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Direct perturbations of aggregate excess demand

Author

Listed:
  • Sofia B. S. D. Castro

    (Centro de Matematica da Universidade do Porto - Faculdade de Economia)

  • Sami Dakhlia

    (College of Business - University of Southern Mississipi)

  • Peter B. Gothen

    (Centro de Matematica da Universidade do Porto - Faculdade de Ciências)

Abstract

We establish that an exchange economy, i.e., preferences and endowments, that generates a giiven aggregate excess demand (AED) function is close to the economy generating the AED obtained by an arbitrary perturbation of the original one

Suggested Citation

  • Sofia B. S. D. Castro & Sami Dakhlia & Peter B. Gothen, 2008. "Direct perturbations of aggregate excess demand," Documents de travail du Centre d'Economie de la Sorbonne b08045, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:b08045
    as

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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.
    2. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    3. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    4. Mas-Colell, Andreu & Nachbar, John H., 1991. "On the finiteness of the number of critical equilibria, with an application to random selections," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 397-409.
    5. Lehmann-Waffenschmidt, Marco, 1995. "On the equilibrium price set of a continuous perturbation of exchange economies," Journal of Mathematical Economics, Elsevier, vol. 24(5), pages 497-519.
    6. Hildenbrand, W & Mertens, J F, 1972. "Upper Hemi-Continuity of the Equilibrium-Set Correspondence for Pure Exchange Economies," Econometrica, Econometric Society, vol. 40(1), pages 99-108, January.
    7. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
    8. Hildenbrand, Kurt, 1972. "Continuity of the equilibrium-set correspondence," Journal of Economic Theory, Elsevier, vol. 5(1), pages 152-162, August.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Gorokhovsky, Alexander & Rubinchik, Anna, 2022. "Necessary and sufficient conditions for determinacy of asymptotically stationary equilibria in OLG models," Journal of Economic Theory, Elsevier, vol. 204(C).
    2. Castro, Sofia B.S.D. & Dakhlia, Sami & Gothen, Peter B., 2013. "From singularity theory to finiteness of Walrasian equilibria," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 169-175.

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    More about this item

    Keywords

    Arrow-Debreu; transversality; exchange economy;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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