Two equivalence results for two-person strict games
AbstractA game is strict if for both players, different profiles have different payoffs. Two games are best response equivalent if their best response functions are the same. We prove that a two-person strict game has at most one pure Nash equilibrium if and only if it is best response equivalent to a strictly competitive game, and that it is best response equivalent to an ordinal potential game if and only if it is best response equivalent to a quasi-supermodular game.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 71 (2011)
Issue (Month): 2 (March)
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Web page: http://www.elsevier.com/locate/inca/622836
Strictly competitive games Ordinal potential games Quasi-supermodular games Best response equivalence Strict games;
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