“…The recent literature on information design and Bayesian persuasion (Kamenica and Gentzkow, 2011;Bergemann and Morris, 2019;Koessler, Laclau, and Tomala, 2021b) has given new interpretation and applications to splitting games: choosing a splitting amounts to choosing an information structure, and information design considers optimization problems or games over information structures. In Koessler, Laclau, Renault, and Tomala (2021a), we consider a zero-sum splitting game between two information designers who provide information to a decision maker, and where u(p, q) represents the expected payoff induced by the action chosen by the decision maker who has belief (p, q).…”