On the existence of symmetric mixed strategy equilibria

By J. Becker, D. Damianov. 2006

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Abstract In this paper we provide a result ensuring the existence of symmetric mixed strategy equilibria in symmetric games. We apply the fixed point theorem of Glicksberg and Fan analogously to the way in which Moulin [Moulin, H., 1986. Game Theory for the Social Sciences, 2nd Edition. New York University Press, New York.] uses Kakutani's theorem to prove the existence of a symmetric equilibrium in pure strategies.

Subfields: Economics and Econometrics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/312c8eb81d0a29dfcf5dcd028c0d192eefee503a