Persuasion with Multiple Actions

We consider a Bayesian persuasion model in which the receiver takes multiple actions. We compare a simultaneous procedure, in which the receiver takes all actions after the realization of a single signal, to a sequential procedure in which the receiver receives information gradually and takes the actions sequentially. We characterize conditions under which the sequential procedure leads to a higher payoff and when it achieves a maximal outcome despite potential information leakage. We also discuss the optimal ordering of actions