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Existence of Equilibrium in Incomplete Markets with Non-Ordered Preferences

  • Erkan Yalcin

    (Yeditepe University)

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    In this paper we extend the results of recent studies on the existence of equilibrium in finite dimensional asset markets for both bounded and unbounded economies. We do not assume that the individual's preferences are complete or transitive. Our existence theorems for asset markets allow for short selling. We shall also show that the equilibrium achieves a constrained core within the same framework.

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    File URL: http://128.118.178.162/eps/ge/papers/0204/0204002.pdf
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    Paper provided by EconWPA in its series GE, Growth, Math methods with number 0204002.

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    Date of creation: 16 Apr 2002
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    Handle: RePEc:wpa:wuwpge:0204002
    Note: Type of Document - Tex; prepared on IBM PC; to print on HP;
    Contact details of provider: Web page: http://128.118.178.162

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    1. Bettzuge, Marc Oliver, 1998. "An extension of a theorem by Mitjushin and Polterovich to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 285-300, October.
    2. Wooders, M., 1994. "The Partnered Core of an Economy," UFAE and IAE Working Papers 279.94, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    3. Shafer, Wayne J., 1976. "Equilibrium in economies without ordered preferences or free disposal," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 135-137, July.
    4. Kelsey David & Milne Frank, 1995. "The Arbitrage Pricing Theorem with Non-expected Utility Preferences," Journal of Economic Theory, Elsevier, vol. 65(2), pages 557-574, April.
    5. Page Jr., F.H. & Wooders, M.H., 1995. "The partnered core of an economy," Discussion Paper 1995-55, Tilburg University, Center for Economic Research.
    6. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
    7. Milne, Frank, 1976. "Default Risk in a General Equilibrium Asset Economy with Incomplete Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(3), pages 613-25, October.
    8. Polterovich, Victor & Mityushin, Leonid, 1978. "Criteria for Monotonicity of Demand Functions," MPRA Paper 20097, University Library of Munich, Germany.
    9. Wayne Shafer & Hugo Sonnenschein, 1974. "Equilibrium in Abstract Economies Without Ordered Preferences," Discussion Papers 94, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-18, November.
    11. Border, Kim C, 1984. "A Core Existence Theorem for Games without Ordered Preferences," Econometrica, Econometric Society, vol. 52(6), pages 1537-42, November.
    12. Nielsen, Lars Tyge, 1989. "Asset Market Equilibrium with Short-Selling," Review of Economic Studies, Wiley Blackwell, vol. 56(3), pages 467-73, July.
    13. Haller, Hans, 1991. "Corporate Production and Shareholder Cooperation under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 823-42, November.
    14. repec:dgr:kubcen:199555 is not listed on IDEAS
    15. David Kelsey & Erkan Yalcin, 2004. "The Arbitrage Pricing Theorem with Incomplete Preferences," GE, Growth, Math methods 0401002, EconWPA.
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