Persuasion with Multiple Actions

Abstract

We consider a Bayesian persuasion model in which multiple receivers take one action each. We compare simultaneous procedures with sequential ones. In a simultaneous procedure, all the receivers act simultaneously following the realization of a single public signal. In a sequential procedure, receivers receive information and take actions sequentially. We characterize the conditions under which the optimal sequential procedure leads to a higher payoff and characterize the optimal ordering of actions.