数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1535-1540.doi: 10.1016/S0252-9602(11)60339-1

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NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES

José|C.R. Alcantud   

  1. Facultad de Econom´?a y Empresa, Universidad de Salamanca Campus Miguel de Unamuno E 37007 Salamanca, Spain
  • 收稿日期:2008-12-21 出版日期:2011-07-20 发布日期:2011-07-20
  • 基金资助:

    This research was supported by Ministerio de Ciencia e Innovaci´on under Research Project ECO2009-07682, and by Junta de Castilla y Le´on under the Research Project SA024A08 and GR-99 Funding.

NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES

José|C.R. Alcantud   

  1. Facultad de Econom´?a y Empresa, Universidad de Salamanca Campus Miguel de Unamuno E 37007 Salamanca, Spain
  • Received:2008-12-21 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    This research was supported by Ministerio de Ciencia e Innovaci´on under Research Project ECO2009-07682, and by Junta de Castilla y Le´on under the Research Project SA024A08 and GR-99 Funding.

摘要:

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.

关键词: Nash equilibrium, choice rules, continuity, Kakutani’s theorem

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

中图分类号: 

  • 47H10