A Program for Finding Nash Equilibria

John Dickhaut and Todd Kaplan

Chapter 7 in Economic and Financial Modeling with Mathematica®, 1993, pp 148-166 from Springer

Abstract: 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.

Keywords: Nash Equilibrium; Mixed Strategy; Pure Strategy; Dominant Strategy; Probability Weight (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-2281-9_7

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DOI: 10.1007/978-1-4757-2281-9_7

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