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

Author

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  • Paolo Cubiotii

    (Department of Mathematics, University of Messina, 98166 Sant' Agata-Messina, Italy)

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.

Suggested Citation

  • Paolo Cubiotii, 1997. "note: Existence of Nash Equilibria for Generalized Games without Upper Semicontinuity," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 267-273.
    • Handle: RePEc:spr:jogath:v:26:y:1997:i:2:p:267-273
    Note: Received December 1995 Revised version July 1996
    as

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