On the existence of symmetric mixed strategy equilibria

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 Kakutaniʹs theorem to prove the existence of a symmetric equilibrium in pure strategies.