Competitive Information Design

Abstract

We study games between n information designers, each of whom can perform an experiment about a piece of information, the pieces being independent. They aim at persuading a decision maker to take their most preferred action. For such games with discontinuous payoffs, we show that there exists a mixed (subgame perfect) equilibrium. We show by example that the equilibrium strategies may require an infinite number of messages. We characterize the equilibrium distributions of actions for rectangular games where the optimization problem of the decision maker is separable across designers. (joint with Frédéric Koessler et Tristan Tomala)