Title: Ergodic Theory and Games of Incomplete Information Speaker: Robert Simon Abstract: There is a connection between ergodic theory and the equilibria of games where the players hold private information and the possibilities of what they can know are uncountably infinite. These are like games of poker, but with infinitely many cards. The knowledge of the players can correspond to measure preserving transformations, and the group of these transformations can act on any equilibrium in a way so that they cannot be measurable. We explore what is known so far in the last ten years and where this line of research may go in the future.