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We show that every Bayesian game with purely atomic types has a measurable Bayesian equilibrium when the common … equilibrium. We show that our smoothness condition also rules out two paradoxes involving Bayesian games with a continuum of types …
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A sender designs an information structure to persuade a receiver to take an action. The sender is ignorant about the receiver's prior, and evaluates each information structure using the receiver's prior that is the worst for the sender. I characterize the optimal information structures in this...
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