On the existence of Nash equilibria in large games

On the existence of Nash equilibria in large games

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Article ID: iaor20104464
Volume: 39
Issue: 3
Start Page Number: 351
End Page Number: 357
Publication Date: Jul 2010
Journal: International Journal of Game Theory
Authors:
Keywords: Nash equilibrium
Abstract:

We study the existence of Nash equilibria in games with an infinite number of players. We show that there exists a Nash equilibrium in mixed strategies in all normal form games such that pure strategy sets are compact metric spaces and utility functions are continuous. The player set can be any nonempty set.

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