Finite potential games have Nash equilibria in pure strategies.This note provides some results on the existence of equilibria or approximate equilibria if some players have infinite sets of strategies.

This paper introduces a simple extensive form pricing game.The Bertrand outcome is a Nash equilibrium outcome in this game, but it is not necessarily subgame perfect.The subgame perfect equilibrium outcome features the following comparative static properties.The more similar firms are, the...

A class of non cooperative games characterized by a `congestion e ect' is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy pro les maximizing the potential function coincide.The structure of the...