This paper provides a general overview of the literature on the core of an exchange economy with asymmetric information. Incentive compatibility is emphasized in studying core concepts at the ex ante and interim stage. The analysis includes issues of non-emptiness of the core as well as core...

In a differencial economy with quasi-linear utilities, monetary transfers facilitate the fulfilment of incentive compability constraints: the associated ex ante core is generically nonempty. However, we exhibit a well-behaved exchange economy in which this core is empty, even if goods are...

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.