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Smooth Infinite Economies

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Author Info
Chichilnisky, G.
Zhou, Y.

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Abstract

Equilibrium conditions in smooth infinite economies with separable utilities are described by Fredholm maps, which are Frechet differentiable. Therefore, Smale's extension of Sard's theorem can be used to studying infinite economies. We study structural stability and local uniqueness of equilibrium in smooth infinite economies and relate the theory of markets to modern Fredholm theory.

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Publisher Info
Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number 1996_14.

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Length: 21 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:clu:wpaper:1996_14

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Related research
Keywords: GENERAL EQUILIBRIUM MATHEMATICS

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Find related papers by JEL classification:
C00 - Mathematical and Quantitative Methods - - General - - - General
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
D59 - Microeconomics - - General Equilibrium and Disequilibrium - - - Other

Cited by:
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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. [Downloadable!]
  2. Chichilnisky, Graciela, 1997. "Topology and invertible maps," MPRA Paper 8811, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  3. Chris Shannon and William R. Zame., 1999. "Quadratic Concavity and Determinacy of Equilibrium," Economics Working Papers E99-271, University of California at Berkeley. [Downloadable!]
    Other versions:
  4. Chris Shannon & William R. Zame, 1999. "Quadratic Concavity and the Determinancy of Equilibrium," UCLA Economics Working Papers 791, UCLA Department of Economics. [Downloadable!]
  5. Elvio Accinelli, 2007. "Structural stability, Morse's lemma and singular economies," Documentos de Trabajo (working papers) 0607, Department of Economics - dECON. [Downloadable!]
  6. Enrique Covarrubias, 2007. "Regular Infinite Economies," Levine's Working Paper Archive 843644000000000034, UCLA Department of Economics. [Downloadable!]
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This page was last updated on 2008-7-21.

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