Cooperative Solutions for Large Economies with Asymmetric Information

A proof of the existence of private core allocations is provided for an exchange economy ε where consumers and commodities are both infinite in number, supposing however that only finitely many types can be distinguished among traders. It is obtained passing through the E dgeworth equilibrium notion considered for a suitably associated discrete setting. For this setting a preliminary result—which is interesting in itself—is proved: in every discrete economy E with asymmetric information and unequal numbers of traders with the same characteristics there is a private core allocation which treats agents of the same type equally.