On the Existence of Symmetric Mixed Strategy Equilibria

Becker, J.G.; Damianov, D.S

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.

Citation

Becker, J., & Damianov, D. (2006). On the Existence of Symmetric Mixed Strategy Equilibria. Economics Letters, 90(1), 84-87. https://doi.org/10.1016/j.econlet.2005.07.005

• Journal Article Type: Article
• Publication Date: 2006-01
• Deposit Date: Aug 27, 2013
• Journal: Economics Letters
• Print ISSN: 0165-1765
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 90
• Issue: 1
• Pages: 84-87
• DOI: https://doi.org/10.1016/j.econlet.2005.07.005
• Keywords: Symmetric equilibria; Mixed strategies; Existence
• Public URL: https://durham-repository.worktribe.com/output/1471416