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Some remarks about uniquenes of equilibrium for infinite dimensional economies

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  • Elvio Accinelli

    (Instituto de Matemática y Estadística)

Abstract

For economies with infinitely many goods, with two different approaches we obtain sufficient conditions for uniqueness of competitive equilibrium. In the second approach we prove that the Mitjushim-Polterovich conditions is a sufficient condition for uniqueness of equilibrium when the consumption space is a positive cone included in a Banach space. We do not suppose separability of the utility function.

Suggested Citation

  • Elvio Accinelli, 1996. "Some remarks about uniquenes of equilibrium for infinite dimensional economies," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 11(1), pages 3-32.
  • Handle: RePEc:emx:esteco:v:11:y:1996:i:1:p:3-31
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    File URL: http://estudioseconomicos.colmex.mx/archivo/EstudiosEconomicos1996/3-32.pdf
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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.
    2. Dana, Rose-Anne, 1993. "Existence, uniqueness and determinacy of Arrow-Debreu equilibria in finance models," Journal of Mathematical Economics, Elsevier, vol. 22(6), pages 563-579.
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    Cited by:

    1. 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.
    2. Elvio Accinelli Gamba & Leobardo Plata Pérez, 2008. "Crisis sociales y singularidades. Los fundamentos microeconómicos de las crisis sociales," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(2), pages 49-88, November.
    3. Elvio Accinelli & Martín Puchet, 1998. "A Characterization of the Singular Economies of the Infinite Dimensional Models in General Equilibrium Theory," Documentos de Trabajo (working papers) 0798, Department of Economics - dECON.

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