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Une note sur un théorème de point-fixe

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Author Info
Pascal Gourdel () (Centre d'Economie de la Sorbonne)

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Abstract

We present a theorem on the existence of a maximal element for a correspondence which is upper hemi-continuous in some variables and which satisfies with respect to the other ones one the following conditions : (i) lower semi-continuous if the space has a finite dimension, (ii) lower semi-continuous if the space is complete, (iii) open fibers. This theorem generalizes the result of Gale-Mas-Colell (1975-1979) and the one of Bergstrom (1975) and extend to the infinite dimensional setting the result of Gourdel (1995).

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/B06059.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06059.

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Length: 8 pages
Date of creation: Feb 2006
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Handle: RePEc:mse:wpsorb:b06059

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Related research
Keywords: Fixed-point; maximal element; upper hemi-continuous; selection theorems; endogenous endowments.;

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Find related papers by JEL classification:
C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

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This page was last updated on 2009-12-12.

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