Conditional Expectations of Correspondences

Abstract

We characterize the properties of convexity, compactness and preservation of upper hemicontinuity for conditional expectations of correspondences. These results are then applied to obtain a necessary and sufficient condition for the existence of pure strategy equilibria in Bayesian games.

arXiv comment23 pages

References in corpus (1)

• Stationary Markov Perfect Equilibria in Discounted Stochastic Games