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Equilibria with increasing returns : sufficient conditions on bounded production allocations

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Author Info
Jean-Marc Bonnisseau () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Alexandrine Jamin () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)

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Abstract

This paper deals with the existence of marginal pricing equilibria or equilibria with general pricing rules in an economy with increasing returns to scale or more general types of non convexities in production. Its main contribution is to posit the bounded loss and survival assumptions on a bounded subset of production allocations. Furthermore, the free-disposal assumption is weaken, which allows to consider non positive prices. Finally, we also provide an existence result for a quasi-equilibria, when the survival assumption is weaken on the attainable allocations.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00194881_v1.

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Date of creation: Jun 2005
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Handle: RePEc:hal:cesptp:halshs-00194881_v1

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Related research
Keywords: General economic equilibrium; increasing returns; general pricing rules; bounded losses; marginal pricing rule; free disposal.;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Dehez, Pierre & Dreze, Jacques, 1988. "Distributive production sets and equilibria with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 231-248, April. [Downloadable!] (restricted)
  2. Gerard Debreu, 1956. "Market Equilibrium," Cowles Foundation Discussion Papers 10, Cowles Foundation, Yale University. [Downloadable!]
  3. Cornet, B., 1984. "Existence of equilibria in economies with increasing returns," CORE Discussion Papers 1984007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Bonnisseau, Jean-Marc, 1992. "Existence of equilibria in the presence of increasing returns : A synthesis," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 441-452. [Downloadable!] (restricted)
  5. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January. [Downloadable!] (restricted)
  6. Dierker, Egbert & Guesnerie, Roger & Neuefeind, Wilhelm, 1985. "General Equilibrium When Some Firms Follow Special Pricing Rules," Econometrica, Econometric Society, vol. 53(6), pages 1369-93, November. [Downloadable!] (restricted)
  7. Bonnisseau, J.-M. & Cornet, B., 1986. "Fixed-point theorems and MorseÕs lemma for Lipschitzian functions," CORE Discussion Papers 1986028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Bonnisseau, Jean-Marc & Cornet, Bernard, 1990. "Existence of Marginal Cost Pricing Equilibria: The Nonsmooth Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 685-708, August. [Downloadable!] (restricted)
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  1. 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). [Downloadable!]
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  2. Jean-Marc Bonnisseau & Bernard Cornet, 2006. "Existence of equilibria with a tight marginal," Cahiers de la Maison des Sciences Economiques b06022, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
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