On the existence of Nash equilibria in large games - UTU Research Portal

A1 Refereed original research article in a scientific journal

On the existence of Nash equilibria in large games

Authors: Salonen H

Publisher: SPRINGER HEIDELBERG

Publication year: 2010

Journal: International Journal of Game Theory

Journal name in source: INTERNATIONAL JOURNAL OF GAME THEORY

Journal acronym: INT J GAME THEORY

Number in series: 3

Volume: 39

Issue: 3

First page : 351

Last page: 357

Number of pages: 7

ISSN: 0020-7276

DOI: https://doi.org/10.1007/s00182-009-0180-7

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.