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Une note sur un théorème de point-fixe

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Author Info
Pascal Gourdel () (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I)

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Abstract

Nous présentons ici un théorème d'existence d'éléments maximaux pour une correspondance dont les composantes sont hémi-continues supérieurement par rapport à une partie des variables et qui vérifie par rapport aux autres l'une des conditions suivantes : (i) semi-continues inférieurement si l'espace est de dimension finie, (ii) semi-continues inférieurement et à valeurs fermées si l'espace est complet. (iii) à images inverses ouvertes. Ce théorème généralise les résultats de Gale and Mas-Colell (1975-1979), celui de Bergstrom (1975) et étend à un cadre de dimension infinie celui de Gourdel (1995).

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Publisher Info
Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00118919_v1.

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Date of creation: Feb 2006
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Handle: RePEc:hal:cesptp:halshs-00118919_v1

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Related research
Keywords: Point-fixe; élément maximal; hémi-continuité supérieure; théorèmes de sélection.;

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This page was last updated on 2009-12-19.


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