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Nash Equilibria in Pure Strategies

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Author Info
Abderrahmane Ziad (Centre de Recherche en Economie MathÈmatique et EconomÈtrie)

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Abstract

We consider an n-person non-zero-sum non-cooperative game in normal form, where the strategy sets are some closed intervals of the real line. It is shown that if the pay-off functions are continuous on the whole space and if for each pay-off function the smallest local maximum in the strategy variable is a global maximum, then the game possesses a pure strategy Nash equilibrium. Copyright Blackwell Publishers Ltd and the Board of Trustees of the Bulletin of Economic Research, 2003.

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Article provided by Blackwell Publishing in its journal Bulletin of Economic Research.

Volume (Year): 55 (2003)
Issue (Month): 3 (07)
Pages: 311-317
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Handle: RePEc:bla:buecrs:v:55:y:2003:i:3:p:311-317

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