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 convergence to price equilibrium allocations. …

members of a coalition. We then define a concept of the Core that takes into account these communication possibilities. The … internal consistency of the improvements is considered and an Internally Consistent Core is introduced, that requires …

The ex ante incentive compatible core of an exchange economy with private information is the (standard) core of a … incentive compatible core can be empty, even if utility functions are quasi-linear. If, in addition to quasi-linearity, further … assumptions are made (like independent private values), the non-emptiness of the core follows nevertheless from d'Aspremont and …

apply them in the characterization of two solution concepts. One is Wilson's (1978) Coarse Core and the other is a … subsolution of it which we call the Coarse+ Core. …

We analyze the ex ante incentive compatible core for replicated private information economies. We show that any … allocation in the core when the economy is replicated sufficiently often is approximately Walrasian for the associated Arrow …

An appropriate (interim) notion of the core for an economy with incomplete information depends on the amount of … information that coalitions can share. The coarse and fine core, as originally defined by Wilson (1978), correspond to two polar … cases, involving no information sharing and arbitrary information sharing, respectively. We propose a new core notion, the …