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NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES

NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES
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摘要 The proposal in Alcantud and Alo′s-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. The proposal in Alcantud and Alo′s-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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1535-1540,共6页 数学物理学报(B辑英文版)
基金 supported by Ministerio de Ciencia e Innovación under Research Project ECO2009-07682 Junta de Castilla y León under the Research Project SA024A08 GR-99 Funding
关键词 Nash equilibrium choice rules CONTINUITY Kakutani’s theorem Nash equilibrium choice rules continuity Kakutani’s theorem
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参考文献26

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