Fixed-point-like theorems on subspaces.

In this paper, we prove a fixed-point-like theorem for multi-valued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems : the fixed-point-like theorem by Hirsh, Magill, Mas-Colell (1990) or Husseiny, Lasry, Magill (1990) and the fixed-point theorem by Gale, Mas-Colell (1975) (which generalizes Kakutani's theorem (1941)).

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Year of publication:	2004-06
Authors:	Bich, Philippe ; Cornet, Bernard
Institutions:	Maison des Sciences Économiques, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Fixed-point \| Grassmannian manifold \| degree theory

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Extent:	application/pdf
Series:	Cahiers de la Maison des Sciences Economiques. - ISSN 1624-0340.
Type of publication:	Book / Working Paper
Notes:	14 pages
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005220175