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A note on the stochastic stability of equilibrium in some exchange economies

Author

Listed:
  • Antoine Mandel

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Nicola Botta

    (PIK - Potsdam Institute for Climate Impact Research)

Abstract

Building upon recent work of Gintis, we study evolutionary dynamics in an economy with Leontieff preferences and corner endowments for which the equilibrium is completely indeterminate. We exhibit a class of dynamics which selects, via stochastic stability, the equilibrium minimizing the quantities traded.

Suggested Citation

  • Antoine Mandel & Nicola Botta, 2009. "A note on the stochastic stability of equilibrium in some exchange economies," Post-Print halshs-00442864, HAL.
    • Handle: RePEc:hal:journl:halshs-00442864
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00442864
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    References listed on IDEAS

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    1. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    2. Safra, Zvi, 1985. "Existence of equilibrium for walrasian endowment games," Journal of Economic Theory, Elsevier, vol. 37(2), pages 366-378, December.
    3. Gintis Herbert, 2006. "The Emergence of a Price System from Decentralized Bilateral Exchange," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-17, December.
    4. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    5. Dawid, Herbert, 2007. "Evolutionary game dynamics and the analysis of agent-based imitation models: The long run, the medium run and the importance of global analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2108-2133, June.
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    More about this item

    Keywords

    bargaining games; equilibrium selection; stochastic stability.; stochastic stability; Exchange economies; Economies d'échange; jeux de marchandage; sélection d'équilibres; stabilité stochastique.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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