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The number of pure Nash equilibria in a random game with nondecreasing best responses

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  • Takahashi, Satoru

Abstract

We randomly draw a game from a distribution on the set of two-player games with a given size. We compute the distribution and the expectation of the number of pure-strategy Nash equilibria of the game conditional on the game having nondecreasing best-response functions. The conditional expected number of pure-strategy Nash equilibria becomes much larger than the unconditional expected number as the size of the game grows.

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  • Takahashi, Satoru, 2008. "The number of pure Nash equilibria in a random game with nondecreasing best responses," Games and Economic Behavior, Elsevier, vol. 63(1), pages 328-340, May.
    • Handle: RePEc:eee:gamebe:v:63:y:2008:i:1:p:328-340
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    Cited by:

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