Une note sur un théorème de point-fixe

Pascal Gourdel

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

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).

Keywords: Fixed-point; maximal element; upper hemi-continuous; selection theorems; endogenous endowments. (search for similar items in EconPapers)
JEL-codes: C02 C60 (search for similar items in EconPapers)
Date: 2006-02

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Related works:
Working Paper: Une note sur un théorème de point-fixe (2006)
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