Une note sur un théorème de point-fixe

Pascal Gourdel

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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 and Mas-Colell (1975-1979) and the one of Bergstrom (1975) and extend to the infinite dimensional setting the result of Gourdel (1995).

Keywords: upper hemi-continuous; maximal element; fixed-point; selection theorems; endogenous endowments; théorèmes de sélection; hémi-continuité supérieure; élément maximal; Point-fixe (search for similar items in EconPapers)
Date: 2006-02
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00118919
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Published in 2006

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Working Paper: Une note sur un théorème de point-fixe (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00118919

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