Acta mathematica scientia, Series B >
NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES
Received date: 2008-12-21
Online 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.
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
José C.R. Alcantud . NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1535 -1540 . DOI: 10.1016/S0252-9602(11)60339-1
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