Revealed Preference Tests for Bayesian Persuasion

Abstract: When is random choice generated by a decision maker (DM) who is Bayesian-persuaded by a sender? In this paper, I consider a DM whose state-dependent preferences are known to an analyst, yet chooses stochastically as a function of the state. I proved necessary and sufficient conditions for the dataset to be consistent with the DM being Bayesian persuaded by an unobserved sender who generates a distribution of signals to ex-ante optimize the sender's expected payoff.