A Unified Approach to Equilibrium Existence in Discontinuous Strategic Games
AbstractSeveral relaxations of Nash equilibrium are shown to exist in strategic games with discontinuous payoff functions. Those relaxations are used to extend and unify several recent results and link Reny's better-reply security condition [Reny, P.J. (1999). On the existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games] to Simon-Zame's endogenous tie-breaking rules [Simon, L.K. and Zame, W.R. (1990). Discontinuous Games and Endogenous Sharing Rules].
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Date of creation: Jun 2012
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Discontinuous games; Nash equilibrium; Reny equilibrium; better-reply security; endogenous sharing rule; quasi equilibrium; finite deviation equilibrium; symmetric games.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-07-23 (All new papers)
- NEP-GTH-2012-07-23 (Game Theory)
- NEP-HPE-2012-07-23 (History & Philosophy of Economics)
- NEP-MIC-2012-07-23 (Microeconomics)
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