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Continuity and Uniqueness of Equilibria for Linear Exchange Economies

Author

Listed:
  • 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)

  • Michael Florig

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

  • Alejandro Jofré

    (CMM - Centre de modélisation mathématique / Centro de Modelamiento Matemático [Santiago] - UCHILE - Universidad de Chile = University of Chile [Santiago] - CNRS - Centre National de la Recherche Scientifique)

Abstract

The purpose of this paper is to study the continuity and uniqueness properties of equilibria for linear exchange economies. We characterize the sets of utility vectors and initial endowments for which the equilibrium price is unique and respectively the set for which the equilibrium allocation is unique. We show that the equilibrium allocation correspondence is continuous with respect to the initial endowments and we characterize the set of full measure where the equilibrium allocation correspondence with respect to the initial endowments and utility vectors is continuous.

Suggested Citation

  • Jean-Marc Bonnisseau & Michael Florig & Alejandro Jofré, 2001. "Continuity and Uniqueness of Equilibria for Linear Exchange Economies," Post-Print halshs-00265684, HAL.
    • Handle: RePEc:hal:journl:halshs-00265684
    DOI: 10.1023/A:1017517020329
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    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    2. Jouini, Elyes, 1993. "The graph of the Walras correspondence : The production economies case," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 139-147.
    3. J. M. Bonnisseau & M. Florig & A. Jofré, 2001. "Differentiability of Equilibria for Linear Exchange Economies," Journal of Optimization Theory and Applications, Springer, vol. 109(2), pages 265-288, May.
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    8. repec:dau:papers:123456789/5639 is not listed on IDEAS
    9. Eaves, B. Curtis, 1976. "A finite algorithm for the linear exchange model," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 197-203, July.
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    Cited by:

    1. J. M. Bonnisseau & M. Florig & A. Jofré, 2001. "Differentiability of Equilibria for Linear Exchange Economies," Journal of Optimization Theory and Applications, Springer, vol. 109(2), pages 265-288, May.
    2. Yoav Kolumbus & Menahem Levy & Noam Nisan, 2023. "Asynchronous Proportional Response Dynamics in Markets with Adversarial Scheduling," Papers 2307.04108, arXiv.org, revised Jan 2024.
    3. Jean-Marc Bonnisseau & Michael Florig, 2003. "Existence and optimality of oligopoly equilibria in linear exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 727-741, November.
    4. Shikhman, V. & Nesterov, Yu. & Ginsburgh, V., 2018. "Power method tâtonnements for Cobb–Douglas economies," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 84-92.
    5. Antonio Miralles, 2017. "Ex-ante efficiency in assignments with seniority rights," Review of Economic Design, Springer;Society for Economic Design, vol. 21(1), pages 33-48, March.
    6. M. Florig, 2004. "Equilibrium Correspondence of Linear Exchange Economies," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 97-109, January.

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