Une note sur un théorème de point-fixe
AbstractWe 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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Bibliographic InfoPaper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06059.
Length: 8 pages
Date of creation: Feb 2006
Date of revision:
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Fixed-point; maximal element; upper hemi-continuous; selection theorems; endogenous endowments.;
Other versions of this item:
- Pascal Gourdel, 2006. "Une note sur un théorème de point-fixe," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00118919, HAL.
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-10-28 (All new papers)
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