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

## Author Info

• Lin Zhou

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## 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

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File URL: http://hdl.handle.net/10.1007/s00199-004-0560-y

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## Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 26 (2005)
Issue (Month): 2 (08)
Pages: 301-308

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Handle: RePEc:spr:joecth:v:26:y:2005:i:2:p:301-308

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## Related research

Keywords: Nash equilibrium; Revealed preferences.;

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## Citations

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Cited by:
1. Indra Ray & Susan Snyder, 2003. "Observable Implications of Nash and Subgame-Perfect Behavior in Extensive Games," Working Papers 2003-02, Brown University, Department of Economics.

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