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: | Salonen Hannu |
Keywords: | Nash equilibrium |
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.