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Existence and uniqueness of the Competitive Equilibrium for Infinite Dimensional Economies

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  • Elvio Accinelli

Abstract

In this paper, from the excess utility function we obtain a binary relation in the social weights space and then, for an infinite dimensional economy, we prove the existence of equilibrium, in our approach we don’t suppose the existence of a demand function. Finally, we obtain a condition for the uniqueness of equilibrium, and we give some examples of economies that satisfy this condition.

Suggested Citation

  • Elvio Accinelli, 1999. "Existence and uniqueness of the Competitive Equilibrium for Infinite Dimensional Economies," Documentos de Trabajo (working papers) 0399, Department of Economics - dECON.
    • Handle: RePEc:ude:wpaper:0399
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    File URL: https://hdl.handle.net/20.500.12008/2330
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    References listed on IDEAS

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    1. Kehoe, Timothy J., 1991. "Computation and multiplicity of equilibria," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 38, pages 2049-2144, Elsevier.
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    1. Elvio Accinelli & Martín Puchet, 2001. "A characterization of Walrasian economies of infinity dimension," Documentos de Trabajo (working papers) 0701, Department of Economics - dECON.
    2. Elvio Accinelli, 2004. "Inversión Bajo Incertidumbre," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 3(1), pages 21-44, Marzo 200.
    3. Elvio Accinelli, 1999. "Existence of GE: Are the Cases of Non Existence a Cause of Serious Worry?," Documentos de Trabajo (working papers) 0999, Department of Economics - dECON.
    4. Elvio Accinelli & Leobardo Plata & Martín Puchet, 2007. "Can a reallocation of initial endowments improve social welfare?," Documentos de Trabajo (working papers) 0807, Department of Economics - dECON.
    5. Elvio Accinelli, 2007. "Structural stability, Morse's lemma and singular economies," Documentos de Trabajo (working papers) 0607, Department of Economics - dECON.

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