Games of Incomplete Information, Ergodic Theory, and the Measurability of Bayesian Equilibria

Abstract:

This paper discusses the difference between Harsanyi and Bayesian equilibria for games of incomplete information played onuncountable belief spaces. A conjecture belonging to ergodic theory is presented. If the conjecture were valid then there would exist a game played on an uncountable belief space with a common prior for which there are Bayesian equilibria but no Harsanyi equilibrium.

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