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genpark-nash-equilibrium-lemke-howson-bimatrix-skill

mcp
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SUMMARY

Exact mixed-strategy Nash equilibrium solver for two-player strategic bimatrix normal-form games

README.md

Nash Equilibrium Bimatrix Solver Skill

Exact solver computing pure and mixed-strategy Nash equilibria in 2-player strategic normal form games.

flowchart TD
    Payoff["Bimatrix Payoffs (A, B)"] --> BestResponse["Check Pure Best-Response Crossings"]
    Payoff --> Indifference["Solve Marginal Indifference Equation System"]
    BestResponse --> PureEq["Pure Nash Equilibria List"]
    Indifference --> MixedEq["Mixed Strategy Vector (p, 1-p) & (q, 1-q)"]

Features

  • 100% Python Standard Library: Analytical solving of linear indifference equations.
  • Pure & Mixed Detection: Simultaneously returns all pure saddle points and mixed solutions.
  • MCP Server Ready: Direct stdio integration for multi-agent game orchestration.

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