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Existence of equilibria in economies with increasing returns and infinitely many commodities

Author

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  • Jean-Marc Bonnisseau

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Moncef Meddeb

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we prove the existence of equilibria in a model with infinitely many commodities and where production sets exhibit increasing returns to scale or more general types of non-convexities. We distinguish two cases. In the first, producers follow loss free pricing rules like the average cost or the profit maximizing pricing rule. The second case is devoted to bounded loss pricing rules. In each case, we give an existence result under assumptions which extend those considered in the finite dimensional case. In particular, they are satisfied by a firm with a convex production set which maximizes its profits. We also give a new sufficient condition to have an economically meaningful equilibrium price.

Suggested Citation

  • Jean-Marc Bonnisseau & Moncef Meddeb, 1999. "Existence of equilibria in economies with increasing returns and infinitely many commodities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00187220, HAL.
    • Handle: RePEc:hal:cesptp:hal-00187220
    DOI: 10.1016/S0304-4068(97)00064-5
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    Cited by:

    1. Bonnisseau, J.M., 2000. "The Marginal Pricing Rule in Economies with Infinitely Many Commodities," Papiers d'Economie Mathématique et Applications 2000.47, Université Panthéon-Sorbonne (Paris 1).
    2. Jean-Marc Bonnisseau & Matías Fuentes, 2018. "Market failures and equilibria in Banach lattices," Documents de travail du Centre d'Economie de la Sorbonne 18037, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. J. M. Bonnisseau & A. Jamin, 2008. "Equilibria with Increasing Returns: Sufficient Conditions on Bounded Production Allocations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(6), pages 1033-1068, December.
    4. Jean-Marc Bonnisseau & Matías Fuentes, 2024. "Marginal pricing equilibrium with externalities in Riesz spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(1), pages 1-27, August.
    5. Jean-Marc Bonnisseau & Matias Fuentes, 2022. "Increasing returns, externalities and equilibrium in Riesz spaces," Documents de travail du Centre d'Economie de la Sorbonne 22025, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. Fuentes, Matías N., 2011. "Existence of equilibria in economies with externalities and non-convexities in an infinite-dimensional commodity space," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 768-776.
    7. Jean-Marc Bonnisseau & Matías Fuentes, 2022. "Increasing returns, externalities and equilibrium in Riesz spaces," Working Papers halshs-03908326, HAL.
    8. Jean-Marc Bonnisseau & Matías Fuentes, 2020. "Market Failures and Equilibria in Banach Lattices: New Tangent and Normal Cones," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 338-367, February.

    More about this item

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    JEL classification:

    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

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