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The structure of the Nash equilibrium sets of standard 2-player games

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  • Lin Zhou

Abstract

In this paper I study a class of two-player games, in which both players’ action sets are [0,1] and their payoff functions are continuous in joint actions and quasi-concave in own actions. I show that a no-improper-crossing condition is both necessary and sufficient for a finite subset A of $[0,1]\times [0,1]$ to be the set of Nash equilibria of such a game. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Lin Zhou, 2005. "The structure of the Nash equilibrium sets of standard 2-player games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 301-308, August.
    • Handle: RePEc:spr:joecth:v:26:y:2005:i:2:p:301-308
    DOI: 10.1007/s00199-004-0560-y
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    Cited by:

    1. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
    2. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.

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    Keywords

    Nash equilibrium; Revealed preferences.;

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