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Mixed Strategy Dominance via MILP

A Python script that uses Gurobi to detect pure strategies dominated by mixed strategies in normal-form games. This tool performs Iterated Elimination of Dominated Strategies (IEDS) using MILP. To perform Iterated Elimination of Dominated Strategies (IEDS), particularly identifying when a pure strategy is dominated by a mixed strategy—a more nuanced form of dominance often ignored in basic IEDS.

Features

  • MILP formulation to detect mixed dominance
  • Iterative elimination of dominated strategies
  • Gurobi-powered optimization
  • Easily extensible for different matrix sizes

Requirements

  • Python 3.8+
  • Gurobi Optimizer with gurobipy
  • NumPy

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To perform Iterated Elimination of Dominated Strategies (IEDS), particularly identifying when a pure strategy is dominated by a mixed strategy—a more nuanced form of dominance often ignored in basic IEDS. {placeholder}

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