This is a brief survey describing some of the recent progress and open problems in the area of cooperative games with incomplete information. We discuss exchange economies, cooperative Bayesian games with orthogonal coalitions, and issues of cooperation in non-cooperative Bayesian games.

We consider an exchange economy under incomplete financial markets with purely financial securities and finitely many agents. When portfolios are not constrained Cass [4], Duffie [7] and Florenzano–Gourdel [12] proved that arbitrage-free security prices fully characterize equilibrium security...