Hellman, Ziv; Levy, Yehuda John - In: Theoretical economics : TE ; an open access journal in … 12 (2017) 3, pp. 1089-1120
We show that every Bayesian game with purely atomic types has a measurable Bayesian equilibrium when the common … yields this common knowledge relation and payoffs such that the resulting Bayesian game does not have any Bayesian … equilibrium. We show that our smoothness condition also rules out two paradoxes involving Bayesian games with a continuum of types …