On Existence of Nash Equilibria of Games with Constraints on Multistrategies

被引：0
|
作者：
C. Pensevalle
G. Pieri
机构：
[1] Universita' di Sassari,Dipartimento di Matematica e Fisica
[2] Universita' di Genova,Dipartimento di Scienze per l'Architettura
来源：
Journal of Optimization Theory and Applications | 2000年 / 107卷
关键词：
games; constrained multistrategies; Nash equilibria;
D O I：
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学科分类号：
摘要：
In this paper, sufficient conditions are given, which are less restrictivethan those required by the Arrow–Debreu–Nash theorem, on theexistence of a Nash equilibrium of an n-player game {1, . . . , Yn,f1, . . . , fn} in normal form with a nonempty closedconvex constraint C on the set Y=Πi Yi of multistrategies. Theith player has to minimize the function fi with respect to the ithvariable. We consider two cases.
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页码：601 / 613
页数：12
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