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Direct perturbations of aggregate excess demand

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  • Castro, Sofia B.S.D.
  • Dakhlia, Sami
  • Gothen, Peter B.

Abstract

We complement the Sonnenschein-Mantel-Debreu results by establishing that an exchange economy, i.e., preferences and endowments, that generates a given aggregate excess demand (AED) function is close to the economy that generates a perturbation of this AED. As a consequence, genericity and determinacy results obtained by direct perturbation of an AED are as strong as results obtained by perturbing preferences and endowments.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 46 (2010)
Issue (Month): 4 (July)
Pages: 562-571

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Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:562-571

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Arrow-Debreu Aggregate excess demand Genericity Determinacy Transversality General equilibrium Sonnenschein-Mantel-Debreu;

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  1. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
  2. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-92, May.
  3. 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.
  4. 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.
  5. 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.
  6. 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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