NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES

doi:10.1016/S0252-9602(11)60339-1

Abstract

Abstract:

The proposal in Alcantud and Al´os-Ferrer [1], where players that express their tastes according to choice rules facing a competitive situation, is further exploited here. We prove that, under lack of continuity of the choice rules it is also possible to ensure the existence of equilibrium. We shall appeal to general situations that are fulfilled by well-established models, where players have non-transitive preferences of various types.

Key words: Nash equilibrium, choice rules, continuity, Kakutani’s theorem

CLC Number:

47H10

José C.R. Alcantud. NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES[J].Acta mathematica scientia,Series B, 2011, 31(4): 1535-1540.

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