Nash equilibria of generalized games in normed spaces without upper semicontinuity

Authors:
Paolo Cubiotti;Jen-Chih Yao
Affiliations:
Department of Mathematics, University of Messina, Messina, Italy 98166;Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, ROC 80424
Venue:
Journal of Global Optimization
Year:
2010

Citing 3
Cited 1

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Mathematical Programming: Series A and B
Existence of Nash equilibria for generalized games without upper semicontinuity

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On the discontinuous infinite-dimensional generalized quasivariational inequality problem

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Generalized Nash equilibrium problems for lower semi-continuous strategy maps

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Abstract

The aim of this paper is to prove an existence theorem for the Nash equilibria of a noncooperative generalized game with infinite-dimensional strategy spaces. The main peculiarity of this result is the absence of upper semicontinuity assumptions on the constraint multifunctions. Our result is in the same spirit of the paper Cubiotti (J Game Theory 26: 267---273, 1997), where only the case of finite-dimensional strategy spaces was considered.