Mediated Cheap Talk Design

We study an information design problem with two informed senders and a receiver in which, contrast to traditional Bayesian persuasion settings, do not have commitment power. In our setting, trusted mediator/platform gathers data from the recommends which action play. characterize set of feasible distributions that can be obtained equilibrium, provide O(n log n) algorithm (where n is number states) computes optimal equilibrium for senders. Additionally, we show by simple revelation mechanism.