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Discrete Walrasian Exchange Process

Author

Listed:
  • Jean-Marc Bonnisseau

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Orntangar Nguenamadji

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

In an exchange economy, we define a discrete exchange process, which is Walrasian since the trades are determined by the equilibrium allocation of the local equilibrium. We prove that this process attains a Pareto optimal allocation after a finite number of steps and the local equilibrium price then supports the Pareto optimal allocation. Furthermore, along the process, the allocation remains feasible and the utility of each consumer is non-decreasing.

Suggested Citation

  • Jean-Marc Bonnisseau & Orntangar Nguenamadji, 2013. "Discrete Walrasian Exchange Process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00638196, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00638196
    DOI: 10.1007/s00199-011-0682-y
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    References listed on IDEAS

    as
    1. Smale, Stephen, 1976. "Exchange processes with price adjustment," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 211-226, December.
    2. Bonnisseau, Jean-Marc & Nguenamadji, Orntangar, 2010. "On the uniqueness of local equilibria," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 623-632, September.
    3. Crockett, Sean & Spear, Stephen & Sunder, Shyam, 2008. "Learning competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 651-671, July.
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    7. Yves Balasko, 2007. "Out-of-equilibrium price dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 413-435, December.
    8. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
    9. Parkash Chander & Henry Tulkens, 2006. "Exchange Processes, the Core and Competitive Allocations," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 64-79, Springer.
    10. Sean Crockett, 2008. "Learning competitive equilibrium in laboratory exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 157-180, January.
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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. Bonnisseau, Jean-Marc & Nguenamadji, Orntangar, 2010. "On the uniqueness of local equilibria," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 623-632, September.

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    More about this item

    Keywords

    Exchange process; Walrasian equilibrium; local equilibrium; Pareto optimum;
    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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