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

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Author Info
Takahashi, Satoru

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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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File URL: http://www.sciencedirect.com/science/article/B6WFW-4R29FM9-1/1/e8f810ddf47745e8a3ab7dc0b1140ecb
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Publisher Info
Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 63 (2008)
Issue (Month): 1 (May)
Pages: 328-340
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Handle: RePEc:eee:gamebe:v:63:y:2008:i:1:p:328-340

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. Mathevet, Laurent, . "A contraction principle for finite global games," Working Papers 1243, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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