On the Existence of Approximated Equilibria and Sharing-Rule Equilibria in Discontinuous Games
AbstractNew relaxations of the Nash equilibrium concept are shown to exist in any strategic game with discontinuous payoff functions. The new concepts are used (1) to show the equivalence between Reny's better-reply security condition  and Simon-Zame's endogenous tie-breaking rule equilibrium concept , (2) to obtain conditions for the existence of approximated equilibria in a class of discontinuous games that naturally extends Reny's better-reply secure games, and (3) to show the existence of approximated equilibria in a large family of two-player games that contains all standard models of auctions.
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Date of creation: 18 Jul 2013
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Discontinuous games; better-reply security; sharing-rule equilibrium; approximated equilibrium; strategic approximation; auctions; diagonal games.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-07-28 (All new papers)
- NEP-GTH-2013-07-28 (Game Theory)
- NEP-HPE-2013-07-28 (History & Philosophy of Economics)
- NEP-MIC-2013-07-28 (Microeconomics)
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