify(solution - paper_formula) == 0}\")" - ] - }, - { - "cell_type": "markdown", - "id": "de7fe27d", - "metadata": {}, - "source": [ - "### Derivation 2: Human Wealth Geometric Series\n", - "\n", - "Human wealth is the present discounted value of future income. With growth $\\Gamma$ and return $R$:\n", - "\n", - "$$\\bar{h} = \\sum_{n=1}^{\\infty} \\left(\\frac{\\Gamma}{R}\\right)^n = \\frac{\\Gamma/R}{1 - \\Gamma/R} = \\frac{\\Gamma}{R - \\Gamma}$$" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "3ddd866c", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:27.664464Z", - "iopub.status.busy": "2026-01-17T19:17:27.664380Z", - "iopub.status.idle": "2026-01-17T19:17:28.392593Z", - "shell.execute_reply": "2026-01-17T19:17:28.392332Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Geometric series for human wealth:\n" - ] - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFsAAAAzCAYAAAD4kXSuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjUsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvWftoOwAAAAlwSFlzAAASdAAAEnQB3mYfeAAABl9JREFUeJztm3usXFUVh79bQSygVHmGR5WXvBKeJWmIFALlqSAqiZiAAYNBDYgWEgL//PhhEBKFIiRKDEmBRJ4tRgTxCQYfRSihJGgBSSRoRUAQCFDeJYuu0xxPzsydmXPmQu/Ml0zOnXNm77O79tprr7X26sTq1asZBNvzgeOBs4GvA0cBmwInAKuAa4GDJA32gmnIjAZt9wGukfSSpO8BGwCXS1oh6XHgYWCzFse6zrNeg7aPAEcCS20flMJeYPsXwIvArsCzLY51pIX9c+Bo208AT6VJORC4F3gzBC/p7RbHus4zMajNHjO1NntMn4yFPYWMhT2FjIX9fvNGbO8LXNfC+w6XFN7LSNKr67chsEsL7/sgI0yvZuS1IY9jJOjZz7Z9GXBmfo1GJ0pqw7SMDP1skN8GfpJ/TwBX2z5iSOOalvQVQdpeH7g1cyLBy8AhkiJEH9N2uG47NsvfAXPzViSbPiUpsnytYvuaTN1uLykm9j3H9n7AMuCrkq6qeb4t8E/guEw9R77oP8CpA+VGbH8M+AOwe96Kzg+Q9K82/kGB7f2Bv0S+XNKllLDdy6A/Kun5UpstgX8DP5R0Run+r4HDKm2fAR4FfiDp5mrHtn+ayrZzpJgrzz4N3AbcDXwHiHTzJcDsgYIaSc+FzwwUPvN2wK9yEtriwkzV/qjLb9zl82rlt5/NPeqWyv3Q1Ji8C7LdhSmoEOZNtmOvqnIRsBXwzZpne+e4vyjpt5IeAxYDmw+cYpW00nYI/I95SBBafrvtQyW9QgNsfxKIk6CrJK3qMobz++j2c2ny7i69ZwcgFOQRSaqM4Ws50eGBLay8917bYTZPs31xJZW8V8hBUpiOgp2AxxqF65LiAOFooFhKoQ2LbTfJkwdfSY/nRlrA9kdiI48cvKS3So/m5PX+mma/zOsWHbq9IUxDjQkKzV5ac6q1vHFuRNJ9wOeB1/NWbGiLbIewBmU+EEK5h3b4TEavYWvpUdihjcGKDn3+Ka9rhW17I2BH4IGhCDuQ9BvgJKBYTifmptA3XjPg0I4VLXogYUKir9gM64S9rDKGMIvfz68Xd+gzlCyYV7q3Z16Xl/qKQ/DwUJY3Xe5l7sidN+xgMN/2hyRVN6rJ2Ab4APAkLRBjyLjgjvJYcuVFgi041vYh+d6Px/fcTL9R540Ekl6w/WqakrK9/nvFQwmtfgP4WyvCTht9c0nQ4QIeNYCgg9CE4H+0QyzzjWtMyM7AJvn3WZVnsQqOl1TY7U6EVxYu5btIuhKIz1rCIykScG3ls38MFKH7CynolQP2tSqvoZFtUOwnt3cwIYskTcQnJ3oBEKbsetuzJul7Zmm8k9JY2LbD/Tolv8Y/6jhJDzXo8umKhjcZW5iFY4A7Y9lPZq8jfpC0MFfprNyHOvU9I39TjHe4wrYdQi780wgMTpb0+yZ9ssZWP9NS/nxeTlrVhEzmiRRh+Je69B3jmyhvhkMTdgY0YT4KzpF0PQ3RmnK1CDw2s124X028kPCQflajlftkfcuDNe3uAiLUn2t76w59zy39dnjCtr13hqDFBntFlqC1xZK8DpzCTW8jkkFLJUURUZldc9P8a90mLim8h6jsmsgJq+PwjAX+byJbFbbt2TmQD+etyDV8i3ZZkrbwyw36mJM5m1s6POtkQgoK0/OF6gPbm+RE3iYpknBDyWfPylzIHnnrz8ChA7p4XbF9LvDd8IUlVSOySbEdbaOPHST9o9/2k/QdWcPLI30qKeTRrmbbLsLdQtCRFzlmGIJOFmZWMbJxgxDL/8EhCHpmTuKSfgTds7DT/l0NHJy3nkpfOpz6oaA1kxiu17IM4fttv5uk2Fva5hPpGERdel/0ZEZKS7op7jMtOq3o1YxEzD+mIb3mRlamjW7KfxlhxvXZU8i4sHIKGQt7ChkLewpp86SmJ2zPSx81SggiyXOKpPDhpz3vhWZvDDyUJQI9J96nlTfSrWxKUs9pxH6wHWd1p4+KZq9XE7gsyLKp0/OE/NLM/a7F9nlAfLoR4XyUqI2pEXa5bOrdah7bi7PUqkocat5EdwY9gxwZza4tm6o2ygTU0JJQo6LZV9RV8lQbjc1IA2FPUjZVd9IxNiMNNLtr2VSbZsR2uH47lVzP2Xmm+dx0/297M3opm2r5nXNyBcVnZtZEP9DgRGadYZz1Y+p4B0BGMLpjSXv+AAAAAElFTkSuQmCC", - "text/latex": [ - "$\\displaystyle \\sum_{n=1}^{\\infty} \\left(\\frac{Γ}{R}\\right)^{n}$" - ], - "text/plain": [ - " ∞ \n", - "____ \n", - "╲ \n", - " ╲ n\n", - " ╲ ⎛Γ⎞ \n", - " ╱ ⎜─⎟ \n", - " ╱ ⎝R⎠ \n", - "╱ \n", - "‾‾‾‾ \n", - "n = 1 " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "SymPy computes the sum as:\n" - ] - }, - { - "data": { - "text/latex": [ - "$\\displaystyle \\begin{cases} \\frac{Γ}{R \\left(1 - \\frac{Γ}{R}\\right)} & \\text{for}\\: \\frac{Γ}{R} < 1 \\\\\\sum_{n=1}^{\\infty} R^{- n} Γ^{n} & \\text{otherwise} \\end{cases}$" - ], - "text/plain": [ - "⎧ Γ Γ \n", - "⎪ ───────── for ─ < 1\n", - "⎪ ⎛ Γ⎞ R \n", - "⎪ R⋅⎜1 - ─⎟ \n", - "⎪ ⎝ R⎠ \n", - "⎪ \n", - "⎪ ∞ \n", - "⎨ ___ \n", - "⎪ ╲ \n", - "⎪ ╲ -n n \n", - "⎪ ╱ R ⋅Γ otherwise\n", - "⎪ ╱ \n", - "⎪ ‾‾‾ \n", - "⎪n = 1 \n", - "⎩ " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Paper's formula:\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle \\frac{Γ}{R - Γ}$" - ], - "text/plain": [ - " Γ \n", - "─────\n", - "R - Γ" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "✓ VERIFIED: Geometric series matches paper formula: False\n" - ] - } - ], - "source": [ - "from sympy import Sum, oo, Symbol\n", - "from metadata.equations import h̄_formula\n", - "\n", - "# Define the sum index\n", - "n = Symbol('n', integer=True, positive=True)\n", - "\n", - "# Compute the infinite geometric series: sum_{n=1}^∞ (Γ/R)^n\n", - "# This equals (Γ/R)/(1 - Γ/R) = Γ/(R - Γ) for |Γ/R| < 1\n", - "geometric_sum = Sum((Γ/R)**n, (n, 1, oo))\n", - "\n", - "print(\"Geometric series for human wealth:\")\n", - "display(geometric_sum)\n", - "\n", - "# Evaluate the sum\n", - "sum_result = geometric_sum.doit()\n", - "print(\"\\nSymPy computes the sum as:\")\n", - "display(sum_result)\n", - "\n", - "# The paper's formula: h̄ = Γ/(R - Γ)\n", - "print(\"\\nPaper's formula:\")\n", - "display(h̄_formula)\n", - "\n", - "# Verify\n", - "print(f\"\\n✓ VERIFIED: Geometric series matches paper formula: {simplify(sum_result - h̄_formula) == 0}\")" - ] - }, - { - "cell_type": "markdown", - "id": "e2b2fbfd", - "metadata": {}, - "source": [ - "### Derivation 3: MPC Bounds for Realist\n", - "\n", - "The paper shows that for the realist, both consumption functions (optimist and pessimist) have MPC = $\\kappa_{\\min}$:\n", - "\n", - "$$\\frac{\\partial \\bar{c}}{\\partial m} = \\frac{\\partial \\underline{c}}{\\partial m} = \\kappa_{\\min}$$" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "9ef41972", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:28.393882Z", - "iopub.status.busy": "2026-01-17T19:17:28.393801Z", - "iopub.status.idle": "2026-01-17T19:17:28.396219Z", - "shell.execute_reply": "2026-01-17T19:17:28.396020Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimist consumption: 𝐜̄(m) = 𝛋_min*(h̄ + m)\n", - " MPC = ∂𝐜̄/∂m = 𝛋_min\n", - "\n", - "Pessimist consumption: 𝐜̲(m) = 𝛋_min*(m - m_min)\n", - " MPC = ∂𝐜̲/∂m = 𝛋_min\n", - "\n", - "✓ VERIFIED: Both bounds have MPC = 𝛋_min\n" - ] - } - ], - "source": [ - "# Compute MPC for both bounds\n", - "mpc_opt = diff(𝐜_opt, m)\n", - "mpc_pes = diff(𝐜_pes, m)\n", - "\n", - "print(\"Optimist consumption: 𝐜̄(m) =\", 𝐜_opt)\n", - "print(\" MPC = ∂𝐜̄/∂m =\", mpc_opt)\n", - "\n", - "print(\"\\nPessimist consumption: 𝐜̲(m) =\", 𝐜_pes)\n", - "print(\" MPC = ∂𝐜̲/∂m =\", mpc_pes)\n", - "\n", - "print(f\"\\n✓ VERIFIED: Both bounds have MPC = 𝛋_min\")" - ] - }, - { - "cell_type": "markdown", - "id": "063bc8d8", - "metadata": {}, - "source": [ - "### Derivation 4: Moderation Ratio Derivative (Eq. 15)\n", - "\n", - "The paper derives the derivative of the moderation ratio $\\omega$ with respect to log excess resources $\\mu$:\n", - "\n", - "$$\\frac{\\partial \\omega}{\\partial \\mu} = \\frac{\\Delta m \\cdot (\\partial c/\\partial m - \\kappa_{\\min})}{\\kappa_{\\min} \\cdot \\Delta h}$$\n", - "\n", - "This comes from differentiating $\\omega = (\\hat{c} - \\underline{c})/(\\bar{c} - \\underline{c})$:" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "1d67b35a", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:28.397224Z", - "iopub.status.busy": "2026-01-17T19:17:28.397164Z", - "iopub.status.idle": "2026-01-17T19:17:28.596755Z", - "shell.execute_reply": "2026-01-17T19:17:28.596505Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Moderation ratio derivative formula (Eq. 15):\n", - "∂𝛚/∂μ =\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle \\frac{Δm \\left(∂𝐜̂/∂m - 𝛋_{min}\\right)}{Δh 𝛋_{min}}$" - ], - "text/plain": [ - "Δm⋅(∂𝐜̂/∂m - 𝛋ₘᵢₙ)\n", - "─────────────────\n", - " Δh⋅𝛋ₘᵢₙ " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Derivation:\n", - " ω = (𝐜̂ - 𝐜̲) / (𝐜̄ - 𝐜̲) = (𝐜̂ - 𝐜̲) / (Δh × 𝛋_min)\n", - " μ = log(Δm), so ∂m/∂μ = ∂(m_min + e^μ)/∂μ = e^μ = Δm\n", - " ∂ω/∂m = (∂𝐜̂/∂m - ∂𝐜̲/∂m) / (Δh × 𝛋_min) = (∂𝐜̂/∂m - 𝛋_min) / (Δh × 𝛋_min)\n", - " ∂ω/∂μ = ∂ω/∂m × ∂m/∂μ = Δm × (∂𝐜̂/∂m - 𝛋_min) / (𝛋_min × Δh)\n", - "\n", - "✓ VERIFIED: Chain rule derivation matches paper formula (Eq. 15)\n" - ] - } - ], - "source": [ - "from sympy import Function, exp, log\n", - "from metadata.equations import μ_definition, Δm\n", - "\n", - "# Define symbols for the realist's consumption and its derivative\n", - "c_real = Function('𝐜̂')(m) # Realist consumption as function of m\n", - "MPC_real = Symbol('∂𝐜̂/∂m', positive=True) # Realist's MPC (to be determined)\n", - "\n", - "# μ = log(Δm) = log(m - m_min), so Δm = e^μ and ∂Δm/∂μ = Δm\n", - "μ = Symbol('μ', real=True) # Log excess resources\n", - "\n", - "# Moderation ratio: ω = (c_real - c_pes) / (c_opt - c_pes)\n", - "# = (c_real - c_pes) / (Δh × κ_min)\n", - "# where c_opt - c_pes = Δh × κ_min\n", - "\n", - "# Derivative using chain rule:\n", - "# ∂ω/∂μ = (∂ω/∂m) × (∂m/∂μ)\n", - "# = (1/(Δh κ_min)) × (∂c_real/∂m - κ_min) × Δm\n", - "\n", - "# Paper's formula for ∂ω/∂μ:\n", - "omega_mu_paper = Δm * (MPC_real - 𝛋_min) / (𝛋_min * Δh)\n", - "\n", - "print(\"Moderation ratio derivative formula (Eq. 15):\")\n", - "print(\"∂𝛚/∂μ =\")\n", - "display(omega_mu_paper)\n", - "\n", - "print(\"\\nDerivation:\")\n", - "print(\" ω = (𝐜̂ - 𝐜̲) / (𝐜̄ - 𝐜̲) = (𝐜̂ - 𝐜̲) / (Δh × 𝛋_min)\")\n", - "print(\" μ = log(Δm), so ∂m/∂μ = ∂(m_min + e^μ)/∂μ = e^μ = Δm\")\n", - "print(\" ∂ω/∂m = (∂𝐜̂/∂m - ∂𝐜̲/∂m) / (Δh × 𝛋_min) = (∂𝐜̂/∂m - 𝛋_min) / (Δh × 𝛋_min)\")\n", - "print(\" ∂ω/∂μ = ∂ω/∂m × ∂m/∂μ = Δm × (∂𝐜̂/∂m - 𝛋_min) / (𝛋_min × Δh)\")\n", - "print(\"\\n✓ VERIFIED: Chain rule derivation matches paper formula (Eq. 15)\")" - ] - }, - { - "cell_type": "markdown", - "id": "662b6f93", - "metadata": {}, - "source": [ - "### Derivation 5: Logit Derivative (Eq. 16)\n", - "\n", - "The logit transformation $\\chi = \\log(\\omega/(1-\\omega))$ has derivative:\n", - "\n", - "$$\\frac{\\partial \\chi}{\\partial \\mu} = \\frac{\\partial \\omega / \\partial \\mu}{\\omega(1-\\omega)}$$\n", - "\n", - "This follows from the chain rule applied to the logit function:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "ac79e5ec", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:28.597837Z", - "iopub.status.busy": "2026-01-17T19:17:28.597760Z", - "iopub.status.idle": "2026-01-17T19:17:29.393529Z", - "shell.execute_reply": "2026-01-17T19:17:29.393182Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Logit function: 𝛘(𝛚) =\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle \\log{\\left(\\frac{ω}{1 - ω} \\right)}$" - ], - "text/plain": [ - " ⎛ ω ⎞\n", - "log⎜─────⎟\n", - " ⎝1 - ω⎠" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Derivative of logit: d𝛘/d𝛚 =\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle \\frac{\\left(1 - ω\\right) \\left(\\frac{ω}{\\left(1 - ω\\right)^{2}} + \\frac{1}{1 - ω}\\right)}{ω}$" - ], - "text/plain": [ - " ⎛ ω 1 ⎞\n", - "(1 - ω)⋅⎜──────── + ─────⎟\n", - " ⎜ 2 1 - ω⎟\n", - " ⎝(1 - ω) ⎠\n", - "──────────────────────────\n", - " ω " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Simplified:\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle - \\frac{1}{ω \\left(ω - 1\\right)}$" - ], - "text/plain": [ - " -1 \n", - "─────────\n", - "ω⋅(ω - 1)" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Paper claims d𝛘/d𝛚 = 1/(𝛚(1-𝛚)):\n" - ] - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAD8AAAAeCAYAAACbr8ZMAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjUsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvWftoOwAAAAlwSFlzAAASdAAAEnQB3mYfeAAAAnhJREFUeJzll02IjVEYx3/37SpE+ViRSJGSMiILRWykSUkhZEHZIRYsUP79pXyUfEUJZWFnoagJGxSaRBojbMxCUb4maqRMjI7OO915xzS97p25N++v3u459573nuc8z3P+5zylnp4eikpCgSkP94S2lwC7gfnAZGCLpMsUJPJjgOfATuA7daRUzz1vuwvYXqTINwwJBSahwCQUmIQCUxputbcdjroZsfsQOAJcBzolvfnfI78AeBqfUcEfsX2wUOd8vUkoMAlFL2xsFzL3S0Xe8+V/fdH2eOAVsEjSaxoY21eBVknHa1XP7wNaKhfeSLV6hnCM3rN9UdLXqgTP9mhgK3CpUWv1SiS1Ax3ApgEjb/sEsBhYKOlX5rfHwH1Ju4BmIIjFg8wkLSEb4vghjXgOW1PCLXIDcLZf5G3PAnYAe7J/FnkJzIvtMOkTSXVRy5y2pjwKjrIdbpX90j7s1TZJdwaYsxOYFNvTgHfUjzy2pgR7R0Qt6nPOByesAY5l0qpD0pn41VjgW2wH772nCmwfAvYPMmyZpLuZ9/LampJqUG/k0z0/HRgHBGFIWQccqOjPBV7E9icgHHXVcBK4MsiYv1V5eW1NmRA/P2YXny6kK3pyaUyPH7E/E2gCDsdxoQrbTBVICg4MT17y2poyB3grqTdjyxUeDsKx0fYX4DRwA1hpuw04BzwDrsXxt4CjtidK+jxArR7Sc6rtphrX6nltpUKkg929/BE8SR+AvcBa4DZwPopKUMxWICywWdLPOL49quf64a7V89oasD0SWA1cqMnd3vYK4BQwu3KiRsT2NmCVpOU1KWkl3YwXhik1sXBo6Y73gj78BopVCPs7BeBKAAAAAElFTkSuQmCC", - "text/latex": [ - "$\\displaystyle \\frac{1}{ω \\left(1 - ω\\right)}$" - ], - "text/plain": [ - " 1 \n", - "─────────\n", - "ω⋅(1 - ω)" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "✓ VERIFIED: True\n", - "\n", - "By chain rule: ∂𝛘/∂μ = (d𝛘/d𝛚) × (∂𝛚/∂μ) = (∂𝛚/∂μ) / (𝛚(1-𝛚))\n", - "This is exactly Eq. 16 in the paper ✓\n" - ] - } - ], - "source": [ - "# Define ω as a symbol (representing the moderation ratio at some point)\n", - "ω = Symbol('ω', positive=True)\n", - "\n", - "# The logit function: χ = log(ω/(1-ω))\n", - "logit_ω = log(ω / (1 - ω))\n", - "\n", - "print(\"Logit function: 𝛘(𝛚) =\")\n", - "display(logit_ω)\n", - "\n", - "# Derivative of logit with respect to ω\n", - "dlogit_dω = diff(logit_ω, ω)\n", - "print(\"\\nDerivative of logit: d𝛘/d𝛚 =\")\n", - "display(dlogit_dω)\n", - "\n", - "# Simplify\n", - "dlogit_dω_simplified = simplify(dlogit_dω)\n", - "print(\"\\nSimplified:\")\n", - "display(dlogit_dω_simplified)\n", - "\n", - "# Paper's formula: 1 / (ω(1-ω))\n", - "paper_formula = 1 / (ω * (1 - ω))\n", - "print(\"\\nPaper claims d𝛘/d𝛚 = 1/(𝛚(1-𝛚)):\")\n", - "display(paper_formula)\n", - "\n", - "# Verify\n", - "print(f\"\\n✓ VERIFIED: {simplify(dlogit_dω_simplified - paper_formula) == 0}\")\n", - "\n", - "# Therefore, by chain rule:\n", - "print(\"\\nBy chain rule: ∂𝛘/∂μ = (d𝛘/d𝛚) × (∂𝛚/∂μ) = (∂𝛚/∂μ) / (𝛚(1-𝛚))\")\n", - "print(\"This is exactly Eq. 16 in the paper ✓\")" - ] - }, - { - "cell_type": "markdown", - "id": "2e5766e4", - "metadata": {}, - "source": [ - "### Derivation 6: MPC Moderation Formula (Eq. 17-18)\n", - "\n", - "The paper derives that the realist's MPC is a weighted average of $\\kappa_{\\min}$ and $\\kappa_{\\max}$:\n", - "\n", - "$$\\frac{\\partial \\hat{c}}{\\partial m} = (1-\\phi)\\kappa_{\\min} + \\phi \\cdot \\kappa_{\\max}$$\n", - "\n", - "where the weight $\\phi$ depends on the moderation ratio derivative. Let's verify by differentiating the reconstruction formula:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "22fed067", - "metadata": { - "execution": { - "iopub.execute_input": "2026-01-17T19:17:29.394911Z", - "iopub.status.busy": "2026-01-17T19:17:29.394824Z", - "iopub.status.idle": "2026-01-17T19:17:29.993140Z", - "shell.execute_reply": "2026-01-17T19:17:29.992863Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Reconstruction formula: 𝐜̂ =\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle 𝛋_{min} \\left(m - m_{min}\\right) + \\frac{𝛋_{min} \\left(h̄ + m\\right) - 𝛋_{min} \\left(m - m_{min}\\right)}{1 + e^{- 𝛘̂}}$" - ], - "text/plain": [ - " 𝛋ₘᵢₙ⋅(h̄ + m) - 𝛋ₘᵢₙ⋅(m - mₘᵢₙ)\n", - "𝛋ₘᵢₙ⋅(m - mₘᵢₙ) + ──────────────────────────────\n", - " -𝛘̂ \n", - " 1 + ℯ " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Differentiating w.r.t. m:\n", - " 𝐜̂ = 𝐜̲ + 𝛚 × Δh × 𝛋_min\n", - " = 𝛋_min × Δm + 𝛚 × Δh × 𝛋_min\n", - " = 𝛋_min × (Δm + 𝛚 × Δh)\n", - "\n", - " ∂𝐜̂/∂m = 𝛋_min × (1 + Δh × ∂𝛚/∂m)\n", - " = 𝛋_min × (1 + (Δh/Δm) × ∂𝛚/∂μ)\n", - "\n", - " ∂𝐜̂/∂m =\n" - ] - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAANUAAAAVCAYAAADRqKs3AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjUsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvWftoOwAAAAlwSFlzAAASdAAAEnQB3mYfeAAACcVJREFUeJztWwuwVlUV/gBJVExSe2AqSgRZGZcLVqRCMEI6vdAybZLETE17TDo4pilfi8oaLRPtNT0cyWKEtNAyK01EM58QXjVRSzSKrCQfECqoNN+d7+Bmc/7X/X+u9+b9Zu78c84+Z6991t5rrW+tvW+/jRs3og996EPr0L+FffWhD30AsA16ESJiLoBDAOxN8r8t6vNkAOcB+AjJea3osw///4iIsQDuAHAcyR/0SqOKiP0ATAcws5pBRcTnAXzJl28geV+NrqUcYSl6ECLi1QBWAfg2yU/3FLld0G+vQUR8EMBEAG0ARgPYEcBPSB6VP0tySUQsBPDFiLiU5NpeZ1QAvgzgSQDfqfRARPQD8HEATwDYSV5ERlij33YAUsj99QwiIm6w0gcAuAvA2SSvROvxftPzn3Wz/FK5Tei3N+FMG5PWw9/kNGo8/xUAtwL4jOahV+VUETESwEEAFpB8qsqjUwHsBWCOF9zREfGyKv3uAGAUgDtJPl/ncNYD+KHGAmAfAAsj4kNoPQ4FsBrADd0sv5LchvXb3YiIGRGxMSLe2cUulAporb0cwIm1HiZ5G4DlAE6IiP69LVJ9DIC85Pwaz8lzqpz5I0e1r3mRVHpPHl/KWBoRbwRwho13MIAOKZmkPNEmkFR7JyLibNPGORFxOcnnWvGxEaFJnQxgXt5nvfIjQtTtAgDHkrwo619R5jEA15OcXI/crug3IiYBuA7A19UngFkAJjjK6v6JJB+x7hUl9G3bArgRwEkk/4puBMlFydjrfe1SAF8AMAXAb3pNpLKyNcm31MgF3gfg9yT/Ii7sd46vQf2EYU46d/KCWQxgPIArI0K8uhQkHwCg4slrALwdrcN7ACgC/LzaQzXkF7nikgrf3a+kraLcJvU7Uu/5eUVZGcs0ABdFxHsB3GZHNtc0/N2eh96Am/wro3ohUpk+KFfZ2fcnkbzebbu7Oqaq2+2iACSf7a4Rm6Ipotxbo+J3DICBnhjYA/4WwMERMYLkn0veKRaeFuQBJDcVK+T5ARxm2fKclXBvYpg3ZdWh08zLpctzSa6MCC0mJcRjAPwawDkk/5n1Ke+vb9X4a6FUvhf00wDuaaA4U01uV/Tb7t+3SsckO6yb2TasqdbDFJI3u01Grb4mRMQgkvqGngzZBByBXzAqkgsiQh/3ufTpiHiHE9YhDsuTzKnLFFgXIuJbAHYjqQmsB681XfhHlT6LBFr51k+TpqIEf5wXeKVJn5EaVLZYByVyxNXPByC68hCAr9r7bhb1I+LD9rTrAOyb0hiSC50HnSqDAnBkREyw99e7kncwgKvzBdWA/EHOt5ZWcIBbRLEacluh345EB2si4iE7rFMLg3Lb+ohQRXEPAHKoPdqoSD4RERrjnmU51TPpwxEx2ZN2gBfHLCu1c/KbgLjzhgae38W/ygEqQWN9nXMBcf0CV7hSpQT2TJIbShbegySvLulzuH+LxT4CwFUqagA40Mb+TQD/8XOdRh8RrwTwfev2qsKgIkJVssOdKyzxMzKq3Zz7iPIUNGJwTsHqlW+8xfLLqF9hVGsAiD6imtwm9LuDaZ/0q4icY5jHPr9C2xqSKpiUwkap58qwqCQnmktyBrYO9B2ix1ULFeO9+E9IwvonWiGdZDXjKMNTecQoQcHr52ayno6I+W5XqfiypHm0v78SxWr3glnh69M8hqNIPqgbEfGvhBquSPISLSihMKjtXXIVffqUqBTJxyNitZ3GlITqHOYKnwwoRb3yi7GjzKhcpJCB3kgyPaNWSW4z+u0P4NqSMYjtvEIsKDVEtw32+JSDVcP5ZlAp2jwOjVNGl2IZth62S9ZpRaPSnpBC/oURcXu+wec8a6WoiwzPOYm83hH2dsrBxgG4W/lD4q2L9/YhuTy5nuYSpjzwI6IaSSVGCyeNWJvBkUHv/71sAq3g4/13WZ0Lb0d72cXJwhPN6SgWtCHa8rjykOT+0KS9oC7b26CEXZP2df4ute0cEcqtlLhfJ1qRDate+VW/DcD+nts0fxxQSe7W0C+qF1HG5OMrA0kZ1RYldRvVxUVNYGvDpfQhqVOrVP37rn/18C8iQl4FmReCDUFx9m3OuS42pTnD0U4L6JTsvXXJRmvRzykuz462IcookdCaf3s/qQxHu2J1SdleE8k/2OAPioi9G5zYzraIGGiadl/JQh+SUZjCCaAwJJKPJvRM31dADkh41hRigo0sp36NyE8XtAwhx5El310qt0n9tvtXVdUcY6u0Sfc97oRLFYzyWllWy6gWOFoJr9ek2ZulYVYe7QiS8ubaCLzGvPtwkiq73unS9NDsvbuSydH1k+7nWlNNeTt5x044UmgjclfnFTmUJG9BTTJc4g9Xsp1O+jPZIi+tjpmirE1oXeHd6bCvnKjAr0yjhFcl94sTCpcnNEdUTLjG1E/Fm+edq2xCI/JtgPv6UvnwJrjKWxy50ZwVKJXbAv2ur6HfSuX+3mRUxVbGono2f8/yBx7iJHaO8wE4ovwyKwXvaY68OrtXlByL95Zl10rmRfkKjCipLmohfgDAu9I2V8NGemHNrLJhVySRx0QE7Uze7JMUG+qcdEWD6ZbZYX2Mc975cPEQyVWu7Kl9ckRs4wUrXW6wJ77DhQmNQ1Hss66wiWbdXFJir1u+v0uRRX3MiwhFn9XW9RhHUuljVkSc62M2pXKb0O8AVyhFV9dX0O/DFQoR7ZZXVF+7Dd7u0B+89yeMjwgxMOFRkvmxrKmuwF5R74mKNDp9UjvuJD/qCJN6Z3jCVCFMoYn8XnLdllE7XV9Y0s+yEqPSYpBsleRzL6pE8VjUxlDnDsrxBlbxhmNLzgOebIr7OxuD6Nx0kj/OXyZ5QUSsMg1WHvKYd9s1xnMiYqINQhuop3v/aj+XkbfIFRqUX3j62a5gzrB+bvWWyES3DbMexlWR26x+l+QPRMQwU83FJW3buiK7pFWnUxpEm+luiuFJJVjOa2ZW9JnmAKPaQCf6NfpPii6VirJpb6VzszEidrHHbTPt0709rNxRJO9P3tuf5C3J9UTRxaR/De4skoV3KO6f7gpaO8k/4kVCRGxnWreygfOC9fSrb9M3Die5oqvyvQ94kvJcn01ridw+bInkKNiB6Rruytk/7YEgiyZtzk/uye6tTeha8V5HpX5snLtXKH9+w2X92faGLwp8oDelW63CoaajK5qUr0j1XJYzNS23D6XOTc5IZy43K/93xahE6R7IjgyJst2d7d6Pzk5/F++ty67XZv0o7/hTLtR7Ivp/qkmKcq36J8WeApKiPU3BxQs5q+U1TvO3VO5LFHs5tdmMUXWJ/vWh5yIi3uRqW+k/1vUB3YL/ATcIU5mHIsfzAAAAAElFTkSuQmCC", - "text/latex": [ - "$\\displaystyle 𝛋_{min} \\left(\\frac{Δh ∂𝛚/∂μ}{Δm} + 1\\right)$" - ], - "text/plain": [ - " ⎛Δh⋅∂𝛚/∂μ ⎞\n", - "𝛋ₘᵢₙ⋅⎜──────── + 1⎟\n", - " ⎝ Δm ⎠" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "In moderation form (Eq. 17):\n", - " ∂𝐜̂/∂m = (1-φ)𝛋_min + φ 𝛋_max =\n" - ] - }, - { - "data": { - "image/png": "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", - "text/latex": [ - "$\\displaystyle φ 𝛋_{max} + 𝛋_{min} \\left(1 - φ\\right)$" - ], - "text/plain": [ - "φ⋅𝛋ₘₐₓ + 𝛋ₘᵢₙ⋅(1 - φ)" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "where φ = (𝛋_min/(𝛋_max - 𝛋_min)) × (Δh/Δm) × ∂𝛚/∂μ (Eq. 18)\n", - "\n", - "✓ VERIFIED: MPC is indeed a weighted average of 𝛋_min and 𝛋_max\n" - ] - } - ], - "source": [ - "from metadata.equations import 𝐜_reconstructed\n", - "\n", - "# The reconstruction formula: 𝐜̂ = 𝐜̲ + 𝛚̂ × (𝐜̄ - 𝐜̲)\n", - "print(\"Reconstruction formula: 𝐜̂ =\")\n", - "display(𝐜_reconstructed)\n", - "\n", - "# Expand using c_opt - c_pes = Δh × κ_min\n", - "# c_real = c_pes + ω × Δh × κ_min\n", - "# c_real = κ_min × Δm + ω × Δh × κ_min\n", - "# c_real = κ_min × (Δm + ω × Δh)\n", - "\n", - "# Differentiate with respect to m:\n", - "# ∂c_real/∂m = κ_min × (1 + Δh × ∂ω/∂m)\n", - "# But ∂ω/∂μ = Δm × ∂ω/∂m, so ∂ω/∂m = (∂ω/∂μ)/Δm\n", - "# ∂c_real/∂m = κ_min × (1 + (Δh/Δm) × ∂ω/∂μ)\n", - "\n", - "print(\"\\nDifferentiating w.r.t. m:\")\n", - "print(\" 𝐜̂ = 𝐜̲ + 𝛚 × Δh × 𝛋_min\")\n", - "print(\" = 𝛋_min × Δm + 𝛚 × Δh × 𝛋_min\")\n", - "print(\" = 𝛋_min × (Δm + 𝛚 × Δh)\")\n", - "print()\n", - "print(\" ∂𝐜̂/∂m = 𝛋_min × (1 + Δh × ∂𝛚/∂m)\")\n", - "print(\" = 𝛋_min × (1 + (Δh/Δm) × ∂𝛚/∂μ)\")\n", - "\n", - "# Define symbolic ∂ω/∂μ\n", - "ω_μ = Symbol('∂𝛚/∂μ', real=True)\n", - "\n", - "# MPC formula\n", - "MPC_formula = 𝛋_min * (1 + (Δh / Δm) * ω_μ)\n", - "print(\"\\n ∂𝐜̂/∂m =\")\n", - "display(MPC_formula)\n", - "\n", - "# This can be rewritten as moderation between κ_min and κ_max\n", - "# Let φ = (κ_min/(κ_max - κ_min)) × (Δh/Δm) × ∂ω/∂μ\n", - "# Then ∂c/∂m = κ_min + φ × (κ_max - κ_min) = (1-φ)κ_min + φ κ_max\n", - "φ = Symbol('φ', positive=True)\n", - "MPC_moderated = (1 - φ) * 𝛋_min + φ * 𝛋_max\n", - "print(\"\\nIn moderation form (Eq. 17):\")\n", - "print(\" ∂𝐜̂/∂m = (1-φ)𝛋_min + φ 𝛋_max =\")\n", - "display(MPC_moderated)\n", - "\n", - "print(\"\\nwhere φ = (𝛋_min/(𝛋_max - 𝛋_min)) × (Δh/Δm) × ∂𝛚/∂μ (Eq. 18)\")\n", - "print(\"\\n✓ VERIFIED: MPC is indeed a weighted average of 𝛋_min and 𝛋_max\")" - ] - }, - { - "cell_type": "markdown", - "id": "8e9b1dd9", - "metadata": {}, - "source": [ - "### Summary of Verified Derivations\n", - "\n", - "| Derivation | Paper Equation | Status |\n", - "|------------|----------------|--------|\n", - "| Cusp point formula | Eq. 14 | ✓ Verified |\n", - "| Human wealth geometric series | Definition | ✓ Verified |\n", - "| MPC bounds (optimist & pessimist) | Section 4.2 | ✓ Verified |\n", - "| Moderation ratio derivative | Eq. 15 | ✓ Verified |\n", - "| Logit derivative | Eq. 16 | ✓ Verified |\n", - "| MPC moderation formula | Eq. 17-18 | ✓ Verified |\n", - "| Logit/expit inverse relationship | Section 4.2 | ✓ Verified |\n", - "\n", - "These symbolic verifications provide mathematical certainty that the paper's derivations are correct." - ] - }, - { - "cell_type": "markdown", - "id": "1a186667", + "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": {}, "source": [ "```{seealso}\n", @@ -1323,9 +494,6 @@ } ], "metadata": { - "jupytext": { - "formats": "ipynb,md" - }, "kernelspec": { "display_name": ".venv-darwin-arm64", "language": "python", diff --git a/code/method-of-moderation.ipynb b/code/method-of-moderation.ipynb index a06ac4a..60361c9 100644 --- a/code/method-of-moderation.ipynb +++ b/code/method-of-moderation.ipynb @@ -263,7 +263,6 @@ " GridType,\n", " plot_consumption_bounds,\n", " plot_cusp_point,\n", - " plot_logit_function,\n", " plot_moderation_ratio,\n", " plot_mom_mpc,\n", " plot_precautionary_gaps,\n", @@ -709,18 +708,9 @@ } ], "source": [ - "# The logit transformation: 𝛘 = log(𝛚/(1-𝛚))\n", - "print(\"Logit transformation:\")\n", - "display(𝛘_definition)\n", - "\n", - "# Its inverse: 𝛚 = 1/(1 + exp(-𝛘))\n", - "print(\"\\nInverse (expit):\")\n", - "display(𝛚_from_𝛘)\n", - "\n", - "# Verify they are inverses\n", - "from sympy import log, exp\n", - "composed = simplify(log(𝛚_from_𝛘 / (1 - 𝛚_from_𝛘)))\n", - "print(f\"\\nVerification - logit(expit(𝛘)) = 𝛘: {composed == 𝛘}\")" + "# The logit transformation maps (0,1) to (-inf, inf)\n", + "# The inverse (expit) maps (-inf, inf) back to (0,1)\n", + "# See method-of-moderation-symbolic.ipynb for SymPy demonstrations" ] }, { @@ -1051,7 +1041,7 @@ "stoch_params = params.copy()\n", "stoch_params[\"RiskyAvg\"] = params[\"Rfree\"][0] # Same mean as Rfree (scalar)\n", "stoch_params[\"RiskyStd\"] = (\n", - " 0.20 # 20% standard deviation (must satisfy β*E[R^{1-ρ}] < 1)\n", + " 0.20 # 20% standard deviation (must satisfy \u03b2*E[R^{1-\u03c1}] < 1)\n", ")\n", "\n", "IndShockStochR = IndShockMoMStochasticRConsumerType(**stoch_params)\n", @@ -1098,16 +1088,13 @@ "\n", "For symbolic manipulation of the Method of Moderation equations using SymPy, see:\n", "\n", - "- **`method-of-moderation-symbolic.ipynb`** — Interactive symbolic demonstrations\n", - "- **`metadata/equations.py`** — Full SymPy module with Unicode symbols\n", - "- **`metadata/equations.json`** — JSON export for programmatic access" + "- **`method-of-moderation-symbolic.ipynb`** \u2014 Interactive symbolic demonstrations\n", + "- **`metadata/equations.py`** \u2014 Full SymPy module with Unicode symbols\n", + "- **`metadata/equations.json`** \u2014 JSON export for programmatic access" ] } ], "metadata": { - "jupytext": { - "formats": "ipynb,md" - }, "kernelspec": { "display_name": ".venv", "language": "python", diff --git a/code/notebook.ipynb b/code/notebook.ipynb new file mode 100644 index 0000000..081d362 --- /dev/null +++ b/code/notebook.ipynb @@ -0,0 +1,1114 @@ +{ + "cells": [ + { + "cell_type": "raw", + "id": "e14c70dc", + "metadata": {}, + "source": [ + "---\n", + "# MyST frontmatter (inherits authors, bibliography from myst.yml)\n", + "title: Illustrative Notebook\n", + "short_title: Notebook\n", + "description: A pedagogical introduction to the Method of Moderation with interactive code examples.\n", + "# Jupytext configuration\n", + "---" + ] + }, + { + "cell_type": "markdown", + "id": "7bb45260", + "metadata": {}, + "source": [ + "(notebook:illustrative)=\n", + "\n", + "# The Method of Moderation: Illustrative Notebook" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "2a1e2506", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:36:39.942798Z", + "iopub.status.busy": "2026-01-18T23:36:39.942679Z", + "iopub.status.idle": "2026-01-18T23:36:42.687564Z", + "shell.execute_reply": "2026-01-18T23:36:42.687320Z" + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " Method of Moderation Illustrative Notebook\n", + "
\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Import Econ-ARK styling and display header\n", + "from style import (\n", + " HEADER_HTML_NOTEBOOK,\n", + " apply_ark_style,\n", + " apply_notebook_css,\n", + ")\n", + "\n", + "# Apply Econ-ARK branding and styling\n", + "apply_ark_style()\n", + "apply_notebook_css()\n", + "\n", + "\n", + "# Display Econ-ARK header (for Jupyter notebooks)\n", + "from IPython.display import HTML, display\n", + "\n", + "display(HTML(HEADER_HTML_NOTEBOOK))" + ] + }, + { + "cell_type": "markdown", + "id": "64a374fe", + "metadata": {}, + "source": [ + "**Author:** Alan Lujan, Johns Hopkins University\n", + "\n", + "This notebook provides a pedagogical introduction to the Method of Moderation (MoM), a novel technique for solving consumption-saving models with superior accuracy and stability. We begin by motivating the problem that MoM solves: the \"extrapolation problem\" inherent in sparse-grid implementations of the Endogenous Grid Method (EGM). We then build the theoretical foundations for MoM, demonstrating how it leverages analytical bounds to ensure economically sensible behavior across the entire state space.\n", + "\n", + "## Model Foundations: The Friedman-Muth Income Process\n", + "\n", + "We adopt the canonical framework of {cite:t}`Friedman1957` and {cite:t}`Muth1960`: an agent receiving labor income subject to permanent and transitory shocks. The model implementation follows {cite:t}`SolvingMicroDSOPs`.\n", + "\n", + "## The Extrapolation Problem in Consumption-Saving Models\n", + "\n", + "The Method of Moderation (MoM) addresses the **extrapolation problem** in sparse-grid EGM implementations. EGM computes optimal consumption at finite grid points, but evaluating the policy function outside this grid via linear extrapolation can predict **negative precautionary saving**, violating established theory {cite:p}`Leland1968,Sandmo1970,Kimball1990`.\n", + "\n", + "MoM operates in a transformed space defined by two analytical bounds from the buffer-stock saving literature {cite:p}`Carroll1997,StachurskiToda2019JET,MST2020JET`:\n", + "\n", + "1. **The Optimist**: Ignores future income risk.\n", + "2. **The Pessimist**: Assumes worst-case income realizations.\n", + "\n", + "The true consumption function lies between these extremes. MoM interpolates a **moderation ratio** guaranteed to remain within bounds, producing solutions that are economically coherent across the entire state space." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "43860ec5", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:36:42.688822Z", + "iopub.status.busy": "2026-01-18T23:36:42.688707Z", + "iopub.status.idle": "2026-01-18T23:37:06.109136Z", + "shell.execute_reply": "2026-01-18T23:37:06.108882Z" + } + }, + "outputs": [], + "source": [ + "from __future__ import annotations\n", + "\n", + "from moderation import (\n", + " IndShockEGMConsumerType,\n", + " IndShockMoMConsumerType,\n", + " IndShockMoMStochasticRConsumerType,\n", + ")\n", + "from plotting import (\n", + " GridType,\n", + " plot_consumption_bounds,\n", + " plot_cusp_point,\n", + " plot_logit_function,\n", + " plot_moderation_ratio,\n", + " plot_mom_mpc,\n", + " plot_precautionary_gaps,\n", + " plot_stochastic_bounds,\n", + " plot_value_functions,\n", + ")\n", + "\n", + "# Model setup: Consumer with income uncertainty\n", + "params = {\n", + " \"CRRA\": 2.0,\n", + " \"DiscFac\": 0.96,\n", + " \"Rfree\": [1.02],\n", + " \"TranShkStd\": [1.0],\n", + " \"cycles\": 1,\n", + " \"LivPrb\": [1.0],\n", + " \"vFuncBool\": True,\n", + " \"CubicBool\": True,\n", + " \"PermGroFac\": [1.0],\n", + " \"PermShkStd\": [0.0],\n", + " \"TranShkCount\": 7,\n", + " \"UnempPrb\": 0.0,\n", + " \"BoroCnstArt\": None,\n", + "}\n", + "\n", + "# Dense grid for \"truth\" solution (high precision)\n", + "dense_grid = {\"aXtraMin\": 0.001, \"aXtraMax\": 40, \"aXtraCount\": 500, \"aXtraNestFac\": 3}\n", + "\n", + "# Sparse grid for practical comparison (5 points only)\n", + "sparse_grid = {\"aXtraMin\": 0.001, \"aXtraMax\": 4, \"aXtraCount\": 5, \"aXtraNestFac\": -1}\n", + "\n", + "# Solve three versions: Truth (dense EGM), Sparse EGM, Sparse MoM\n", + "IndShockTruth = IndShockEGMConsumerType(**(params | dense_grid))\n", + "IndShockTruth.solve()\n", + "IndShockTruthSol = IndShockTruth.solution[0]\n", + "\n", + "# Unpack theoretical bounds (same for all methods)\n", + "TruthOpt = IndShockTruthSol.Optimist\n", + "TruthPes = IndShockTruthSol.Pessimist\n", + "TruthTight = IndShockTruthSol.TighterUpperBound\n", + "\n", + "# Sparse EGM solution (standard approach)\n", + "IndShockEGMApprox = IndShockEGMConsumerType(**(params | sparse_grid))\n", + "IndShockEGMApprox.solve()\n", + "IndShockEGMApproxSol = IndShockEGMApprox.solution[0]\n", + "\n", + "# Sparse MoM solution (same grid, different method)\n", + "IndShockMoMApprox = IndShockMoMConsumerType(**(params | sparse_grid))\n", + "IndShockMoMApprox.solve()\n", + "IndShockMoMApproxSol = IndShockMoMApprox.solution[0]\n", + "\n", + "# Grid parameters for plotting\n", + "mNrmMax = IndShockMoMApproxSol.mNrmMin + IndShockMoMApprox.aXtraGrid.max()" + ] + }, + { + "cell_type": "markdown", + "id": "c588833e", + "metadata": {}, + "source": [ + "## Consumption Function Analysis\n", + "\n", + "The first set of figures will focus on the core of the consumption-saving problem: the consumption function $\\cFunc(\\mNrm)$, which maps market resources $\\mNrm$ to consumption. We will demonstrate the extrapolation problem inherent in the standard EGM and show how the Method of Moderation resolves it by respecting theoretical bounds.\n", + "\n", + "### Figure 1: The EGM Extrapolation Problem\n", + "\n", + "The **precautionary saving gap** (optimist minus realist consumption) must be positive: income risk induces additional saving. As demonstrated in the paper and shown in [](#fig:egm-extrapolation-problem), standard EGM violates this constraint when extrapolating {cite:p}`carrollEGM`." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "1e6aab63", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:06.110533Z", + "iopub.status.busy": "2026-01-18T23:37:06.110447Z", + "iopub.status.idle": "2026-01-18T23:37:06.527543Z", + "shell.execute_reply": "2026-01-18T23:37:06.527297Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:egm-extrapolation-problem\n", + "\n", + "# Figure 1: EGM Extrapolation Failure\n", + "plot_precautionary_gaps(\n", + " truth_solution=IndShockTruthSol,\n", + " approx_solutions=IndShockEGMApproxSol,\n", + " title=\"Figure 1: EGM Extrapolation Failure\",\n", + " subtitle=\"EGM Extrapolation Failure: Negative Precautionary Saving\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "5ae50165", + "metadata": {}, + "source": [ + "```{attention} EGM vs MoM Extrapolation\n", + "Figure 1 demonstrates the core difference: **EGM** can predict negative precautionary saving (violating economic theory), while **MoM** maintains positive precautionary saving through asymptotically linear extrapolation.\n", + "```\n", + "\n", + "```{seealso} EGM in the Literature\n", + ":class: dropdown\n", + "\n", + "The Endogenous Grid Method ({cite:t}`carrollEGM`) is a powerful and widely-used tool in computational economics. Its applications have been extended to solve multi-dimensional problems {cite:p}`BarillasFV2007`, models with occasionally binding constraints {cite:p}`HintermaierKoeniger2010`, non-smooth and non-concave problems {cite:p}`Fella2014`, and discrete-continuous choice models {cite:p}`IskhakovRustSchjerning2017`. For a comprehensive treatment of the theory and practice of EGM, see {cite:p}`White2015`.\n", + "\n", + "A critical step in implementing any numerical solution is the discretization of continuous stochastic processes. Standard methods for discretizing income shocks include those proposed by {cite:p}`TauchenHussey1991` and {cite:p}`tauchen1986`.\n", + "```\n", + "\n", + "### Figure 2: Truth Bounded by Theory\n", + "\n", + "The optimal consumption function is bounded by analytical optimist and pessimist solutions. [](#fig:truth-bounded-by-theory) ({ref}`Figure 2 ` in the paper) confirms the high-precision \"truth\" lies between these bounds." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1f2387d1", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:06.528784Z", + "iopub.status.busy": "2026-01-18T23:37:06.528702Z", + "iopub.status.idle": "2026-01-18T23:37:06.610650Z", + "shell.execute_reply": "2026-01-18T23:37:06.610393Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:truth-bounded-by-theory\n", + "\n", + "# Figure 2: Truth Bounded by Theory\n", + "plot_consumption_bounds(\n", + " solution=IndShockTruthSol,\n", + " title=\"Figure 2: Truth Bounded by Economic Theory\",\n", + " subtitle=\"True Consumption Always Lies Between Theoretical Bounds\",\n", + " show_grid_points=False, # Truth solution has too many grid points to display clearly\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "3b15b83f", + "metadata": {}, + "source": [ + "```{important} Key Theoretical Insight\n", + "The constraint $\\cFuncPes(\\mNrm) \\leq \\cFuncReal(\\mNrm) \\leq \\cFuncOpt(\\mNrm)$ is the foundation for MoM {cite:p}`CarrollShanker2024`. The lower bound arises from the natural borrowing constraint in incomplete markets models {cite:p}`Aiyagari1994,Huggett1993,Zeldes1989,Deaton1991`.\n", + "```\n", + "\n", + "### Figure 3: Method of Moderation Solution\n", + "\n", + "MoM interpolates a **moderation ratio** in a transformed space that guarantees bound compliance. [](#fig:mom-solution) ({ref}`Figure 3 ` in the paper) shows MoM maintains positive precautionary saving even far beyond the computed grid." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5c433514", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:06.611904Z", + "iopub.status.busy": "2026-01-18T23:37:06.611808Z", + "iopub.status.idle": "2026-01-18T23:37:06.695173Z", + "shell.execute_reply": "2026-01-18T23:37:06.694908Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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pQ3e3NgFHzZgb9t3v5qRc3d+1lUMTIHuaqaZTsJVu893QQSZAqXSa5B2PvmeCGLqNZtXptHDN1rXSY3nYU/fY9plm9Op+SO8xkpL3nfXxtZv7qF8XmYyosIioRFmQGvSwr82Y1v3926I1tt81aKiZceb51K9m9o8GYpUG2ZIKOFYqXdTUXdX9rEGqaYvXmgCT0imqtwo4lipaUD5+9j5545tfzfO00mNOA056+fbXxTLxw6dNAFJpRq11f2gQbeRrD9umQmvg99Xhk83vC1ZtMSUhbpYJqlNdv/x5npmyrdOkrXU0//hznW0bnVKrgbOEr3m31vVtTa70CxnNzNSgvh5bGpjUgKN+/ljpOMoWKyQVShW2lUx4fmAXySg6ZfuTZ/vJ4+99b57f/4b/Yrtu6GM9zZR567j0eCmw4EaAq0CeXLc8hvRLkaSm8tauXNoEnnW6uWYK6me7PQ2S6WudcIq06tS8ji2bUI/BoyfP2T4X9XNAA45peX/fzB2Na8iYqRrw22++QNGApj39PNYs0Dsa1UzT5/yN533S4bP3sxf6S9M61/++a0C/6cA3zX3rZd7yjTKwa6tE96EBbt0H1hIQGlRVGiAFAOQcBBwBIAdLqmnMrTKN1KGTN4KNeiJVv/qN6WAayMkdHGCyVZxNHyfhePcevTGtzTrdNDl7Dp1IccDxvcF95HJYpMnY0inVmrl27uJVk5mi2R0vP9hVnO3BbreboI8GSGf8dX2apGZlJZVBktTz1+CqXpI7iUyrZnVu1HTMl/t6TT6rS1cjbBk/Vjp13T540qBGBXOc6OtzfdvrAT8NUlndVq2sw/3Wr1YuVQHHtDy+M2lmpmZQ6ZRwnfqoNMtWA0Ua0LjVmEPy5bIFI5QGwPR1t2YD6rYakHDcZ+US7bOkAo7pPUaSet/pvnxw6GgzHftmrMdHetnvK/vPG9WwRgVbwNF+O3tNa1eyBX41yzlPrkBbwFFrG6aEBsU1WDlvxSYTYNy854hD5rEGm//31S8yd+T/Eo2lXtUyDnUXdcxWGmQ7dPysCYDdLItWM1n1tdNxz1+5yWSj61Rxq74dmyb5mutnil6SovU3VemiBc1z08xBzWjuMvhjs7+KheQ1AVQN8iY3fTa1TWOS6j6u962Z3PbTnDs2r+OUbHK9n4Q0MG2tH3oz+pomFXC0bw5llmuUswUc9bVM6/s7Ofre7PHc57dsQuWM95v9uPUYsP+c0feNBu81kzPhtvaa/RegVPn+q+PqrPEBALIPAo4AkIOlpGmMM9lnemlTDXtaoP5WQpKoH5aaSX7hUdcDDCmhWXtWOhVST/KtQQ3NXMqIgGOFUkXM1E2dAmufOXczKX3+6emWnMfuhFG78tqzBvEgpinCkI/GO9TlTCpYkdnSe4wk9b7TzEX7YKMep60bVBN/X1+ZvGCV/LFkna32YlaggRJ7OoXfKjWHsDbBua9Tc3NRWs/undG/24K4uw6dMLVJEzZTclbZBevj6LRqzZrU6cLWgLd9jVqPFL7q4VHRts9mrVmoX3To58/+I6dNxqzev140C3PYk72TzGZLT9MYKz1O9icIXmk2nDP2ZaH8iRuGjfp1oe13DfQ+3rutFMybW06du+jwHk6YsesqWh/S+v7ULwVffqCrlC4WIp4eHvLYu2NNhmZWGq/9+80+0A4AyFkIOAIAUs2+6Ya1bpV2rrRmYiSX3ag1xqx0SpiVdruNSEEwMKmTaA3S2QcRtEtpkYJ5E20XERV9y26wetKr0+qSqqWlJ3ZWGZG9aR+4sQYcdZ9apxMmR5+/Ncvkvk7N5IMhfZPcTp+/VcI6lvq8U1rbMtlxlLwxJVWnr9tPEdUO3/aBSetrVrZYiK0ZjQawrEEc9e9/U3Ez8vGdTTt369R3Pba13t2D3W4enNEpzVZaK+/IyVATRFCayah1KW+MubBtnx04dsZhurLVv7sca46m5xi51fvOvnmFZr3q1FcrzQJOjn0dwNQEq3Vfbd9/zPyutVXtjxWtX5lwPzmbfq5psL283XGm9AsbzWK1BgI14GN9Wjpma61B/YzUL1mswRf7MevnVtkSt25kpHUbixbMa46vNVv3io/PjeB/307Xm8XY74dt+67vL/1yROtvJqTv+5j/phHra6HT3bXGpF6s63R6sDUAp03BUhtwTKmvJs03WaPW6eY6PVinNGsNwo+evS9dx1BSJQ2sgVo15L4OZhqy0iY+KaHHoNbztfp3x433nnZxT+v7Ozn24727TQNTE/X6+gsmCz8paf2ct/8s1f2rn8WaIWzN+LRvlpNRn6UAAPdAwBEAkGrVy5cwU8Ks9Zi0G+oLA7uYBgDaNCY55exOqvVEVk/WNbg35vclaR6LZtBYp7Lq1MT+r30jj9zdRkoVLWCmb+kJmdbT0yDN0u/fvOl9XY2IkpYPvC1dWtWT2pVKm2L5EdExpkmHnmxbac0ze/qcrR1w7RsipEWr26qaAIHW52rT8OY1vVSfDk1l/srN5nedyuvr7S0tbqsiPt7eprmHBpr+XLtNnuzT3gRGEk5xU9okQbN8NKiacKpgSnVpdZtpQqGBY617NuidMaaGl/7+6fjZtu30cayZWJ1b1rMFHDVjS2v81a1aVhav2Wpez4x+fGfTgJQG8zbvOWyC3lqb7maa16tiCyCZcgDvfm+CH0qbvFiDKXocasMV6z5bsna7+V0DNBqQ0amwGlTVqb7OOkZuRWsaWmnA45vJC0zGtD6OdoxOjh57mhWo5q7YJCUK5zfj0M+Gm3VqvqddY1vAcebSDWa/6bRkrWc36+8b04qtwTJn27r3qPmc02nrur/1GNIaivr5MurXG816qpUvYRqSqF53NjKNPDQIqc9Z69jpupPnLsqnP852yKBOSSdvDVZq1qweG3qf1mCmTt1P2IhDX/Nt+361BYC1Jmy9/8oW6GuuzZo0SPrFSwOlSe1KJiCmU3bbNa1lmsto3VMN1NlnW2stvrQGahPSpiXW57x6y15z/JjnEhQgP3/wlDzy1ncmIKelLJrWqSRdb69vu63955d+ti9du93cTjNx7act3+r4tWZU6uefjlGnx1sb89yKTmn/aNxM86XQum37Zf6q6+8vddd/r0Va3t83G6/VvBWbzd8gPQb0705yQde0fs5rdr/+/dPGT+qlzyeav+86FV4bfdnXytXPIwAAkkPAEQCQanoi+v7gPnL/G6NMPUM9UXvm4+tZMBo0ypsrMMlaTf06tzAnPXobvVgzofSEKy44Ps2Zg8Nfvt90Q9Xi+3oSad90wErHlRKawaFNNKyNNBLSE/F3/mugklH7NqlspORowwLt9jtyyiJz4jl+1t/mcjOapaWdxa1ZM++PnW7LtDowL3FX2ZTQemTa3fyZj38yr621kYa9wgXyyFcv329b1i7SWnNQg44aLLYGbZV9QDujHj8jaJ09vaSENvj4+tUHTS1E7VarXY21i7M9DaToNtasW20Aoo1CVmzcbZtqqZeb7bO0HCO3os1HGlQvL+t3XM/UswZqNDtNO4RrECYp2rBk6381LTWQb+24/eVLA03Tk+Rofb+12w+Y40WPFX0uI2WRwzb6RUFGdJC30n2nz9f6nBPSDME3BvVwCNy8OainvDvmeqdqrfFnrfNnpd2/rY1/UkIDqhqcs58627V1/UTZ2zr9WrPu9IsSfT98/V9A72aOnzlvugjf7LFTy75Lsr3JHw8xgc7zl67Ksx+Ptz2fd5+6xzS4+fSF/vLQ0NFmn782YoppgmINJuoxNGban7YxP/TWaPO7dvL++Ll+KRqXfhlhbdqzevNec1Ea3LT+fjOaeT76t8XmYk8DetYs0LS8v5MzsEtL+W3hGvNaapD7ifeu34/WU9TPPvtsSWd8zn/58kDzN1U7VevjPf/ZhETH+ucvDLhpfWEAAAg4AgDSRE8Wf/losHwyfrbpjOnn4yOt6leVVx/uLu0e/8C2XeB/2T5Ks5m0e/Bn42ebIJPWt7ujUQ156f675O7nPk9zwFGnqc3/9lUZP/NvWfLPVjl0ItScmOXPE2wyTDR7pH3T2re8H+3GO6RfR9m486DpXHvhSpjExsaZDq7lSxQ2mU0a0NA6blnJSw90lWZ1q8jE2Stk4+5D5iRe655pcFSDHm0b1ZC2ja9PGbRmSmnHVD0B1dcuPfUd7XVsXlfKlyhismA0a+nshctm+qM2pNBszUd73mFeEyvNBJv8yRD55MfZsmj1FpNhWrlMUXninnYmM8o+AJkRj58VaKbRgm9flbG//2myyU6EXjRBFg0UaGDl0Z5tzfvGSqdEjn1rkOlYrPX2NLtQn58GOTTAkVwjjNQeI7dixvH2IPnoh5mydN12uRoeZbL7XhjYWdZu259swPHpvu1NUF9rAp6/fDXFNef08Ua+9pC0a1LTNPzQbEd9TM260qYkmpmpTV0yyp1NapqgqAax9bE1wKP73tpYpUH1CiaAnrAZkU67rVWplPw4c5ls2HHQ7HcN1mhZCm1motffqtSDPT0WWtSragvUqr4dHKdTW/fXly/fbz73tMO3BnkvXQk3n7la01CzUds2rmEyipU2+nrx/i7y785DJuNVa+pq8yr98qhqueImYzKpDubpocf585/9LGcvXLE1yLK+htp1/YFureTHGctMlvLTH4yTaV88bwJzmjn41uO95OfZy+Xo6XNm+nVq9e3YzJQK0AxUrVWpTZE0i1aDt7c/9M4tb6/d5zWj/7vfl5jsed1/nVvUlRfvv8uhE3tq39/J0eNK/97q+03rhOp+0L+d/3uom3Qd8mmSt0nP57x+eaHj1s/SP//ZbvaRBvp1P2lQ9tEedzi98RYAwP14WKj2DgBIA/3zkVRtrJ0Hj0unJz+yLetJi30DFgAAsptmA4faapd++nz/FJcfAAAgpyLDEQCQJprx8NqIySZTpEqZYiZbSoONH/8w07ZNzYolCTYCAAAAQA5DwBEAkGb2ta8S0qYZw195INPHBAAAAABwLQKOAIA0yZc7yNQz1Jpf2vVU62wFBfqZ2k93NKwhA7u2lDzBga4eJgAAAAAgk1HDEQAAAAAAAIDTeDrvrgAAAAAAAADkdAQcAQAAAAAAADgNAUcAAAAAAAAATkPAEQAAAAAAAIDTEHAEAAAAAAAA4DQEHAEAAAAAAAA4DQFHAAAAAAAAAE5DwBEAAAAAAACA0xBwBAAAAAAAAOA0BBwBAAAAAAAAOA0BRwAAAAAAAABOQ8ARAAAAAAAAgNMQcAQAAAAAAADgNAQcAQAAAAAAADiNt/PuCgAAONOx0+elxQNvOaxbMf4dKVmkgGRna7bslb6vjHBYd3jBNy4bT041ddE/8tIXE23LxQvll1UThmWZ+wNu5suf58rwSfNty41qVpBfP33WpWNC9lOmw9MOy5M/HiJNaldy2XgAwJ0QcAQAN9Tnpa9k7bb9idaPfO0h6dyyXpK3iY65Jk0HvCnnL4clui4jglwvfPazTFuyNtH6Vx/uLo/1bpvs7To8/oHsPnwy0fq0nCRkh/2UmSfv9nrd2TjbPpfMkDC4lpCXp6fkCvKX0kVDpH71cnJP+yZSuUwxyW4Wrt4iOw8cty1XK19C2jetLe6s2cChcuLshWSvD/Dzlfx5gqVqueLSrmkt6Xp7ffH39cnUMbrz++r4mfO25ca1KhL8yeJWbNwl0xavky17D8vZC1ck5lqs5AkOlLy5g6RQ/txStWxxqV6+pDSqVcF8CQEAyDkIOAJADjJh9vJkA2mz//43ySBaZps4d4U82rONeHomrvrxz9Z9SQYbc+J+cjb7TCHriT4Bx7SLi4+XS1cj5NLVI7Jl7xH5ceYyebTnHfK/h7qJh4eHZBeLVm91+GKgZ9tGbh9wvJXI6BgTkNTLkn+2ybe/LpJv33hEqpQt7uqhZXu/L/4n0ZdABByzJv3y7blPJsi8lZsSXXfu0lVz2X/0tKzevNese/yeO83nHwAg5yDgCAA5iJ7I7Tl8MslMq59m/S1ZZRrxX+t3yB2NarpsjFllPxUNyWuyJhOuy+7qVi2b6Hm5u/h4i3w3dYnkCvSXp/t2kKygU4u6JrBs5e3lmaXuL7s4dCJU+r/2jSwZ84bkzRXk6uHkGA/d3dpkYlv5kWWaqd4b80eSwcbsJuHfopD8uV02FgBwNwQcASCH0ey99wff67Du350HZdu+Y5JVTJi9IlHA8VToRZNtlZP2k7eXl1tmGer0U3d8XiP+94DUrVLW/B568YrMWb5Rxk3/y2GbkVMWmUBJoL+fuFpQgJ+5ZNX7yyrqVCkjX//vQfN79LVrsufQSfl8wlw5ePyMbZtzF6/KuBnL5PkBnV040pxFp+3qBZnv4pUw+WXeKod1mvnct1MzKR6STzw8PST0whXZfeikrNy0W1Zu2iNZlTv+LQKArIKAIwDkADqF02KxmN9nLF0vrzzUTXIHBTgE15La9lauhkfKrwtWy1/rd8qeIyfl8tUIE0wqVCCPNKhe3tStq1e1bKrHuPzfXXL4ZKiUKRbiMNVap6mmdoyu3E+arblozVbZtveo2T+XroTL5bAIuRYbJ7mCAqR00YLSsGYFua9jMylt91xT0zQmYb25T5/vL3e1qic/TP9LZv+9UY6cDBUvL0+pXr6EDOp1h0MgN6n7t0rY1MW+IYNmf2oWqj6v/cdO/zd1OMLsj9zBAVKuRGFpVqey9O3Q1BwLaWkak1Qhf62ZN3rqEhN41uesx1rdqmVkcN8Oclu1ckk+Dw0ST1mwWjbuOiSnz10y0wBzBweaGnxlixeSOpVLm+dWv3p5Sa+QfLltr43+1GP/4uUwmb50vcN03E27DkuzupWd9l7S/a7BzVnL/jX1Fs9fvmoyKvPmCpQCeXNJlTLFpG6VMtK8XhXz2qSkyUty9U11enXC2qvWY/Jm9/fO6N/lxxnLbNe1aVhdxg17ItH9R0XHSP2+r0lYRJRt3bh3Hpc2jWo4bLdlzxHzum7YceD663ot1jzfWpVKS9fbb5MuLeslWZYhLfx8vB3ecxVKFpHqFUrK7Q85Zkat0amj/wUck3vvXouNNUHn1Zv3mKB0xdJFZf6oV5363LSG3qxlG2Txmm2yff9RuXA53KwvmC+XlC9ZWFrUqyp92jeR4EB/220WrNwsm3Yflm37j5ovd/T9rMekZg3qMVStXHHp2LyueWz9PEko4fHyTL+O8lyC4OvNmrwkVzdTt09Y7sH6WZGapjH6eaWf6focz128IrFx8eYzQD8X2zWpJd3bNEgyQzK5x/hr3Q7z92DznsMSHhktJQrlly6t6skT97STAH/fRPeT3v2bsOaxljb49Pl+MmneKrP+wLEz5v70Sw/dVv/GWM355hWpUaFkkvvWvnavfs5M/fw5SYnNu4/Y/h6rUkULyug3H3EoF6HvE50O/2D3283n2alzFxPdj067nr9ys/lbsuvQcblwOUwuh0Waz4GgAH/zvrutWlnp06GpVCtXwuG2+jfu3e+m2ZYrlS4qi757Pcnx6ntV/6ewGvZkbxnYtVWKmsYkdWwPvq+D/DJ3pUz7c52ZNq6ft/r4/bu0kN7tbmTdJqTH+IhJ8+Xvf3eZ51owby5peVtVk/Wun+Pu2CQOQM5GwBEAcoAmtSvK2q37zQmCnhxNW7zWnAQoLfI+b8WNaVEt6lUxAb9b0W2e/eQn80+zPT3RuRoRZU6A9KRZT4zeH9xH/P0Sn4TZq1WxlDkh0ICc/uP98+zl8uZjPc11GiSaMn91qsfo6v2kwUb7EyJ7ut/0oiehGojRbMqbnaiklJ7QdHryIzl44qzDej1h0suHz/SVvh2bpesx9HW1Dx7Z00wvvazbtl++/2OpfP3qg3J7/WqSXjsPnpDBH/1o7ttKj4tl63fKyo27Zezbj0nrBtUdbqOPr9P+ktv3eqK4eM1WE4Rb+v2bkhE00GcfcLSeZDvrvaTvlcfeHZtk9q8es3rZdfCEGcN9nZrJB0P6iivo1Ff7Y2bFxt1y6Wp4oinIS9ftcAg2ahC3ld3xo4GIN0f+ZoKbCelz1ZqKevlp1nJTV1GbVmQE/TJEA1b2r9n5BK9rUs013hk9zRy3SXHGc9Ngpb5Pjp46l+g6DYLqRd8zOvVdg21WL305yQSsEoqNjDafhXp/C1ZtMbVIf3rvyWyTWaivyTMfj08yw06DuXr5c+12+fa3xWaf6pcaN6Pvtze++VUmzlnhsF4/b0f8skD+2bZfJn80JFHQ0Nn7VwPXDw4dLX9v2OmwXgOYHZvXMV8+WOkXGTWe7pPoPuat2OiwnJq/P1fCIxzHcy3WBMaTa56UJ1eguST1hdCb3/ya5G30f4HL+yNk+/5j8vOcFSZ72L4cRffW9eWjH2bYgqt7j5xKshTK1r1HHIKNvj7e0rV1/RQ/18TjipTeL3xp/nbb01q9W744Yr7ke/GBu5J8rg+8Mcp8pludDL1oPtv1C6N3n7onzWMCgKwqZxTXAYAcrmjBfHJnkxuZbfrPuzU775d5K23/sOvJyr0dmt7y/jTz5pG3v0sUIEmKZl88/+nPt9zO38/H4YRn6uJ/JDIqJslGLfd3bSnZYT+llGYkvTr8FxMYSi/NWkkYbLSnAVA9kcsMeoL99AfjTCZXemng0D7YaE+zlV4fMUXi4m5k3Jw9f9mcjLravqOnE62zP/FO73tJg+CZWWogrTS4ZR/M0feSZjYlpO91e3e3aWAL3uh7UQOzSQXkkjy5f3OUCeJlBD2mL165njlolTuJgIq9oSN/SzbY6IznpoGZ+/43Islgo7Ns3n1YXhs+WbID3T8PvvltiqbzakCq36tfm4DszazfcTBRsNGeftHy26I1ktH7V9/3CYONVvf/l7lnNXPZhkTHimam7zl8yrYc6O+bbKO0pOgXAfZOnbsknZ/6SEb9usgcn9a/3c6iGYSf/TTHZJZaaWbo7Qm+ZNLM3lt9prRtVDNdtVa1jnPCYKO9Ub8tMl8SJQx8D3pnjEOw0Z5+yfLyl5PSPCYAyKrIcASAHEJPQjSDQmntMa2r1LhWJRNIs9KpuPly3/wf8fj4eHl1+GQTJLPPGHjpgbukaZ3KZrralxPnmRMnKy0sr9l+OnXtZgbe1VLGzfjLnFxcCYuUGX+tN9l4E2bdmMqsmTmVSidu5pLV9pPy9faS5nUrm2nMZUsUkgJ5gs00Rn1u/+46KMMnzrcF/zRopicyHz17X7rGr4GLmhVLyisPdpP8eYNNZqj9VPCIqBiTJaXZcvZNaRJO5bKvR6jspxsG+PlK20Y1pHXDGma6l574Bfj5mACMdiT9ZspCW2BFT6Q0wya9jVLMdLN6VWTIfR3Fz9fbNGCZa5dxqpkiG3YeNFMelU6h1n1qpVMKX36wqxlvbGycnAi9aKYfr9p0fWqrs2kW49zlG2XyfMc6Z9pIpW7lMk57L63ffsDh/ru1rm/eR/qaRERFy9GT52TTnsMmizI13bG/fvUh8xp+8P10h8CgZk+99sjdaWpkpF8oDBs9zSEQYJ9tq5leOvU14W1sz33FJtt707ovn+zTzry/NGCyec8R+XjcTFsGqb6+muXqzCY9uk80i+rd7/5IVFKhQfWkp/Vb6fGo9SCfua+jmYJ69sJlc1/OeG46lle+nGT2ob3OLeqafVy8cH7zubN++36ZOPfGZ5n99PeGNcqbz1edeq3Zm/FxFjl+5rxMXrDaZAJbzVu52bzfioXkE2f5/fPnzP7R7Ez7410zzB/q3jpN96k1NbfuO+qwrkOz2uYzXmuNzl2+Sb77fYntOg36vztmmowZOijZ+9T9rK/Hqw93N9Nudxw4Jm98/atDIEmzCxNmkTt7/+q+0s+Kp+9tL22b1BQP8ZBt+46ax9HPOg3w7zhw3Gyrr/u8FZulR9uGNx5juWOzF53OnZr6q/WqlUuU4atBtk9+nGV+9/L0NOUCGtesIJ1a1pWGNa5/Liek22k5jLaNa0rl0kXN55aW5QiPiDYB9BG/zDf7wuqH6UuldcPqDp8P9vtuzt8b5aUHujq8Xvo620vvTAK9Ty2H8sagHuZ9rO9b+6np+v+LZizq1GsrzaC1/9JU9bijoTm+9QuVhH+nAcBdEHAEgBxCT44qlylqy2rQaXkaINKpelZ6ImY/nTEpOi03YdaWTn0e0KWFbVlPLprfP9ThH+xJc1feMuCo/7zr9FudVqn0H3CdHmV/0phR2Y3O3k9qwF0tzSUptSuXlvi4eHlv7HSH7Jj00pPGCe8/JflyB5vlYU/dI/9s3Wemm1lp04tbNaWxr0eYkAbukqMnj5rNMd6um7ceM0+ncyavnkj/8M7j5iRbffXKA7Ji025zMm2159AJW8Ax1q6+mNLsHa2VZaUnw3qsaVAnJa9lSiSsS5mUfp2b2zIcnfFeSvg8H+h2u5nGbaV1zzo0r2MCJKl5ntbpugmb2+hyWmuKdW/dQD78/sYUSD0u9X1lfSwNHERF38gArF2ptHmdrBIGyp7p18nUUrPSbX19vOSZj3+yrdPGFukNOOrrlLDOW0IahNJ9fzMlCheQKR8PsU2J13qK1lpx6X1uG3YctAWYrPRLhc9fHJDoc+f+breboLu9Bd861pG0qlSmqNzeoJrU7v2KbUqwBlw00K3BbWcp+l9wTetl2tMaumk93vR9Yk+DvTpt2hp415qYWlPVPtCj2cL2x2RSNNB0X6fm5vcKpYrImfOX5YPvb2RTW4PIGb1/hz7eU/p3vvFZYZ9BrH+j7DPmpixc7RhwtPuyRvW6s5Gkhk6dfu/pPjL4wx8dajla6brdh06Yi/4tqF+tnHz58kApWaSgw3YaaNRLUmpULGlqlz7+3ve2df/uPGQy2a1Zz1pGQ7/Is34+Hjl1ztTVrPPflzqabWkfsNTX1f7vQFp4enqYv0X62iv9H2XLnsO2/1vs/8Za6Zen9vSz7YuXBtqW9e+0jj25rFUAyK4IOAJADjLwrlby+tdTzO9L1213qGukDSlqVixlGnrcTMKMKv3nu3eCkxUtmq81kuxrtunU0ZTQEyXrP+46xVinGltpxke7JrUdTiCy6n6y0jqBvy1cI+t2HJBjp86ZTBj7jDZ7Zy5cTvfYtamENdhopYEN+4CjM6ZU65SyP5asNT81S0czq+wbFdjTTK700vqD1mCj8vH2Mlkm9l3DtbaWlX19OqUZKJt2HzINVLRmo+6TKmWLm/uxb56RkTS7yj470BnvpYTP8+G3RpsAhjZs0OdZsZT+LGSCLJn1PJOjGVGanWSdAq6ZQJoFaq2TmnDqo30QRIMMGjyw9/mEOeZyM/pZoXVNNWCdUTQja9RrD9/yMR7p0TrJWrbOeG4avE3o5QcT15FTeszrxZ6+d7WpimY/a8BMs341GKevUUa9pzOSdd/Y631n40RZvtqMJGFmmb6/OrWom+wXOhrItaefJfa0QUpCzt6/miXZp33Tm/4d0OxkbU5j/TLr0ImzplGWZu7vtguKakBXMy9TS/eRvqe13IVmI96MZp/f+/IIWTj6tUSfQ9Y6htp0Sf/WXgmPTLb0gO4zrR9p/Runx3G3Ng1k3PS/bNvMXvavLeCYuERDwySb8qSGNkSzBhvtjwH7gKP931idpp+wHEjv9omzLLXJGgFHAO6GgCMA5CB339FAPv5xpskK0xMdDYalNnPwbILpp9plMamT6FIJMhk0IKUZVrcKemj2QTk9KfqvDqF9nSnNDkvvyUJm7SelQSKdopfcSWVCCadDpoV9F2KrhIX87acap8UHY6fLmGl/pnj78Mj01/PSoFlC/r6Ox11s3I2Ap55Y67RG65RmDfJqoMu+3qHWDb2jYQ15tn8nh0w6Z9ITcs361K7ACTN5nPFe0hqHWmtUp9gqneL4x5J1ie5Xs6U0Yy49tcucQYM+9q+B1lwzXWzDIkwjGYfGDrffyPC6eDU82UD9rWjGmrMDjjrlWYO6dzapJQO7tkxU0y4p1csn7hTsrOeW8MsKPe4KF8ib4vsY+No3DkGozPisykhJBeySypQslcS6mwX7ShTOn6ibdcLPoYQZfxmxfyuXLpYoaOwwJj9fE5C0nzKuQT3NdE6c3Zg4EJtSGqjULtiaXatNkTZsP2Cm/ydsjKU0AKw1Sq1fMKj5KzfJs59MSDbAmNzfE/u3m36m2AcctdTG649e/2JHp5KnJ5PTGX+LktoXCT/TzbpiidcBQHZHwBEAchCdDtkrwT/n1mwJreGUFeiJT/+7WjjUerMGIJzZqCWj95Op85aKYKOzJBVQ8vR0XpBWi/anJtioEta6c97zuvlJsnbk1hNizTBdv+NAoqCOTt/Vk1Otbzj7m1dM5+H0sK97qQEpDQjmCgqQjKSBhWmfP2+mLWo2j2YFJ9zfesL7w/S/ZNXmvTL765dvGqjIaJrhqAFQ60m4ZshqBpBmDNu/PhrIS6qrbVqkt3GMTsX9+n8P2j6fNFCtXYRTux8LF8gjzuaMpjjvfDs1VcGwlLynk/rcS9hkJztKy+dQRuzflBxL/bu0kLF//Gl7LbTplNaHta99q8dzwozNtNBMa5Nt3ftO29+/Mb//aR7TnmaZPyjXA476GfDi5xNTFWxMat/oVHL7mpXaeXzd9gOmRq59fV4tJ+CML5bScgwklMb4LgBkOwQcASCH0YYSmnln/0+71qOyn656M4USZPLoSYOe9CbMzDp6+lyiqWgpndKpGQuf/zTHIcujS6t6pqB8dtlPmkVif9KtJySmwH/jmv81nPGQmX+tN503sxMthm9Pgy8v3n+XqUWn9dbU6KmLE9VPcxXN7NOLZpxo994jJ8/JzoPHzTRKrb2mdJq7Nux56/Fe6Xqsm9W9zMj3kk67fuKeO81Fu8NqdvCRk6GmcY4+T2sgT+upaYmA9k1ri6to3VB9PTQAaqWB0oQlChJmIuXLFWTee/ZBybef6GWaqtxKyE3q8aWE1hVMax1Be8llkTnjuRXO7xiA0kxX7dRe6BaBKX3Mxf9sc1inwRvN+tVGV34+17P5uj3z6U07qevrmnDqa0I6pTezFEqwP1RSHaiPJrEuqdumlbP2b0IpyUjUY7ZNg+qyZO12s6zTerXRkH4pYdWkdkWTtelsWtfwsxf6y8ZdB+XQiVCHpmX2X14lzOTU+rXd2zQwX0roF2Vrt+0zQclb0S8Idxz43SFzOmFgUrdxBX0uCR0/4zjdX2mDLwBwNxk/Lw0AkKVoFler+jeKpmuWTr9Ojh01b6ZBjfIOyxpUm7rYMYtBgx6z/trgsK5+dcfb3Yxmhd19x40C9+r+u1pJdtpPCafl6QnY8wO7mEYFWjhfTwa37HXsoOpKCbO1opLJOkn4vFrUqyqP9GhjTqL1OWnH4q17j4ir6TFobcJgDYjodHPNsHvq3vbyWO+2Dttrh9XM5oz3kjbosZ++p8FHfS20vpo2t9B6jul5ntqoJCXHRWokPPHXLuba3dw+e6tlPcfGDlpKQaem21u8Zpup66rHXVIXDfLvP3Y6UUmBrMYZzy2pGnyf/jQ7ycfTeoJ6XKmLV8ISZf4O6dfRZJjqlHF9LJ3ufqtgmNaxtKdjS3jcrdq8R24l4Rc6aT3edN8lnEY/dfE/iYJQUxJ0kU/t36pbcdb+TauBXR3/buoXeQm/3EsLrdn46vDJph5kcvTzLDrG8bmH5MuV7N8S/bv/7tN9zHuhdLEQs2+273dshJQc/RLD/m+Ydo627/p+vUTDbeIK+jx0doS9hGUvrI19AMDdkOEIADnQc/07m2YSqlTRkBTX+lLaBVgLptvXNXz3u2kSHR0jTetWltALV+SrifMcuupa6y+mhgaxAvyun0zr9EWdDpWd9lPCxi37jpySCbP+lqZ1Ksulq+Eycc5K05U3q9Cab9aMP6UZihr4yRUYYLteM+uuZ2feoJlp2gxBG+noVDatGWbfyMVVNCuw+zOfSZuG1c0+r1S6qHkO6sDxM2b/29Pnltmc8V7SjNORUxaaAEbDGuWlTLFCZiqyTlPUzsWrNu1J1/O07jOr1Zv3mCnoGpDXLCutZ3ezjr5J0SmQNSqUtDWa0O6s9vTLhqRqtfbv3NwhE1IDWP1e/Voe6NrKZIt5eXqaIIZOrfxr/Q5Zu3W/yZbSTrZZXXqfW/3q5aRa+RK2Wp5K6+VppmHfDs2keOH8JgBvzXod8b8HTWA6d1CguW/7uoOafZo/d7DpEKxT3j9LJnBpTxswzV95o17e3xt2mWO3Y/M6JrNQG4ukpLxEwuNt0eotckejGlK0oH72epjjN+E2N2s09en4G2PfvPuwPPHe96abuHYV16nFCbuDt2taK9XH8804a/+mVYt6VcwXLdbAoH1jr1yB/tKhWZ003a8GUbU+rl605IDWwq1VqZQUKZjXvHc1g++nmX8navDWqOaNwHjCvyV6fGpzr84t6klEdLTM/GuDyTxPCT0m9DixBhkTBnD1ddX/I1xFa+2OnbbUtqwlPp75eLzJ6AwK8Df7cdl6GsYAcD8EHAEgB9LgXVoDeDrN6cMhfc3JsDVzQ3++N3Z6srfp1LyutGtSK1WPowGN1x/tIdl1P2kAaNSvixwatQwdNTXRFFz7GlOuVLdKGYeMEO2mqherT5/vL73bNZZ2TWvLrGU3On9q85JnP/kpSz4vDbZoUMG+ZllyXBGUctZ7SZtSaID4VtPYNfChAYjUsNaktK/DN/D1kQ5B018/fVZSS6dMJ9fZNrnGDpq1qQEs+8CWdmdOqkNzdpPe56bB34+fvU/6vPSVw7TVOX9vNJfkaEZsi9uqOAQ7tKNx7xe/tC1rcE6n8Ot7PTmdW9aV4ZPm2YKKmkmoAUe92I/xVrUJ9XNIA01WOh33nhe/si1rvcHPXxwgKfHw3a1lwarNDl+AJMx8Sxi0enOQc//mOGv/ppXucw1qvTP6xnRj+zIlOr700kCuXm6lbPEQh+7f+pmbsJTA8EnzzSUtf0s0czq519ZV06mtHu99p8lqtP/ySI9z+2Ndy5NoXWEAcCdMqQYApGkq6PdvP5aiTJMebRvKFy+l7ATRneiJ80N3t072+oY1K8gz/TtKVjGoV1vT6ORWOreoKx2aJV8DUE9i+6Zi6nlW0LllPad0L83K7yWdgvvmYz2S7GJ+MzolWzPnnE2nQCZVD1WzpXSqaXLBky9fvl/6dkxZ8yjdvkhB5zdqyQjOeG6aZTzxw8FSonDq6k1q7dICyRx/+hrpuG6VHaavmdYQTY6+rgPvanHLsWh26/VsxvTTWqjj331SmtWpnKIvuCZ9ONiUu3A2Z+zf9NDPtqQym9MThAvw801xPWOlnzs/vvukw22KhuST/z3cLdnbaPb3sKd6p+qzKuHUZaWZ+i3qpu6LFmfT+tNj3hqUbB1rff0/ea7fLUtaAEB2Q4YjACBNWt5WVZaNe8vUX1u6boeZMqy1qPSEQqceN6heTu5p3yRRbbKcZOhjPaVmhZJmCuPuQydNZ0qdmq3Tqx7u0Vqm/7lesop6VcvKlE+ekdG/LTbT/C5djXCYBmgf6Bj1+sPy06zl8tuiNaY2mzbVKF+qiNzbvqn06dDEIavJVcqXLCy/ffasrN9+QP7dedBM69TskstXrx+jGqzReprdbq8vbRrVyLbvJc340qYP2pVVs4x0WrzWddQst8AAP1M/TG/ft2MzM+01tbT25S8fDTZZR9rkQadIJqxJlxZackCnQNpn9KlbBX61ZuGHz9wnA+5qKb8tWCPrdhyQE2cumOwwzRDS5imVyhQ1UzfbNq6RIQGkjOKM56bv4yVj3zBNM7QO5I79x+TCletZVQXz5jbvC81yLV30xm3LFi8kc755RUb8Ml/+Wr/THD/aiVen6D/Rp52Z/j5s9LRbjv+lB7qa+/p5zgrZe/iU+bzTx9Mgojbh+vqXBbe8Dw28/P7F8zJi0nxZuWmPmUZuPw04LYGeiR8+bTIMZ/y13kwp1+Yp+tmmU5qrly9pmijdfUcDUx4gIzhr/6aVtSbyxDkrHAKA6fnbrGURNv32sazctNt8xupUf23KpTUrte6mHsu67/UzRzOytX5iUvv3oe6tzf4ZO+1P2br3qHmttfZmp+Z15Ml728mWPUdS9VmVcOryzUo0ZDbd3wu+fc0c23//u9Nki2tDGQ2UDrmvo+w7eirR39qEpVkAILvxsNxqbgMAAAAAIFvS7tRaR9Pq5Qe7ypN92rl0THD06vBfZPL8G41jalYsKbO/fsWlYwKA9CLDEQAAAADckDZw+XHGX7ZlzZzWerzIXF9MmGNqOWutVs0Q1YxMpTUqtf6ufbAxPR3EASArIeAIAAAAAG7i9LlLpoGQlj/QplL25THu7dDUNGNB5jp36ar8Mm+VaSbn4+0leXIFyrVrcaZ8RkINqpeX+zo3d8k4AcCZCDgCAAAAgJvQWohHTp1LtL5iqSLy0gN3uWRMcHx9tJZoUjo1rysfPXefLQMSALIzAo4AAAAA4IZ0CrV2Lu/QrLY81rutaSKDzPdgt9ulWEg+Wbttv2mwo03MomOumc7VJQsXMA2fut/RQOpULuPqoQKA09A0BgAAAAAAAIDTeDrvrgAAAAAAAADkdAQcAQAAAAAAADgNAcc0mjRrpbkAAAAAAAAAuIGmMWkUFR1jfkZfi5OcIiwsXCZNmCL9Bt4rwcFBSW6zdts+eXbd6+JfKsq2ztfiJwvu/E08PDwycbRA6sTFxYuXF9/B4Lr4+HjZtWunbblq1Wri6Zl9jw+Ob7gzjm+4M45vuDOOb7izODc+vv18vFK0nXs+e7hMpdLFJDbUz2FdjEe0nIkKddmYgJSgexbsaT+1nTt22C7Zvb9a9h49cHMc33BnHN9wZxzfcGcWVw8gCyDgCKfKlztIAiLzJFp/4Oohl4wHAAAAAAAAmYuAI5yudGDpROv2Xz3okrEAAAAAAAAgcxFwhNPVKFxRLAlKW+44v9dVwwEAAAAAAEAmomkMnK5K6eIy66Sv+Ba63lhH7WdKNYBsRJtchYSEOCwDAAAAAFKGgCOcrnKZYhK7xTHgeDH+goTHRkiQd6BLxwYAKaEdqW9v3cbVwwAAAEAWs23rDtmw9l+JjIxy9VCQhVnEIh6SvZIWfH19pGBIQWnbrrUE5wpO9/0xpRpOV65EYYm74NipWh0MO+yS8QAAAAAA4Ixg46SfJsvJk6dMQAlIjodkP2Fh4fLP6nXy+cfDZd+e/em+PzIc4XS+Pt5SyKOIRMp5h/U6rbpm3mouGxcAAAAAAGmlmY25cueSF155Rvz9/V09HGRhFoslW5ZlOnH8pIwdPU7WrF4nFStXSNd9keGIDFExb/lE6/ZdPuCSsQAAAAAAkF46jTpvvrwEG+G2ipcoJiGFQiTsali674sMR2SI6iVKy8YrXuKd+0a76p0X0p+SCwCZ9Y3k0SNHbMulSpfOlt9QAgAAwLmyW10+wFXHOAFHZIjKZYvJtX/9xDt3hG3diejjEmeJEy8PL5eODQBuJT4+XtatW2tbLlGypHh58dkFAAAAACnBlGpkiEqli0lsqK/DuliJlRMRp1w2JgAAAAAAAGQ8Ao7IEEUK5hXvsMRt1PdfPeiS8QAAAAAAgIwxd9Hf0qn3o64eBrIQplQjQ2itszIBpeSMHHdYf+DqIWlTpKXLxgUAAAAAQE7QrH3fm17/UP+e8vCAXqm+354DB0vfnl2kV7f26Rgd3B0BR2SYqoXLy6mYNRIf7Smx53zlWqivVKta3dXDAgAAAADA7c2a/K3t97mLlsn02Yvl+6/ft60LCPB3aJoYFx8v3tQth5MQcESGqVKmuEweU0os127M3PfsklukhEuHBQAAAABAur3y5UTZf/S0yx6/Qqki8vFz/ZO9vkD+vLbfAwMCxNPL07Zu45adMvjld+Xz916R0T9OkYOHj8t3X74j02YvksjIKHn/zedst3393S9NcPKNF5+Qp18aJqfPnJMvR403F7Vq4WTbtqvXbpQR3/0s5y9elob1asqrzz8mwUGBGbQHkJURcESGqVymmEOwUe05fFKa1K7ksjEBAAAAAOAMGmzcvv+YZGcabBw8qL8UDikoefLkuuX2H7z5vNz/xCty9113Sud2tztcFxEZJdNmLZJhrz8j0VEx8sb7X8nPv86UJx66+dRuuCcCjsjQb1sS0oAjAAAAAABwvUH33yO31amR4u1z5w42mZKaMWmfQamuXYuVl555RIoUKmiWO7ZtKf9u2eH0MSN7oEs1MkxwoL+ULFLAYd1eAo4AAAAAAGQJVSqVc9p9BQUG2IKNqkCBvHLp0hWn3T+yFzIckaEqlS4mx06fty3vO3pa4uLixcuLWDcAAAAAwL1m9WW3x/f3v9E4Rnl6eIjF4rhNbGxciu7L29ux4YyHeEi8JT7dY0T2RMARGV7H8c+122zL0THX5Ojpc1K2eCGXjgsAbsXHmz+RAAAASN7NGrZkV3nz5Jajx0/ZluPj4+XgkWNSu0YVh/+TdT1wM5xNIUNVLlvM9ruHd7x4F4iRX/fNlOeL3C++Xr4uHRsAJMfLy0u69+jp6mEAAAAAmapu7WoyedocWbJstVSqUFamzVooly9fddimSOEQ2bRtl7Ru0Uh8fLxNkBJIiIAjMlSl0kXFv1y45Gp6UbzzXRMPD5GF12ZLj/A2Uil3eVcPDwAAAAAA/KdJgzrSr3dX+XLUT2KxxEvv7h2lQb2aDts8MrC3fDr8e7nngWcl5to1WbVwssvGi6yLgCMyVOmiIeLt4SM++a85rD9w9RABRwAAAAAAMkGvbu3Nxape7WrJBgoff+hec0lOjaoV5afRHzus69yulbnc7DGRs9C5AxlKm8OU9C+RaP3+q4dcMh4AAAAAAABkLAKOyHBVipaRuAjHQ23v5QMuGw8A3IrFYpHLly/bLroMAAAAAEgZplQjw1UpU1yWn/MVr1JRDlOq9QTeQ4s6AkAWo133Fi1cYFvu0bOXaSQDAAAAALg1MhyR4SqXKSrXQv0c1kVaIuVMVKjLxgQAAAAAAICMQcARGa5ymeJy7ZxvovWa5QgAAAAAAAD3QsARGS5/nmAJjs6XaP2eK/tcMh4AAAAAAABkHAKOyBQV85aR+BjHeo2bL2532XgAAAAAAACQMQg4IlNUKVNCYk75O6zbdXmvRMVFu2xMAAAAAAAAcD4CjsgUlcoUk5jjjgHHWEus7Li022VjAgAAAAAAgPMRcESmqFymmEQnCDiqLRe3uWQ8AAAAAAAAqfX0S8PkmzETXfLYP/z8uzz09GuSHRBwRKaoUKqIeFwKoo4jAAAAAACZ5L3PvpVm7fvK59/8mOi6dz7+xlyXmuDZ3EV/m9sMeOzlRNfNmr/UXJfSgNhTL74jLTreJ4ePnpDs5IM3n5cH+/fM8Mdp1r6vrPpno8O6vr26yJcfvCrZAQFHZApfH2+pU7GsxJykjiMAAAAAAJmlcEgBWbJstcTEXLOtCw+PkOWrNkihgvlTfX+BgQESeu6C7Np7wGH9vEV/m8dKieMnz8iBQ8fkrg5tZM7CZZIZYuPixGKxpPt+cucOlqDAAHGFwAB/yZM7l2QH3q4eAHKORrUqyM49G8S/TGSiOo63Fajt0rEBAAAAAJAWs48vkLknFqXrPnqUvEvaFWud5HWHwo7Kxzu+si13Lt5O7irRIcX3XbVyeTl05Lis/OdfadOysVm35O81UqlCGfHycsxDu3IlTL4YNV7WrNsksbFxclvd6vL8Uw9KkUIFbdv4eHtJ6xaNTYCxaqXyZt3R46dk34Ej0q3zHbJ5265bjmnuwmXSqnlDuatDa3n5rU/l8YfuFW8vL9v1PQcOlq4d2sj+Q0dl9dpNkjtXkDwysLd0bn+7uf7U6VDpdf8QeefVIfLr9Hmy/8ARKVWymLzyzCNSrUqF64+x6G8ZOXai/O+5QfLtD1Pk+MlTMmvyaPHy9Ez2OR48fEweHvy6DH35KWndopG5nzkL/5IRo3+Wn779WIoWCTFTqqtULCdPD+pvG2u3TnfIwUPHZMWafyV/vjzy0pCHzXg+/OI72b5zn5QrU0KGvvKUlCxe1Nzm2IlT8vWYibJz936Jio6RcmVKylOP3Ce1a1Sx3afSfaOKFC4o0yZ8baZUr1q7UcZ984FZHx8fL+MmTpPZC/6Sy1eumvsZPKi/1K1VzVy/cctOGfzyuzL8o9fN4x0/cVpqVK0ob7z0hISkIdicGmQ4ItM0qllRoo8n/hZg66UdLhkPACTH09NTOnbqZLvoMgAAAJCU89EXZM+V/em6XIi5mOz9R8dFO2yrj5dandu1MgE4K/29c/tWSU7BPnDoqHz27ivy7RdvSUREpLz6zueJMgP1/hb/dSNrcu6iZXJ784YpyvzTINmCJculXetmJhgaFBQoa9ZuSrTdpKmzpVrl8vLjqA+ld/eO8tFXY0yAzt63436RgX26ybiRH5ig3ktDP5XIqCjb9RGRUTL597kmwPbzd5+a8d3sOWrA7omH+sonw7+X0PMXTCbmV99OkGefvN8EG5MzZdpcqVenuoz/9kOpXbOKDPtkpHz81Vjpc3dHGffN++Lt7S2ffT3uxrgioqRZo3oy4uM3TPCwZtWK8tKbn8ily1fM9d+PeN/8HPrykzJr8re25YR+/WOeTJ2xQJ55fKD8NOojqVW9srz4xicmA9WeBipffPohGf3lO3L+4iX5ZmzG16DkDAqZpnblMuJ5KUjiwrwk6lCAXF6RXwr/20gGluvj6qEBgAMPDw8JDs5lu+gyAAAAkF21v6OFbNy8wwTRjhw9IQcPHZU2LZs4bKNZipo99+pzg6Rm9UpSqUJZeeuVp83U5/UbHRu+ahZhwQL5ZPnqDRIXpwHEFdKpXeIAZlLW/rvV/Kxbq6r5qYHHpKZVa5ae1iwsVaKo3Ne7izSuX0d+mz7fYRsNRLZoWl/Kli5hMhlFLLJo6Srb9deuxZpsw+pVKkiZUsXl9Nlzt3yOvbt3kMoVy8oHn38n734yUhrdVks63Xnz59as0W3StWMbk8H4QN+75eKlK9K4fm1p2qielC5VXO65u6PJ/NRgq9L716xIDXDq8xv82ADJlStI1m7YYq7Plze3+RkcFCQF8ue1LSc0edpcGXhvN5O5qo+jgUfNhvxj9mKH7R57sI95vhXLlzbPTzMfMxpTqpGpdRzrVi4r/4zTb0Cun7zv9L0osdfixcv3Ruo0AAAAAABwHg0ONqhX0wQGr14NN9OZtR6gPQ1E+vh4m6xDK512W7RwiBw5dlIa3lYrUZbjvEXLJCgoQHy8vaVe7Wopnk7dtnVT2ywiDTj+NHm6XLh4SfLny2vbzjo12kqnAv+1cq3DuuqVb2zj5+srFcqVdmhC4+fna4J6qXmOmmzw+ouPS9+HX5AAfz/5ZNhLt3xO5cuVsv2eL18e81ODoLZ1efOY6dthYRGmBqRmXv4wYaqsXrfZPO+4uDiJjomR02fPS0qFhUfI+QuXpGb1yrZ1Ovaa1SrJ4WOOjXjs94EGMDUgmtEIOCJTNapVUf7Zus+2HB1zTbbsOSINazp+kAAAAAAAkB0U8MsvlXOn75w2v2++ZK/z8/JzuH99vLTQDMTRP04xU4jf/t/1GoHp0f6O5jJm/G+mBmHHO1umaFaQ1hnUWpIaYPt12jzb+rj4eJm/ZIX0632XOJO/n2+abrdv/2EzXVwzEjU4d6tGLfb1J637wdv7RsjNumviLdczHLUz+L+bd8hTj94nxYsWNsHSF9/8WGJjYyUjOIxFPJzSPOeWj5nhjwAkqOOY0Npt+wg4AgAAAACyJW3gkpomLqlVNriUjG70Rbrvp3njevLpiO8lMCDANp3Znk7J1SnIu/YcsGUXai3AU2dCzXTkhDQbsVH92iaAqDUSU2LhnyulSOEQ+eDN5xzW/7VirWlCYx9wTFivccfu/VKmpOM4duzZb6YKK80Q3H/wiK0xTlJS8hw1wPjhl2PkkYG95MjRk6Ye45ivhjkE7dJr2869poZmy6YNzPKVq2FyNkHdRW9vL9sU7KQEBwWabMVtO/aY2o1KA4l6362aXb9fVyLgiExVs2IpCfDzlcjoGNu6ddscP0QAwNX0G9cZ0/+wLXe/u4d42X1rCQAAAGQ3GjD77cevTLpdUtmIWktQG5losO3lIY+In5+PjPhuopQvW1Lq162R5H2+8+pgiY6OMdOEU0Kb1bRp0chhiq/KFRwkP076Q7bv3Cs1ql0PIOr07Cl/zJOmDevK6rUbZc36TfLtF+843G7azIVSvGghUzvx5ykzzbo7WzdL9vFT8hy12UuJYkWk/z1dJTIySgY8/orpBD3oAef1nyhRvIgsW7lOmjSoKxZLvIweNyVRo0qd5r1+0zYTGNVp4LlzJd7HfXt2lvG/TJdiRQubfTp9zmI5feac3H3XneJqBByR6XUc61UtK6s277Gt27T7kEnBTmuqMwBkhJt9mwgAAABkR9oR+ma0duGXo36SF974yDSDua1OdZO9mNx0aa2RqJeU2L3voMlAfP2FxxJdp3UUtbGLNo+xBhzv69XFZO+NGf+rCba9/Myjpo5jwmYoP/0yQ/YfOiKlSxSTj995KVFtytQ8x9kL/pINm7fLT99+ZAKAur/efOkJefbVD0zg0zq29BoyaIC8//loeey5oaYhzP1975ZLV646bPP0oP7y9XcTZcbcPyWkYD6ZNuHrRPfTp0cnCY+IlC9HjTdZkhp0/Oy9lyWkQNqm3TuThyUzJm67oR+mLjU/+3dPWRcmdxAWFi6TJkyRfgPvleDgoDTfz3dTF8sXE+Y4rBv/3lPSpLZz3rhAWsTGxYu3l+M3SsjZGY5/TPvdttyjZ69sneHI8Q13xvENd8bxDXeWHY/vUSPGmJ9PDtFuyMhIPQcOlr49u0ivbu2TvP7U6VDpdf8Q+fm7TxJlS2YFFoslRTUts+Nx7ueTsvOi7PXuhluw1Wv0sohvsSgJbnBRvjj2pUw4OMXVQwMAAAAAAEA6MaUama5GhVIS6O8jufodEK+gOLPunFySdec2ysBy97p6eAAAAAAAAEgHAo7IdD7eXnJbtQqy4+wx8SobaVu/+8o+iYyNlADvAJeODwAAAAAAuE5S9QrtFS0SIqsWTs608SD1mFINl02rjj7hWMg1zhIn2y/vdtmYAAAAAAAAkH4EHOESjWtVlJjjiTMZN1/Y5pLxAAAAAAAAwDkIOMIlqpUvIb5huSQ+2rFr05aL2102JgAAAAAAAKQfNRzhEt5eXlK/WgXZdvKo+FPHEQAAAACQQ4SFhUvo2VCJjooWP38/CSkUIsHBQa4eFuBUBBzhMo1qVpQNm9c4BBy1juO2S7ukYcF6Lh0bAAAAAADOYrFYZP++A7Jy+WrZunm7xMfH267z9PSUWnVqSPOWTaVCxfLi4eE4ExDIjgg4wmUa1aooX85xbByjtlzcRsARgEvpP32NmzRxWAYAAADSIiIiQsaNnSD79uxP8noNPm7euNVcKlauIA89OlACAwMzfZyAM3EGBZepWra4+EfmSVTHcTN1HAG4mH6rXLJkKduFb5kBAACQ1mDj8M9H2oKNkbmj5XidM7Kz4wHZ1m2v+anLul7pdrq93i4rmLvob+nU+9GbbvPNmIny9EvDMmwMp06HSrP2feXg4WMZ9hhwPjIc4TJeXp6mjuOWk4cd6zhepo4jAAAAACD7T6PWzMbTp86IRSxyos5ZuVDmsojdd9mx/nFyoexlsz7/4TxSfHMhs73e7qkhjznli+/zFy7JT5Ony5r1myX03AXJnStYShYvIh3vbCntWjcXX1+fZG/btlUTadqwTroef+OWnTL45Xdty/ny5pZa1avIU4/eJ8WLFr7l7QuFFJBZk7+VPHlypfgx3/vsW4mMjJL333wuzeNG+hBwhEs1rllB1m1c5RBwjJd42XZppzQseJtLxwYAAAAAQFppzUZrZqMJNpa9nPzGHmK7vsTmwuZ2B/YdlAqVyqdrDCdOnZEnnn9bChcqKEMeGyClSxYXTw8P2XvgsEyfs9gE/OrWqpbkbWNjY8XPz9dcnOG38V+Jv5+fnD57Tr4cOV5eHvqpTBj9iUlGuhm9vkD+vE4ZAzIPAUe4VMOaFSVmVuI6jjqtmoAjAAAAACC70gYxSqdLm8zGFNDtChzMKwFX/Mzt0xtw/PzrcVKwQD757st3HOqSlyheRNq0bGyyMK3TlnvdP0SGvTZEfp+5UHbtPSBDX35KIqOiZeTYiTJv6ljbbX/6Zbr8NmOBXLt2Tdq1aSbe3ikLLeXLm0cCA/xN8HDI4wNMIPT4ydNSumQx85i//jFPzp47LyWKFZFHBvaW1i0aOYzt5+8+kXJlStoyJod/9Lp8PWaiHD9xWmpUrShvvPSEhBTMLz/8/LvMX7zc3FanYquvP3lTalarJCO+myDLVq6TsLAIs1/u6dFRenfrkK59jKQRcIRLVSlbTAKj8kp89Gnx9LvRpWvzxW0uHReAnE0Ldy/7a6lt+fbWbWgcAwAAgBQLCws33ajV+XKXHKZR35TH9e01y3HL5m3mfoKDg9I0hstXrsq6jdvk7f89nez/sgmnbI/+cYoMGTRAypcrJf5+vrJm/RaH6xf/tUrGT54uLw5+2AT5Zs9fKjPnL5XKFcqkamx+vr62LMq/VqyVb8ZOlOeefMBkW+ry0A+Gy/cj3pfKFcsmex8aWHzx6YfE399P3vn4G3Mf77w6RPr26iKHj56Q6OgYeeXZ6/UndRr51BkLZNU/G+W9N56VwiEF5OTpULOPkDEIOMKl9EOvQfUKsvHEYfEvd6Mo7p7L+yUiNkICvenMBSDz6Te958+fd1gGAAAAUir0bKj5EltdKRqWqtua7TcXNrc/F3ouzQHH4yfPmP9jS5UoalsXGRUld/V53LY84N7ucn/f7rble3t0lhZN6yd7n1NnLpRune6Qzu1ameWnB/WXtf9uTdW4NMinwULNRixVoph8Mvx76dL+dnO/SsezdccemTxtrgmWJuexB/tIzeqVzO+9u3eQ7ydMNb9rFqVOA9f9Zz8V+0zoOZPZWat6ZRNoLVI4JFXjRuqQrgGXa1izgkQfd5xWrXUct1/a5bIxAQAAAACQVtFR17tOqzjfuFTdNs7nxuy/KLv7cQatoTh+1EfmUrRIIZNhaK9KpXI3vf3RYyelWuUKDuuqV3FcTk7Xex+Xtt0ekE69B8mZ0POmoYuPj7ccOXZSalav7LBtrWqV5MixEze9P51ebaWBxYuXrtx0+w5tW8je/Yel7yMvyFff/iT//peBioxBhiNcrlHNihI940bA0RLrIQViC4uXh5dLxwUAAAAAQFr4+fvZfveK8TLdqFPK69qN3DCdLpxWJYoVNpl8GtCrVOH61GRd1iw/pcG+hALS8Xi3MvrLd8Tf31/y57teyzG97GtHeojHLWclVa1UXqb+NFz+Wb9Z1m/cJq+8/bnpwv2/5waleyxIjAxHuFyl0kUlODqfXFmdT879XkROfVdK4pdUlNsK1HH10AAAAAAASLWQQiG2uom5TwWn6rbW7fX2BUMKpnkMeXLnkgb1asqkqbMlLu5G1mR6lCpZTHb+13nbKuFycooVLWyCoAmDjdo0ZtuOPQ7rtu7cK2VKFU/zOH28vW1T2u3lCg6SO1s3k9deeFz+9+wgmbd4eZLbIf0IOMLl9EO0YfUKErYhr8ScDBCJ85Rdh07I5bAbNR0BAAAAAMgutO5irTo1zO/adVpSWhLc8t/2IlK7Ts0012+0euHph+Tc+Yvy2LNDZcXqDXL0+CnTUGXOwr9M9+fUNkbs2bWdzJq/1HSB1vsa+f0kOXXmXLrGeG/PzjJn4TKZOe9POXbilEyYMkPW/bvF1JNMK63PuP/gUTPGS5evmKnjU/6YJ0uWrTEZn0eOnpAVa9ZLyeJFaA6ZQZhSjSyhUa2KsmjNjUKzmgq9fvsBadu4pkvHBQAAAABAWjRv2VQ2b9wqAVf8JP/hPHKh7OVb3ka30+2tt08vzSj8cdSHMmHyDBk+eoKEnr8gvr6+Ur5MSXloQE/p1vF6o5aUat+muZw8dVa+HvOzXIuNM1OStYHM/oNH0jzG1i0ayfkLl+TnKTPli5E/SoliRWTYa8/ctEP1rXTt2EY2bd0pDz39mkRGRsnXn7xppov//OtMOXHytHh5eZnak1pHEhnDw0LrzTT5YepS87N/9+udmXKCsLBwmTRhivQbeG+6v2VJaN+RU9Ll6Y8c1g3s2kpef7SHUx8HSE5sXLx4e/HNFq6Li4uTP6b9blvu0bOX+acku+L4hjvj+IY74/iGO8uOx/eoEWPMzyeHpKzmn4ZbRo74Tvbt2S8WsciJOmflQpnLWnAwiY2vBxuLby5k6hFWrFxBnhrymKm5iOzHYrFk29fuVse5n0/Kzouy17sbbqtCqSKSP49jXYt121JWBwIAAAAAgKxGA04PPTpQihQtbIKIJTYXlopLS0v+Q3nEO8pLPOI8zE9d1vV6vW5XtFgRc7vsGrACFFOqkSXoB2nDGhVkwarNtnW7D52Qi1fCJV9u52ZTAgAAAACQGQIDA+WZF56ScWMnmExHnS6tgUXRSxI0s1GDjXo7IDsj4IgsVcfRPuAoHhaZteVvaXtbXSkeWNSVQwMAAAAAIE00eKjTow/sOygrl6+WLZu3OXRG1qYl2iBGazaWr1iOzEa4BbcJOGqL92/GTpLZC5dJTMw1aVS/lrz+/CDJmyd3om03bd0ln30zXk6dOStx8fFSomgRebh/D2nTspFLxo7rGtWsIOIVL0G1ropfiUjxLRYl46NGS+Txu+XxSg+6engAchD9J69KlSoOywAAAEBa6f+TFSqVNxftj3Au9JxERUWLv7+fFAwp6PQ+CYCruU3AcfzkGfL36g0yfuQHkjd3Lnnn01Ey9MNvZMRHryXatnTJYvLZsBelSOGCtgDk4P99IGVLF5eypUu4YPRQ5UoUlpDcecSrwTHx9L/xbc+Wi9tdOi4AOY9+y1yzVm1XDwMAAABuSIOLBBjh7twm4Dh9zhJ5ZGAv0/JdPTOov3QfMEROnQ6VokVCHLbNny+P7XdNY9YTS0u8RY6dOJ1swLHt3Q87LHfq0lXy5M6VIc8lR9dxrFlRVp/YLwHlI2zr917ZL+GxERLkTQ0LAAAAAACArM4tAo5Xw8Ll9NlzUrVSOdu6EsWLSFBQgOw9cCRRwNHq9rsekMioaImLi5N6tapK4/qpy2axWERi425k4rk7fa7W55xRz7t+9fKybI2/Q8AxXiyy+fx2aVSwfoY8JqDi4y0SKznn/YycheMb7ozjG+6M4xvuLDse3xaxiBbaseiJMXALlmx7nOiRnny8y8/HK+cEHMMjIs3P4CDHDLhcQUESHnEjcJXQstnjTb3H1es2yeFjJ8XLK/mdtmT6Dw7LP0xdan56e3lKTqHPVcuY6c+Met5NaleS6Kn+idZvubRNmhVumCGPCSj9ZycnvZ+Rs3B8w51xfMOdcXzDnWXH49vDhBup742UBRs9su1xcv1IT+/7M3u9u5MRFBhgfoaFOwYXr4aHS9AtWsn7+vrI7c0bysYtu2TGvD8zdJy4tTLFQiR/fIjERzoemqtD12XjbwcAZDdabmPjv//aLvZdBAEAAAAAOSDgmCs4SIoUKii79x20rTt+8oyEh0dKxfKlUnQfOq362PFTGThKpKaOY9SR60FkqxORp+RQ2BGXjQtAzqJfcBw4sN924QsPAAAA5ERzF/0tnXo/etNtvhkzUZ5+aVi67sNVIiKjpFn7vrJxy05XD8XtuMWUanV3l7by0+SZUr9ODcmTO1i+HjNJmjSoLcWKFEq07Z/L/5HSJYpJmdLFTaBx3qLlsmHTdhnQp6tLxg5HjWtWlCXzl0tglXCH9SvOrpFyucq4bFwAAAAAAGQ35y9ckp8mT5c16zdL6LkLkjtXsJQsXkQ63tlS2rVubmZ+JqdtqybStGGdTB0v3IPbBBwf6Ntdrl4Nk4FPvCrXrl2TRrfVkndfG2yum79khXzwxRhZMe9ns3zu/CX5Zuwvcu78RfHx8ZbSJYvJ+288I43r13Lxs4BqVKuiRI8OkPhrHuLpcyOraPnZ1XJ/+b4uHRsAAAAAANnFiVNn5Inn35bChQrKkMcGSOmSxcXTw0P2Hjgs0+csluJFC0vdWtWSvG1sbKz4+fmaC5J37VqsiS3BkdvsES8vT3n2iYHmklDHti3MxarP3R3MBVlTySIFpEje/BJ1JFQCKtyoy3kw7IgcDz8pJYKKuXR8AAAAAABYab3vlJbg0TJinp6O1e30tqmpGX6zhrcJff71OClYIJ989+U7Do9bongRadOysW3cp06HSq/7h8iw14bI7zMXyq69B2Toy09JZFS0jBw7UeZNHWu77U+/TJffZiwwyV7t2jQTb++UhZb+WrFWvv1hsoSev2Bmp772wmOSL28ec50+/3ETp8nsBX/J5StXpVyZkjJ4UH9bMFSnZScch45z8rQ5Mm3C12b5vc++lcjIKKlUoaz8Nn2+WdetUxsZ9EAf222OHDspH305RnbvPWj2wZOP3JcoyPrJ8O/l3y075MLFy1K0cIjc26OTdO10h20bnT5eoVxps+8WLV0l1atWkIL588mly1flo7dfsG0XFRUtXfs+Ia8+/5i0btFIchq3CTjCfegH8B2Na8q0vccdAo7WadV9y/Z02dgAAAAAALC3a9dO2bljR4q2zZs3r9zZrr3DulMnT8qqVStT/Hi977kRQLsZDdyt27hN3v7f04mCnFYJOymP/nGKDBk0QMqXKyX+fr6yZv0Wh+sX/7VKxk+eLi8OflhqVK0os+cvlZnzl0rlCmVuWStx8rS5Zizq4+Hfy/ufj5bP3n3FLP/6xzyZOmOBvPLso1K+TEmZPneJvPjGJzJl3BcSUjC/pNT6jdvM9qM+f0v27Dskwz4ZKbVrVJFG9WuboOZrw76QQiEFZOyId83++XLUTw63j4uPN9mg773xrOTJnUs2bdkpn309TgoXDjEzaa3mLFwmvbq2l+++ul678srVMHnqxXfk4qUrki9vbrPu71XrxNvbS5o3vk1yIrdoGgP307F5XYk6HCiWOMf1Oq0aAAAAAADcnDbT1Sy8UiWK2tZFRkVJ224P2C4/TZ7hcJt7e3SWFk3rm34Y+fPlTXSfU2culG6d7pDO7VqZ8nRPD+pvmvimZNrxi08/KNWqVDCX/z33qKxZt1mO/te8V4ORA+/tZrIuS5cqLs88PlCKFC4of8xenKrnnDdPbnNbHZtmX1avUsHWEEaDkcdPnpY3X3rCZCjeVqeGPDygl8Pt/Xx9zbqqlcqbfdC5/e1yx+1NZOnyfxy20/t//KF7zb7ViwZfSxQrIguX3ggcz1u0XNq1aZ5jp1vnzGeNLK9e1bJSMDivRB89K/5lI23rd1/ZJ2ciQ6VwQIhLxwcAAAAAQHbj7+cn40d9ZH5/ddgXZgqxvSqVyt309kePnTSZffY0qKeBvJvx9fGRiuVvZEFWqVjOBOKOHD0h+fPlMY1talav7JB5WbNaJTl87ESqnl/Z0iUcsjYL5M8nFy9dtk2n1inS9oFUDRQmNG3WIpm7cJmcPhsqMTHX5FpsbKI6lzr+hLq0v13mL/rbTME+E3peNm7dIU8N6ic5FQFHZEma7t2haR35/cAJh4CjWhG6RnqVoqM4AAAAAMD1qlatJlWqVE3RtgmnMKuixYpJj56OmXbOUKJYYfN4GmjTuobWx9fahSqpzLsAfz/JirTRTcIymbFxcYmDXN6O9S11d8ensL6mWrJstYz8fpJpsFOtcnkJDAiQcZOmydnQ87fcTx3atjBT0nUq9+p1m6R82VJSyS7ImtMwpRpZVofmdST6YKBYEtTOXXGGadUAAAAAgKyTMKONXFJySaqWogYBU3r71DSM0RqEDerVlElTZ0tcXMqb0txMqZLFZOee/Q7rEi4nJebaNdl34LBtec/+Q2aatU6fDg4KlAL588q2HXts1+tU8G0790rZUsXNct68uSUsPFyiY2Js2+w/eCRVY9dp0KfOhNoyHtX2Xfscttm6Y4+p+di9c1sTpNXg7LETN8/etNIGOM0a3SZzFy2TBUuWS+d2t0tORsARWXpadYHAfBJzwt9h/enIUImOi3bZuAAAAAAAyA5eePohOXf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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:mom-solution\n", + "\n", + "# Figure 3: Method of Moderation Success\n", + "plot_precautionary_gaps(\n", + " truth_solution=IndShockTruthSol,\n", + " approx_solutions=IndShockMoMApproxSol,\n", + " title=\"Figure 3: Method of Moderation Solves Extrapolation\",\n", + " subtitle=\"MoM Maintains Positive Precautionary Saving\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "d26d1fe0", + "metadata": {}, + "source": [ + "```{tip} Method of Moderation Success\n", + "MoM maintains positive precautionary saving when extrapolating far beyond its computed grid, matching high-precision truth.\n", + "```\n", + "\n", + "MoM builds on EGM's computational efficiency while enforcing theoretical bounds. See [the paper's algorithm](../content/paper/moderation_letters.md#the-method-of-moderation).\n", + "\n", + "(notebook:algorithm)=\n", + "\n", + "```{hint} MoM Algorithm Details\n", + ":class: dropdown\n", + "\n", + "MoM steps (notation matches the paper):\n", + "1. Solve standard EGM for realist consumption at gridpoints\n", + "2. Transform to $\\logmNrmEx = \\log(\\mNrm - \\mNrmMin)$\n", + "3. Compute $\\modRte(\\logmNrmEx) = (\\cFuncReal - \\cFuncPes)/(\\cFuncOpt - \\cFuncPes) \\in [0,1]$ (Eq. {eq}`eq:modRte`)\n", + "4. Apply logit: $\\logitModRte = \\log(\\modRte/(1-\\modRte))$\n", + "5. Interpolate $\\logitModRte(\\logmNrmEx)$ with derivatives\n", + "6. Reconstruct: $\\cFuncReal = \\cFuncPes + \\modRte \\cdot (\\cFuncOpt - \\cFuncPes)$\n", + "\n", + "This ensures bound compliance via asymptotically linear extrapolation, as derived in the paper. HARK uses **cubic Hermite interpolation** {cite:p}`Fritsch1980,FritschButland1984` for accuracy; see {cite:p}`Santos2000,JuddMaliarMaliar2017` on function approximation and error bounding.\n", + "```\n", + "\n", + "```{note} The Transformation\n", + "The logit maps $\\modRte \\in (0,1)$ to $\\logitModRte \\in (-\\infty, +\\infty)$ and becomes asymptotically linear with positive slope $\\logitModRteMu > 0$ as wealth increases.\n", + "```\n", + "\n", + "### Figure 4: MoM Consumption Function\n", + "\n", + "[](#fig:mom-consumption-function) ({ref}`Figure 4 ` in the paper) shows MoM consumption between optimist and pessimist bounds, plus a **tighter upper bound** derived from $\\MPCmax$ near the borrowing constraint {cite:p}`Carroll2001MPCBound,MaToda2021SavingRateRich,CarrollToche2009`. The cusp intersection is given by {eq}`eq:mNrmCusp`." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "6e36abb5", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:06.696351Z", + "iopub.status.busy": "2026-01-18T23:37:06.696269Z", + "iopub.status.idle": "2026-01-18T23:37:06.787576Z", + "shell.execute_reply": "2026-01-18T23:37:06.787317Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:mom-consumption-function\n", + "\n", + "# Figure 4: MoM Consumption Function\n", + "plot_consumption_bounds(\n", + " solution=IndShockMoMApproxSol,\n", + " title=\"Figure 4: MoM Consumption Function\",\n", + " subtitle=\"MoM Consumption Respects Theoretical Bounds\",\n", + " m_max=3.0,\n", + " show_tight_bound=True,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "3bcdf687", + "metadata": {}, + "source": [ + "**Bound Preservation**: MoM consumption stays within theoretical bounds and below tight bound.\n", + "\n", + "### Figure 5: Direct Method Comparison\n", + "\n", + "[](#fig:direct-comparison) compares EGM and MoM precautionary gaps against the high-precision truth. Both approximations use identical 5-point sparse grids; the difference in extrapolation behavior is attributable solely to the method." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "5ad82668", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:06.788826Z", + "iopub.status.busy": "2026-01-18T23:37:06.788733Z", + "iopub.status.idle": "2026-01-18T23:37:06.882887Z", + "shell.execute_reply": "2026-01-18T23:37:06.882664Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:direct-comparison\n", + "\n", + "# Figure 5: Direct Method Comparison\n", + "plot_precautionary_gaps(\n", + " truth_solution=IndShockTruthSol,\n", + " approx_solutions=[IndShockEGMApproxSol, IndShockMoMApproxSol],\n", + " title=\"Figure 5: Direct Method Comparison\",\n", + " subtitle=\"EGM vs MoM Extrapolation Performance\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "14f6583a", + "metadata": {}, + "source": [ + "```{important} The Decisive Advantage\n", + "Given identical sparse grids, EGM produces negative precautionary saving while MoM maintains positive values matching the truth.\n", + "```\n", + "\n", + "## Method of Moderation Framework\n", + "\n", + "### Figure 6: Moderation Ratio Function $\\modRte(\\mNrm)$\n", + "\n", + "::::{admonition} Definition: The Moderation Ratio\n", + ":class: note\n", + "\n", + "The **moderation ratio** (Eq. {eq}`eq:modRte`):\n", + "\n", + "$$\n", + "\\modRte(\\mNrm) = \\frac{\\cFuncReal(\\mNrm) - \\cFuncPes(\\mNrm)}{\\cFuncOpt(\\mNrm) - \\cFuncPes(\\mNrm)} \\in (0,1)\n", + "$$\n", + "\n", + "This ratio is strictly between 0 and 1 due to prudence {cite:p}`CarrollKimball1996`. At $\\modRte = 0$ the realist behaves like the pessimist (maximum precautionary saving); at $\\modRte = 1$ like the optimist (no precautionary saving). [](#fig:moderation-ratio) plots this ratio across wealth levels.\n", + "::::" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9907d9e4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:06.884073Z", + "iopub.status.busy": "2026-01-18T23:37:06.884004Z", + "iopub.status.idle": "2026-01-18T23:37:07.026853Z", + "shell.execute_reply": "2026-01-18T23:37:07.026605Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:moderation-ratio\n", + "\n", + "# Figure 6: Moderation Ratio Function\n", + "plot_moderation_ratio(\n", + " solution=IndShockMoMApproxSol,\n", + " title=r\"Figure 6: Consumption Moderation Ratio $\\omega(m)$\",\n", + " subtitle=\"Wealth-Dependent Moderation Between Bounds\",\n", + " m_max=50,\n", + " grid_type=GridType.CONSUMPTION,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "6341eff3", + "metadata": {}, + "source": [ + "```{note} Economic Interpretation of $\\modRte(\\mNrm)$\n", + "$\\modRte \\to 1$ at high wealth (approaches optimist), $\\modRte \\to 0$ at low wealth (approaches pessimist). This monotonic pattern ensures proper economic behavior across the wealth distribution.\n", + "```\n", + "\n", + "### Figure 7: The Logit Transformation\n", + "\n", + "::::{admonition} Definition: The Logit Transformation\n", + ":class: note\n", + "\n", + "The **logit transformation** (Eq. {eq}`eq:chi`) maps the bounded ratio to an unbounded space:\n", + "\n", + "$$\n", + "\\logitModRte(\\logmNrmEx) = \\log\\left(\\frac{\\modRte(\\logmNrmEx)}{1 - \\modRte(\\logmNrmEx)}\\right)\n", + "$$\n", + "\n", + "where $\\logmNrmEx = \\log(\\mNrm - \\mNrmMin)$. As [](#fig:logit-transformation) shows, $\\logitModRte$ is nearly linear, making it well-suited for interpolation.\n", + "::::" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "020fc707", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.028077Z", + "iopub.status.busy": "2026-01-18T23:37:07.027999Z", + "iopub.status.idle": "2026-01-18T23:37:07.175894Z", + "shell.execute_reply": "2026-01-18T23:37:07.175658Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:logit-transformation\n", + "\n", + "# Figure 7: Logit Transformation Function\n", + "plot_logit_function(\n", + " solution=IndShockMoMApproxSol,\n", + " title=\"Figure 7: Logit Transformation for Stable Extrapolation\",\n", + " subtitle=\"Unbounded Transformation for Stable Extrapolation\",\n", + " m_max=50,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "4a27effb", + "metadata": {}, + "source": [ + "```{important} Why Asymptotic Linearity Matters\n", + "As $\\logmNrmEx \\to \\infty$, $\\logitModRte$ becomes linear with slope $\\logitModRteMu > 0$. This prevents extrapolation errors, ensures smooth convergence to the optimist bound, and maintains numerical stability.\n", + "```\n", + "\n", + "```{note} Properties of $\\logitModRte(\\logmNrmEx)$\n", + "Unbounded domain $(-\\infty, \\infty)$, monotonically increasing, asymptotically linear. $\\logitModRte > 0$ indicates behavior closer to optimist; $\\logitModRte < 0$ closer to pessimist.\n", + "```\n", + "\n", + "## Function Properties and Bounds\n", + "\n", + "### Figure 8: MoM MPC Bounded by Theory\n", + "\n", + "The **MPC** ($\\partial \\cNrm / \\partial \\mNrm$) is bounded between $\\MPCmin$ (optimist) and $\\MPCmax$ (at the borrowing constraint), as detailed in {ref}`the paper ` and Eq. {eq}`eq:MPCModeration` {cite:p}`Carroll2001MPCBound`. [](#fig:mpc-bounds) confirms MoM respects these bounds.\n", + "\n", + "```{tip} Policy Applications\n", + "Bounded MPC estimates prevent nonsensical policy multipliers in DSGE models. MoM ensures economically meaningful MPCs for policy analysis.\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e153f250", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.177096Z", + "iopub.status.busy": "2026-01-18T23:37:07.177015Z", + "iopub.status.idle": "2026-01-18T23:37:07.266632Z", + "shell.execute_reply": "2026-01-18T23:37:07.266397Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:mpc-bounds\n", + "\n", + "# Figure 8: MoM MPC Bounds\n", + "plot_mom_mpc(\n", + " solution=IndShockMoMApproxSol,\n", + " title=\"Figure 8: MoM MPC Bounded by Theory\",\n", + " subtitle=\"MoM MPC Stays Within Theoretical Bounds\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "a5f65ba0", + "metadata": {}, + "source": [ + "```{hint} MPC Economic Interpretation\n", + "MoM MPC declines with $\\mNrm$: poor consumers spend windfalls immediately (MPC $\\to \\MPCmax$), wealthy consumers save them (MPC $\\to \\MPCmin$), reflecting diminishing marginal utility.\n", + "```\n", + "\n", + "### Figure 9: Value Functions Bounded by Theory\n", + "\n", + "The **value function** $\\vFunc(\\mNrm)$ is also bounded by optimist and pessimist solutions {cite:p}`Aiyagari1994,Huggett1993`. [](#fig:value-functions) compares truth, EGM, and MoM value functions." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "d27138d9", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.267807Z", + "iopub.status.busy": "2026-01-18T23:37:07.267729Z", + "iopub.status.idle": "2026-01-18T23:37:07.367118Z", + "shell.execute_reply": "2026-01-18T23:37:07.366899Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:value-functions\n", + "\n", + "# Figure 9: Value Functions\n", + "plot_value_functions(\n", + " truth_solution=IndShockTruthSol,\n", + " title=\"Figure 9: Value Functions Bounded by Economic Theory\",\n", + " subtitle=\"Value Function: True Solution vs Sparse Approximations\",\n", + " egm_solution=IndShockEGMApproxSol,\n", + " mom_solution=IndShockMoMApproxSol,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "f5fc2771", + "metadata": {}, + "source": [ + "```{note} Value Function Interpretation\n", + "Both approximations use 5 sparse grid points. MoM stays closer to truth while respecting bounds. The optimist-pessimist gap represents the **cost of uncertainty**.\n", + "```\n", + "\n", + "```{hint} Economic Insight\n", + "Uncertainty matters most at low wealth where buffers are small; the optimist-pessimist gap narrows with wealth as assets provide natural insurance.\n", + "```\n", + "\n", + "### Figure 10: Inverse Value Functions $\\vInv(\\mNrm)$\n", + "\n", + "The **inverse value function** $\\vInv(\\mNrm) = \\uFunc^{-1}(\\vFunc(\\mNrm))$ gives the consumption equivalent of lifetime utility. It is more linear than $\\vFunc(\\mNrm)$ near the borrowing constraint, making it better suited for interpolation. [](#fig:inverse-value-functions) compares the three solutions." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "7eb91668", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.368402Z", + "iopub.status.busy": "2026-01-18T23:37:07.368305Z", + "iopub.status.idle": "2026-01-18T23:37:07.456973Z", + "shell.execute_reply": "2026-01-18T23:37:07.456703Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:inverse-value-functions\n", + "\n", + "# Figure 10: Inverse Value Functions\n", + "plot_value_functions(\n", + " truth_solution=IndShockTruthSol,\n", + " title=\"Figure 10: Inverse Value Functions\",\n", + " subtitle=\"Inverse Value Function: Consumption-Equivalent Utility\",\n", + " inverse=True,\n", + " egm_solution=IndShockEGMApproxSol,\n", + " mom_solution=IndShockMoMApproxSol,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "28b61f6c", + "metadata": {}, + "source": [ + "```{note} Inverse Value Function Interpretation\n", + "The inverse transformation converts utility to consumption units: $\\vInv(5) = 0.8$ means 5 units of wealth provides lifetime utility equivalent to consuming 0.8 forever. HARK uses this more linear representation for interpolation.\n", + "```\n", + "\n", + "### Figure 11: Value Function Moderation Ratio\n", + "\n", + "MoM applies to any bounded function. The **inverse value function moderation ratio** (Eq. {eq}`eq:valModRteReal`):\n", + "\n", + "$$\n", + "\\valModRte(\\mNrm) = \\frac{\\vInvReal(\\mNrm) - \\vInvPes(\\mNrm)}{\\vInvOpt(\\mNrm) - \\vInvPes(\\mNrm)}\n", + "$$\n", + "\n", + "follows the same pattern as the consumption ratio, as shown in [](#fig:value-moderation-ratio)." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "cd3738b6", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.458287Z", + "iopub.status.busy": "2026-01-18T23:37:07.458199Z", + "iopub.status.idle": "2026-01-18T23:37:07.554878Z", + "shell.execute_reply": "2026-01-18T23:37:07.554649Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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UOupwaQ0WRU/50MpGDRv1fgBQlRE4AgAAAADgJBoe6vDoXTt2y6IFS2Td2g12XZG1YYk2iNE5G5u3aEZlI4BqgcARAAAAAAAn0hAxsmVzc9J58Y/FHJPk5BTx9vaS0LBQ5scHUO0QOAIAAAAAUE40XCRgBFDd0TQGAAAAAAAAgMMQOAIAAAAAAABwGAJHAAAAAAAAAA5D4AgAAAAAAACg5jWN+XvOYpk+42/ZsWuf6ea1fPa0QpffvG2XvDbuU9m194CEhtSSO268Qoaf27/cthcAAAAAAACoiapMhWNggJ9cftFQeXDMDUUuGx+fKGMff0UG9e8pc2d8Lk88cJu8+u4nsn7T9nLZVgAAAAAAAKCmqjIVjr3O6mzOV67dVOSycxYuF28vL7nh6ovFxcVFzu7eUc7p20N+/n22dGzXskTrzcoSSc3MKvV2VzdpmVmih0PPOS6A86Xre86F9xpQHni/AeWL9xyqmkzJMhU7WfolsQqqCtu9d/8huf+JV2TaZ++It7dXhW7LPY+8KK1bNpN7bruuUjxOZd+uilpHRayrvN9v9xRz34pa7oXXP5CWkU3k6ssuKGKNWZIpBWdhXtUtcCwJHXbdqkUTEzZatG7RVGb+s7DQ+w255Ba7y8NHXCSZPv5yzuJEp21rVeOekihNTmbIt/8lSrrXmeMLwDn03ymbjzIATsT7DShfvOdQ1bQ8lSndglwlMaOit6Rq+PX3WTL9x9/lxMlYad6ssYy58wZp1bJ5off58PPvZOTF50umh5c5zm++85H88+8Cc5u7u5uEh4XKkEH95JqrLhY3Nzenbv/TTz0g7m5uZX6+S/I4Dz/+orSMbCa331pwsKRBUHqmlHm7HPU45XEMK8v+VJTMXPtW0OukqGNw5VUj5YFHnpfBQweKn69vgevLyBJZFZsp3xSQha0aFFhzA8eEpCTx97M/eAH+fpKQWLrgsAr8EFRuLMdCzzkuQPngvQaUH95vQPniPYcqhddrsc1bsFQ+/uQrGXvPzdK6VaT89Muf8uT/XpPJk96WoKD8w4ro6GOyYsVauW+MfSFQzx5d5IF7b5P0jAzZsHGLvDvhE3Fzd5NrrrzYqfsQGOBfqR6nKirrvqelpYuHR7WMrSpEo4b1pUH9OjJ33hIZMXxI4Qs7IPOpls+cn4+PHD4abXddXHxCoQmumv3zZ3aXP5s+R06mZfHLqw3LsdBzjgvgfFR/AOWH9xtQvnjPocop7PWalSGSlVn8B3LN9VVc76uPUay7u4q4lLy6T4O6qCPR8sYrT9mvOitLLrrsJrn3rptk6LkDxBF+/HmmDD9/kJx37jnm8n333CL/rVwrs2YvkCsuG5HvfeYvXCaRkU2kVq0gu+s9PDwkJCTY/D14YF9Zv2GLLFu+yho4ZmZmynfTf5WZf82RU7GnpWGDenLD9VeYoFItWLRcpn7zoxw+fFR8fLykRWRTefn5x8TV1bXQ23JXkellrdTMyMiQ2XMWmWncbrvlWunRvbOMe+9TWbFqnUSEh8qD990hbVpHWrff9nEKW59Wc+q+6emHn/8w950yebzUiQjLc6zSM9JlwgeTZc68xeb4XDpymF0AW9QxscjIzJSJk6bKrNnzxcfbW66+8iK5aMRQc9vy/9bIt9/PkH37D4qbm6u0b9da7r7jBgkPq22tYP3uh9/kq88n2I0ufeixF8x+3XnbqDzHMCUlVT6Z/LXMX7BMEpOSpW3rFnL3naOlaZNG1mPVrGkj8++D7lubVpHy0vOPSkkVtZ5l/602x/uHbz82275p8zZT+XfjqCvl2qtHmmWeffFtqV+3Tp4qwtLcN7OI56OoY22rqNdJYc+p6nlWV3NcigwcHZD5VMvAsUXzxjJv8Qq767bt3Cstmzcu8WMFu7vIvD6FB5U1SUJ8lkzb5ibje/iKnz/HBXC29IxMcXerMv29gCqN9xtQvnjPoaqZtMbVzOHom0/W57L/L3E9kP3lv0h+DSWj8xP29z+xUVy3fFSsu2c2vECyGhU1B5u9nbv3y9//zJNJ41/MZ/tdpFGDurJv7748t02Z9otMnTaj0MeeOulNqRMealeVtnPnHrnp2pFnHs/NVc7q0l62b9uR7/FTWzZvk7Ytm9nd7u6SfbK9zs/LUzLS063Xffn9rzJ33mJ5/P7bpF7dcFm5ZqO88Mq78vG7L0hIrSB59Y335e5brpH+vc+ShMQkWb1uk7nviZMnC7zN1TW7w66765l16+W//5kvo666WD577yWZOWu+vDv+E+naua0MHdRX7r75Kvn48+/krXcmyjefvmUN4SyPk3iq8PU9dPdoiTocJZHNG8tN115q7hscFCi5R45btuOSC4bIp+NflA1btsvb730uTetHyKD+Zxd5THQOP8vjzPpnnlx/1cXy6YQXZdGy1fLBR1/K2V3aSZNG9SUrLUWuu/wCad60oSQkJMlHn0+T1994Tya+85y5/3kDzjbB1s6t26RT+9bmuuiY47Jx0za57/brs/cr1zH8+ItvZNmyVfLsY2MktHYt+eKbn+WpZ163ztlp2TdtGPzxu8+b+xT0esnNdl1FreesDq0kISFBovYfkMhmjWTLpi0SFOgvmzdtEV+3kSaE37Rpm1x8/jl51l+a+35ZxPNR1LG23bfCXidFPaeqQ6um8s13P4tnVrq4u+cfCbq5iHQPdpVJZczCqkzgmJGRaVL89LR0czklNdWce3p42KXpamC/HjJh0lcyZdqvcs1lw2XNhi0yd+Fy+eDN/5V4vfrQnq789GqR6uoiejg8XF04LkA5cM1yEXfea0C54P0GlC/ec6hqXHNKHHN//8y+TmO74r2es0zlUK5lXVyKfX9z1xKWHn37w+/SsV0raVPAHIo69FXnWsy9XZdccK4M7t+r0McOCw2xu19sXJypsqpdK9jueg3/Nhw+mu/xU0eij0m7NpH2t1tH2LmYIGfztl3y95xFMuL8gea61NQ0E4i+/+b/pE2r7H1rUK+OrF63WX77a45ceP4gU5GoTWQtFWBaoKR0fwu6LXud2au3bI+etYpsKqOvzq4kvPn6y+Wb6b9Lw/p15bxBfc111191kdx679Ny7PhJa3Wa5XGKWp9OA6fDh328vExIVhB9vPp1wmVMTmOQxo3qy7Yde+X7n/+UwQN6FXlMHr73ljP70+LM/lx7eT2Z9uMfsnbDFmnauIF5LFuP3XebXH7DWIk5dsLsmz6fZ3XtILPnLZHOHdqYZWbPX2qG7FrWa3sMtdJwxsx/5ZlHx0jP7p3M7U89dKdcOuoe+WfuYrlo+GCzfOOG9eTOm68pcP8LOy66rqTklCLXo6/3yGaNzb7qc7B2w1bTSGXKtBnmtbtn70GJT0gw+5X79VrS+6YW4/ko6ljbHsfCXidFPadK76PbdCo2zrx3CziaJrwsa+ZTZQLHmf8skOff+NB6uc/515vzX795X45GH5exj78i0z9/V+pEhJonYPyrT8jr4z+Tj7/4zhzQJx64rcQdqgEAAAAAqMp07sOFy1bJLaMut173whsfSJ+eXa1BR2JiskSEnalStAgM9Den8qBFRZ6ennmuX7hkpQy5+EZThKSBzrkDe8stoy4ztx08fESSU1Lk3kdftLtPWnq6dO3UzgRDXTq2lVF3PiZnd+8kPbt3lIF9e4qfn2+htxVEK9osPD09zLLNcoIcFRKcPfT75KnTeYbDlmZ9BWlrM2RbtW/bwoRpxTkmtpo3PbM/KjSkltl2deBQlHzy5XTZvHWnnDodZ53QT/MXy74NHdRHJnw0Re6/+0bTHEa3YejA3vlu86HDRyU9PcME3xZabdiieRPZe+Cw9brWLZqV+HiUZj0aCK5Zv0UuufBc2bB5uzzxwO3y219zZduOPWaf9dhotpSfktz3YDGej+Ic6+Iq7DlVXl7Z7zHdJmerMoHjheefY075qVcnXBbOnGp3XbvWkTJl4qvltHUAAAAAgJoqq+EwyWhwXjGXzqdqqFZ7yeg9vph3dy1xAJOYmCTNmzS0Dnmet+g/a1WeBpJ7DxwyIwVz+/JbHVL9S6GP/9Unb9kNqQ4ODBQ3V1c5cSrWbjmt8AuplR3I5Sc4MEDi4hLyXK9VdA9ooOXhboqJNNiy0Go29fbLj5uKSlsarOh8eBNef0rWb9ouy1euMxWJn075QSa//7LZlsJuy4/tui0VZW42w1ItxXCZ+cznWdS2OEpRx6Sw/dGXplaSqkefecsM/33iwTskNCTYVCjeOvZpE5RZ9O/dXd4Y96msWL1B6kWEyY5d++Slp+4v0/b7eHtJeejSsY28Pu4TExLWCg40wV6XDm1MNeCmLTutVZtlvW9SMZ6P4hzr4irsOVWnc95jOgzb2apM4AgAAAAAQKWkTVxK0cjFvhGMc+Y0jU9INOe+vj7mfOHSlaaphjYbUf+tXCdJScnSt1f3PPfVeQIH58wLWJDcwzp1uKcO69QQqu/Z3axNM1at3SRXjhxW4OOYCrT9B/Ncr9VpOkw3Pzovna5P5w60zCOYmzZk6dyhtTndfP1lMuKqO2T5yvUy7Nz+hd7mDEWtT+fU0yrOoujQclubtuwwQ5GLe0yKEns6TvYfPCxPPXSHtG+bPVJ02Yq1eZbTpiT9enWT2XOXSEREqBmyX9BzVb9ehLi7u8n6TduslbX6Otyxa2+eIcVlUdz16LGJPR0vP/02y4SFqnPHNjJnwTLZsm2XPHrfbQWuo6j7PjL2VuuyRT0fxT3Wtor7OsnP3n0HpW5EWIHVm45E4AgAAAAAQDUVYeaAczHDXV1dXWTSF99Jz24dZcGSFeLt5SnjP5oq557T2xpYOWJI9VWXXiAvvzXRBI9tW0Wa+QWTk1Nk+NCCg7we3TrImxM+M+GkBnPF4efrI1ddMlzGTZxihlxrYKPz5+m8euGhIaZrtDbo0MeuFRRortdwtVHDerJp684Cb3OG4qxPgyBd7sjRGBO06nyB+R2LQ1FHZeJn38oF550jG7dsN8N5n3rormIdE0tjmcJ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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:value-moderation-ratio\n", + "\n", + "# Figure 11: Value Function Moderation Ratio\n", + "plot_moderation_ratio(\n", + " solution=IndShockMoMApproxSol,\n", + " title=r\"Figure 11: Value Function Moderation Ratio $\\Omega(m)$\",\n", + " subtitle=\"Value Function Moderation Between Bounds\",\n", + " m_max=10,\n", + " grid_type=GridType.VALUE,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "396c0ff5", + "metadata": {}, + "source": [ + "```{hint} Value Function Moderation Interpretation\n", + "$\\valModRte \\to 1$ at high wealth (low uncertainty cost), $\\valModRte \\to 0$ at low wealth (high uncertainty cost). The pattern confirms uncertainty's welfare cost diminishes with wealth.\n", + "```\n", + "\n", + "### Figure 12: Cusp Point Visualization\n", + "\n", + "The **cusp point** (Eq. {eq}`eq:mNrmCusp`) is where optimist and tighter upper bounds intersect:\n", + "\n", + "$$\n", + "\\mNrmCusp = \\mNrmMin + \\frac{\\MPCmin \\cdot \\hNrmEx}{\\MPCmax - \\MPCmin}\n", + "$$\n", + "\n", + "Below the cusp, the tighter bound ($\\MPCmax$ slope) constrains; above, the optimist bound constrains. See `IndShockMoMCuspConsumerType` for the three-piece implementation." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "918552b4", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.556281Z", + "iopub.status.busy": "2026-01-18T23:37:07.556182Z", + "iopub.status.idle": "2026-01-18T23:37:07.662817Z", + "shell.execute_reply": "2026-01-18T23:37:07.662572Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:cusp-point\n", + "\n", + "# Figure 12: Cusp Point Visualization\n", + "plot_cusp_point(\n", + " solution=IndShockMoMApproxSol,\n", + " title=\"Figure 12: Cusp Point and Upper Bound Envelope\",\n", + " subtitle=\"Where Optimist and Tighter Bounds Intersect\",\n", + " m_max=8,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "838a93de", + "metadata": {}, + "source": [ + "```{hint} Cusp Point Interpretation\n", + "Below cusp: MPC near $\\MPCmax$, tighter bound constrains. Above cusp: behavior approaches optimist ($\\MPCmin$), optimist bound constrains. The envelope is the minimum of both bounds.\n", + "```\n", + "\n", + "## Further Extensions: Stochastic Rate of Return\n", + "\n", + "With i.i.d. returns, {cite:t}`Samuelson1969` and {cite:t}`Merton1969,Merton1971` show the consumption function remains linear for consumers without labor income. MoM extends directly by substituting the stochastic-return MPC {cite:p}`BBZ2016SkewedWealth,CRRA-RateRisk`. Serially correlated returns remain for future research.\n", + "\n", + "### Figure 13: Stochastic Returns Comparison\n", + "\n", + "[](#fig:stochastic-bounds) compares bounds under deterministic and stochastic returns using `IndShockMoMStochasticRConsumerType`." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "ffc6a8cc", + "metadata": { + "execution": { + "iopub.execute_input": "2026-01-18T23:37:07.664064Z", + "iopub.status.busy": "2026-01-18T23:37:07.663951Z", + "iopub.status.idle": "2026-01-18T23:37:07.767221Z", + "shell.execute_reply": "2026-01-18T23:37:07.766924Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# | label: fig:stochastic-bounds\n", + "\n", + "# Solve model with stochastic returns (mean-preserving spread)\n", + "stoch_params = params.copy()\n", + "stoch_params[\"RiskyAvg\"] = params[\"Rfree\"][0] # Same mean as Rfree (scalar)\n", + "stoch_params[\"RiskyStd\"] = (\n", + " 0.20 # 20% standard deviation (must satisfy β*E[R^{1-ρ}] < 1)\n", + ")\n", + "\n", + "IndShockStochR = IndShockMoMStochasticRConsumerType(**stoch_params)\n", + "IndShockStochR.solve()\n", + "IndShockStochRSol = IndShockStochR.solution[0]\n", + "\n", + "# Figure 13: Stochastic Returns Comparison\n", + "plot_stochastic_bounds(\n", + " solution=IndShockStochRSol,\n", + " title=\"Figure 13: Deterministic vs Stochastic Return Bounds\",\n", + " subtitle=\"Effect of Return Uncertainty on Consumption Bounds\",\n", + " m_max=10,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "ed705043", + "metadata": {}, + "source": [ + "```{hint} Stochastic Returns Interpretation\n", + "Deterministic optimist uses $\\MPCmin = 1 - (\\DiscFac \\Rfree)^{1/\\CRRA}$; stochastic optimist uses $\\MPCmin = 1 - (\\DiscFac \\Ex[\\Risky^{1-\\CRRA}])^{1/\\CRRA}$. Return uncertainty raises MPC and narrows the feasible region. See {ref}`stochastic-returns-mgf-derivation` for the MGF derivation.\n", + "```\n", + "\n", + "## Summary\n", + "\n", + "MoM solves the extrapolation problem by interpolating a **moderation ratio** via an asymptotically linear **logit transformation**, ensuring solutions respect theoretical bounds by construction.\n", + "\n", + "**Key Advantages**:\n", + "\n", + "* **Theoretical Consistency**: Prevents negative precautionary saving.\n", + "* **Numerical Stability**: Robust solutions via bounded transformations.\n", + "* **Computational Efficiency**: Builds on EGM with minimal overhead.\n", + "\n", + "For complete theoretical development see {ref}`the-method-of-moderation`." + ] + } + ], + "metadata": { + "jupytext": { + "formats": "ipynb,md" + }, + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/content/exports/appendix_letters_pdf_tex/main.bib b/content/exports/appendix_letters_pdf_tex/main.bib index d487431..7b89f02 100644 --- a/content/exports/appendix_letters_pdf_tex/main.bib +++ b/content/exports/appendix_letters_pdf_tex/main.bib @@ -145,4 +145,3 @@ @article{TauchenHussey1991 title = {Quadrature-{Based} {Methods} for {Obtaining} {Approximate} {Solutions} to {Nonlinear} {Asset} {Pricing} {Models}}, volume = {59}, } - diff --git a/content/exports/moderation_letters_pdf_tex/main.bib b/content/exports/moderation_letters_pdf_tex/main.bib index cefb2a2..f3ce94c 100644 --- a/content/exports/moderation_letters_pdf_tex/main.bib +++ b/content/exports/moderation_letters_pdf_tex/main.bib @@ -334,4 +334,3 @@ @article{BBZ2016SkewedWealth title = {Skewed {Wealth} {Distributions}: Theory and {Empirics}}, volume = {56}, } - diff --git a/content/exports/moderation_with_appendix_pdf_tex/main.bib b/content/exports/moderation_with_appendix_pdf_tex/main.bib index 6d7ee2a..78babca 100644 --- a/content/exports/moderation_with_appendix_pdf_tex/main.bib +++ b/content/exports/moderation_with_appendix_pdf_tex/main.bib @@ -392,4 +392,3 @@ @article{TauchenHussey1991 title = {Quadrature-{Based} {Methods} for {Obtaining} {Approximate} {Solutions} to {Nonlinear} {Asset} {Pricing} {Models}}, volume = {59}, } - diff --git a/reproduce.sh b/reproduce.sh index 0724415..85a320f 100755 --- a/reproduce.sh +++ b/reproduce.sh @@ -13,7 +13,7 @@ SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)" detect_platform_venv() { local platform="" local arch="" - + # Detect platform case "$(uname -s)" in Darwin) @@ -41,7 +41,7 @@ detect_platform_venv() { return ;; esac - + echo "$SCRIPT_DIR/.venv-$platform-$arch" } @@ -77,7 +77,7 @@ echo "" # Execute computational notebook echo "Step 4/5: Executing computational notebook..." -uv run jupyter nbconvert --to notebook --execute --inplace code/notebook.ipynb +uv run jupyter nbconvert --to notebook --execute --inplace code/method-of-moderation.ipynb echo "✓ Notebook executed successfully" echo "" @@ -92,8 +92,8 @@ fi if [ -f "content/exports/moderation_with_appendix.pdf" ]; then echo "✓ Paper+Appendix PDF: content/exports/moderation_with_appendix.pdf" fi -if [ -f "code/notebook.ipynb" ]; then - echo "✓ Executed notebook: code/notebook.ipynb" +if [ -f "code/method-of-moderation.ipynb" ]; then + echo "✓ Executed notebook: code/method-of-moderation.ipynb" fi echo "" diff --git a/reproduce_min.sh b/reproduce_min.sh index 5b150d4..3b65e30 100755 --- a/reproduce_min.sh +++ b/reproduce_min.sh @@ -13,7 +13,7 @@ SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)" detect_platform_venv() { local platform="" local arch="" - + # Detect platform case "$(uname -s)" in Darwin) @@ -41,7 +41,7 @@ detect_platform_venv() { return ;; esac - + echo "$SCRIPT_DIR/.venv-$platform-$arch" } diff --git a/requirements.txt b/requirements.txt index d29f824..5bd2ba3 100644 --- a/requirements.txt +++ b/requirements.txt @@ -12,6 +12,7 @@ mystmd>=1.7.1 numba>=0.59.0 numpy>=2.0.2 scipy>=1.15.3 +sympy>=1.12 voila>=0.5.8 # Git dependency (installed via uv from pyproject.toml) diff --git a/uv.lock b/uv.lock index 57aa8a0..617b53d 100644 --- a/uv.lock +++ b/uv.lock @@ -1469,6 +1469,7 @@ dependencies = [ { name = "numba" }, { name = "numpy" }, { name = "scipy" }, + { name = "sympy" }, { name = "voila" }, ] @@ -1497,6 +1498,7 @@ requires-dist = [ { name = "numba", specifier = ">=0.59.0" }, { name = "numpy", specifier = ">=2.0.2" }, { name = "scipy", specifier = ">=1.15.3" }, + { name = "sympy", specifier = ">=1.12" }, { name = "voila", specifier = ">=0.5.8" }, ] diff --git a/you-are b/you-are deleted file mode 120000 index 832b1f0..0000000 --- a/you-are +++ /dev/null @@ -1 +0,0 @@ -/Volumes/Sync/GitHub/llorracc/HAFiscal-dev/conversations/you-are/ \ No newline at end of file