p.1283

Strong Core Theorems with Nonconvex Preferences

Robert M. Anderson

Abstract

It is known that in large economies with strongly convex preferences, the commodity bundles agents receive at core allocations are near their demand sets.Without convexity, it is known that agents' bundles need not be near their demand sets, although these bundles will satisfy a weaker condition. In this paper, we show that for almost all sequences of economies constructed by successive sampling from any distribution of agents' characteristics, agents' bundles will be close to their demand sets.