Title

Core Theory with Strongly Convex Preferences

Document Type

Discussion Paper

Publication Date

1-1-1981

CFDP Number

578

CFDP Pages

17

Abstract

We 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 [13]. 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 [8]. The proof, which is based on our earlier result for economies with more general preferences [2], is elementary.

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