There is a connection between the problem of Bayesian persuasion (an informed agent aims to induce desirable behavior of uninformed ones by tailoring the information available to them) and feasibility questions for measures with given marginals. We will discuss the two problems, their connection, and related open questions.
The talk is based on two papers:
"Feasible Joint Posterior Beliefs" with Itai Arieli, Yakov Babichenko, and Omer Tamuz
and "Private Private information" with Kevin He and Omer Tamuz.