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On the uniqueness of local equilibria

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Abstract

In a pure exchange economy, we definie a new concept of local equilibria where the consumers are restricted by sale constraints. So the equilibrium consumptions are close to the initial endowments. We prove that the local equilibrium is always unique when utility functions are smooth and the constraints are sufficiently tight. We also prove that the local equilibria converge to the equilibrium of the linear tangent economy when the sale constraints converge to zero

Suggested Citation

  • Jean-Marc Bonnisseau & Orntangar Nguenamadji, 2008. "On the uniqueness of local equilibria," Documents de travail du Centre d'Economie de la Sorbonne b08102, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Dec 2009.
    • Handle: RePEc:mse:cesdoc:b08102
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    References listed on IDEAS

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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    2. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    3. Jean-Marc Bonnisseau & Orntangar Nguenamadji, 2013. "Discrete Walrasian exchange process," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 1091-1100, April.
    4. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
    5. Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795-830, Elsevier.
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    Cited by:

    1. Gaël Giraud & Nguenamadji Orntangar, 2011. "Monetary Policy under Finite Speed of Trades and Myopia," Documents de travail du Centre d'Economie de la Sorbonne 11011, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Jean-Marc Bonnisseau & Orntangar Nguenamadji, 2013. "Discrete Walrasian exchange process," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 1091-1100, April.

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    More about this item

    Keywords

    General economic equilibrium; local equilibria; uniqueness;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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