Econometrica: Nov 1981, Volume 49, Issue 6
Core Theory with Strongly Convex Preferences
Robert M. AndersonWe consider economies with preferences drawn from a very general class of strongly convex preferences, closely related to the class of convex (but intransitive and incomplete) preferences for which Mas-Colell proved the existence of competitive equilibria . We prove a strong core limit theorem for sequences of such economies with a mild assumption on endowments (the largest endowment is small compared to the total endowment) and a uniform convexity condition. The results extend corresponding results in Hildenbrand's book . The proof, which is based on our earlier results for economies with more general preferences , is elementary.
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