Fixed-point-like theorems on subspaces

Philippe Bich and Bernard Cornet

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

Abstract: 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))

Keywords: Fixed-point; Grassmannian manifold; degree theory (search for similar items in EconPapers)
Pages: 14 pages
Date: 2004-06
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

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ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04064.pdf (application/pdf)

Related works:
Working Paper: Fixed-point-like theorems on subspaces (2004)
Working Paper: Fixed-point-like theorems on subspaces (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b04064

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