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Direct perturbations of aggregate excess demand

Author

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  • Sofia B. S. D. Castro

    (CMUP - Universidade do Porto = University of Porto, Faculdade de Economia do Porto - Universidade do Porto = University of Porto)

  • Sami Dakhlia

    (Department of Economics and Finance - College of Business - USM - University of Southern Mississippi)

  • Peter B. Gothen

    (CMUP - Universidade do Porto = University of Porto, Faculdade de Ciências - Universidade do Porto = University of Porto)

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," Post-Print halshs-00306408, HAL.
    • Handle: RePEc:hal:journl:halshs-00306408
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00306408
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    References listed on IDEAS

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    1. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
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    3. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    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.
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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

    transversality; exchange economy.; exchange economy; Arrow-Debreu; transversalité; économie d'échange.;
    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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