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An Index Theorem for Nonconvex Production Economies

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  • Elyès Jouini

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Elyès Jouini, 1992. "An Index Theorem for Nonconvex Production Economies," Post-Print halshs-00175857, HAL.
    • Handle: RePEc:hal:journl:halshs-00175857
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    Cited by:

    1. GIRAUD, Gaël, 2000. "An algebraic index theorem for non-smooth economies," LIDAM Discussion Papers CORE 2000016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Covarrubias, Enrique, 2013. "The number of equilibria of smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 263-265.
    3. Antoine Mandel, 2009. "Changes in the firms behavior after the opening of markets of allowances," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 1-25, July.
    4. Antoine Mandel, 2007. "Changes in the firms behavior after the opening of an allowance market," Documents de travail du Centre d'Economie de la Sorbonne b07027, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    5. repec:dau:papers:123456789/5627 is not listed on IDEAS
    6. Alexandrine Jamin & Antoine Mandel, 2006. "A General Equilibrium Analysis of Emission Allowances," Post-Print halshs-00084002, HAL.
    7. Mandel, Antoine, 2008. "An index formula for production economies with externalities," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1385-1397, December.

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