note: Existence of Nash Equilibria for Generalized Games without Upper Semicontinuity

Paolo Cubiotii
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Paolo Cubiotii: Department of Mathematics, University of Messina, 98166 Sant' Agata-Messina, Italy

International Journal of Game Theory, 1997, vol. 26, issue 2, 267-273

Abstract: The present note extends Debreu's equilibrium existence theorem for a generalized game in the context of finite-dimensional strategy spaces, by weakening the upper semicontinuity and closed-valuedness assumption on the feasible strategy multifunctions. This is made by establishing an inequality of Ky Fan's type, whose proof is based on a selection theorem by E. Michael. An extension to generalized games with unbounded strategy spaces is also presented.

Date: 1998-05-19
Note: Received December 1995 Revised version July 1996
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