Fiche du document
18 juillet 2013
- handle: 10670/1.hkurpm
- hal: hal-00846143
info:eu-repo/semantics/OpenAccess
Mots-clés
diagonal games Discontinuous games better-reply security sharing-rule equilibrium approximated equilibrium strategic approximation auctions diagonal games. C - Mathematical and Quantitative Methods/C.C0 - General/C.C0.C02 - Mathematical Methods C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C62 - Existence and Stability Conditions of Equilibrium C - Mathematical and Quantitative Methods/C.C7 - Game Theory and Bargaining Theory/C.C7.C72 - Noncooperative GamesSujets proches
Amusements Children--Recreation Games for children Pastimes Primitive games Recreations Games, Primitive Children's gamesCiter ce document
Philippe Bich et al., « On the Existence of Approximated Equilibria and Sharing-Rule Equilibria in Discontinuous Games », HAL-SHS : économie et finance, ID : 10670/1.hkurpm
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Résumé
New 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 [28] and Simon-Zame's endogenous tie-breaking rule equilibrium concept [32], (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.