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The number of equilibria of smooth infinite economies with separable utilities

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Author Info
Covarrubias, Enrique

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Abstract

We construct an index theorem for smooth infinite economies with separable utilities that shows that generically the number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of equilibria.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 11099.

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Date of creation: Oct 2008
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Handle: RePEc:pra:mprapa:11099

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Related research
Keywords: Uniqueness; determinacy; equilibria; infinite economy; Fredholm map; equilibrium manifold; Banach manifold; index theorem; vector field; Rothe;

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Find related papers by JEL classification:
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Araujo, A., 1988. "The non-existence of smooth demand in general banach spaces," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 309-319, September. [Downloadable!] (restricted)
  2. Chris Shannon, 1996. "Determinacy of Competitive Equilibria in Economies with Many Commodities," GE, Growth, Math methods 9610002, EconWPA. [Downloadable!]
    Other versions:
  3. Covarrubias, Enrique, 2008. "Determinacy of equilibria of smooth infinite economies," MPRA Paper 9437, University Library of Munich, Germany. [Downloadable!]
  4. Chichilnisky, Graciela & Zhou, Yuqing, 1998. "Smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 27-42, January. [Downloadable!] (restricted)
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  5. Timothy J. Kehoe & David K. Levine & Andreu Mas-Colell & William Zame, 1989. "Determinacy of Equilibrium in Large Square Economies," Levine's Working Paper Archive 46, David K. Levine. [Downloadable!]
  6. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Zame, William R., 1989. "Determinacy of equilibrium in large-scale economies," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 231-262, June. [Downloadable!] (restricted)
  7. Chris Shannon & William R. Zame, 2002. "Quadratic Concavity and Determinacy of Equilibrium," Econometrica, Econometric Society, vol. 70(2), pages 631-662, March. [Downloadable!] (restricted)
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  8. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-53, September. [Downloadable!] (restricted)
  9. Dana, Rose Anne, 1993. "Existence and Uniqueness of Equilibria When Preferences Are Additively Separable," Econometrica, Econometric Society, vol. 61(4), pages 953-57, July. [Downloadable!] (restricted)
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This page was last updated on 2009-11-22.

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