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An index theorem for nonconvex production economies

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  • Jouini, Elyès
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    Abstract

    We consider a general equilibrium model in which the production sector may exhibit increasing returns to scale or more general types of nonconvexities. We assume that the firms follow general pricing rules. Under standard assumptions in this model, we establish an index formula, which generalizes similar results on exchange economies and on convex production economies. This formula allows us to deduce an equilibrium existence theorem and a uniqueness condition.

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    Bibliographic Info

    Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/5638.

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    Date of creation: Jun 1992
    Date of revision:
    Publication status: Published in Journal of Economic Theory, 1992, Vol. 57, no. 1. pp. 176-196.Length: 20 pages
    Handle: RePEc:dau:papers:123456789/5638

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    Related research

    Keywords: Pricing rule; convex production economy;

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    Cited by:
    1. Antoine Mandel, 2007. "An Index Formula for Production Economies with Externalities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00155775, HAL.
    2. Covarrubias, Enrique, 2008. "The number of equilibria of smooth infinite economies with separable utilities," MPRA Paper 11099, University Library of Munich, Germany.
    3. GIRAUD, Gaël, 2000. "An algebraic index theorem for non-smooth economies," CORE Discussion Papers 2000016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Alexandrine Jamin & Antoine Mandel, 2006. "A general equilibrium analysis of emission allowances," Cahiers de la Maison des Sciences Economiques b06003, Université Panthéon-Sorbonne (Paris 1).
    5. Antoine Mandel, 2009. "Changes in the firms behavior after the opening of markets of allowances," Economic Theory, Springer, vol. 40(1), pages 1-25, July.
    6. repec:hal:journl:halshs-00084002 is not listed on IDEAS
    7. Jouini, Elyès, 1996. "Unicité et stabilité de l'équilibre dans une économie de production avec règle de tarification marginale : les cas convexe et non-convexe," Economics Papers from University Paris Dauphine 123456789/5627, Paris Dauphine University.
    8. repec:hal:journl:halshs-00634648 is not listed on IDEAS
    9. repec:hal:journl:halshs-00155783 is not listed on IDEAS
    10. repec:hal:journl:halshs-00155775 is not listed on IDEAS

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