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The number of equilibria of smooth infinite economies with separable utilities

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  • Covarrubias, Enrique

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

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  1. Hervés-Beloso, Carlos & Monteiro, Paulo Klinger, 2009. "Existence, continuity and utility representation of strictly monotonic preferences on continuum of goods commodity spaces," MPRA Paper 15157, University Library of Munich, Germany.
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  7. Chichilnisky, G & Zhou, Y, 1996. "Smooth Infinite Economiesq," Discussion Papers, Columbia University, Department of Economics 1996_30, Columbia University, Department of Economics.
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Cited by:
  1. Enrique Covarrubias, 2010. "The Equilibrium Set of Economies with a Continuous Consumption Space," Working Papers 2010-10, Banco de México.

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