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Core Theory with Strongly Convex Preferences

  • Robert M. Anderson

    (Princeton University)

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    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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    File URL: http://cowles.econ.yale.edu/P/cd/d05b/d0578.pdf
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    Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 578.

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    Length: 18 pages
    Date of creation: Jan 1981
    Date of revision:
    Handle: RePEc:cwl:cwldpp:578
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    Web page: http://cowles.econ.yale.edu/

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    Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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    1. Donald J. Brown & Abraham Robinson, 1972. "The Cores of Large Standard Exchange Economies," Cowles Foundation Discussion Papers 326, Cowles Foundation for Research in Economics, Yale University.
    2. DEBREU, Gérard, . "Smooth preferences," CORE Discussion Papers RP 132, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Dierker, Egbert, 1975. "Gains and losses at core allocations," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 119-128.
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