A Program for Finding Nash Equilibria

Todd Kaplan and John Dickhaut

Working papers from University of Minnesota, Department of Economics

Abstract: We describe two-person simultaneous play games. First, we use a zero sum game to illustrate minimax, dominant and best response strategies. We illustrate Nash Equilbria in the Prisoner's Dilemma and the Battle of the Sexes Game, and distinguish 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 the games. We display the full code of Nash.m, and finally we discuss the performance characteristics of Nash.m.

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