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- W3122106614 abstract "We offer a definition of iterated elimination of strictly dominated strategies (IESDS) for games with (in)finite players, (non)compact strategy sets, and (dis)continuous payoff functions. IESDS is always a well-defined order independent procedure that can be used to solve Nash equilibrium in dominance-solvable games. We characterize IESDS by means of a stability criterion, and offer a sufficient and necessary epistemic condition for IESDS. We show by an example that IESDS may generate spurious Nash equilibria in the class of Reny's better-reply secure games. We provide sufficient/necessary conditions under which IESDS preserves the set of Nash equilibria. Nous donnons une definition de l'elimination iterative des strategies qui sont strictement donimees (EISSD) pour les jeux avec un nombre fini (ou infini) de joueurs , des ensembles de strategies compactes (ou non-compactes), et des fonctions de gains continues (ou non-continues). Le processus EISSD est bien defini et independant de l'ordre d'elimination. Nous donnons une caracterisation du processus EISSD en utilisant un critere de stabilite et offrons une condition epistemologique. Nous demontrons que le processus EISSD peut produire des equilibres faux dans la classe des jeux de meilleures reponses securitaires de Reny. Nous donnons des conditions necessaires et suffisantes pour que le processus EISSD conserve l'ensemble des equilibre de Nash." @default.
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- W3122106614 date "2007-02-01" @default.
- W3122106614 modified "2023-09-27" @default.
- W3122106614 title "Iterated Strict Dominance in General Games" @default.
- W3122106614 hasPublicationYear "2007" @default.
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