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A Program for Finding Nash Equilibria

In: Economic and Financial Modeling with Mathematica®

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  • John Dickhaut
  • Todd Kaplan

Abstract

We describe two-player simultaneous-play games. First, we use a zero-sum game to illustrate minimax, dominant, and best-response strategies. We illustrate Nash equilibria in the Prisoners’ Dilemma and the Battle of the Sexes Games, distinguishing among three types of Nash equilibria: a pure strategy, a mixed strategy, and a continuum (partially) mixed strategy. Then we introduce the program, Nash . m, and use it to solve sample games. We display the full code of Nash . m; finally, we discuss the performance characteristics of Nash . m.

Suggested Citation

  • John Dickhaut & Todd Kaplan, 1993. "A Program for Finding Nash Equilibria," Springer Books, in: Hal R. Varian (ed.), Economic and Financial Modeling with Mathematica®, chapter 7, pages 148-166, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-2281-9_7
    DOI: 10.1007/978-1-4757-2281-9_7
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