We obtain conditions on the primitives of a Bayesian game with infinitely many types and/or strategies that ensure the existence of a perfect Bayes-Nash equilibrium. The main existence results are illustrated in the context of all-pay auctions.

The notion of communication equilibrium extends Aumann's [3] correlated equilibrium concept for complete information games to the case of incomplete information. This paper shows that this solution concept has the following property: for the class of incomplete information games with compact...

We furnish conditions on the primitives of a Bayesian game that guarantee the existence of a Bayes-Nash equilibrium. By allowing for payoff discontinuities in actions, we cover various applications that cannot be handled by extant results.

We argue that the rise of antidumping protection and the proliferation of voluntary export restraints are fundamentally inter-related. We show that both can be explained by a cost-based definition of dumping when the domestic government has incomplete information about the foreign firm's costs....