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Vietnam Journal of Mathematics 36:2(2008)
137-149
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On the Existence of Nash Equilibria in Generalized
Noncooperative Games and Applications
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Phan Nhat Tinh
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Abstract. In this paper we introduce the
concepts of generalized noncooperative games and Nash equilibria in
topological vector spaces. Some sufficient conditions for the existence of
Nash equilibria in such games are established. By applying these results to
quasiconvex and convex vector optimization problems, we have obtained some
new results on the existence of optimal solutions which extend some
previously corresponding results.
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Keywords: Noncooperative game, Nash equilibria,
vector optimization, Pareto minimal point, upper and lower semicontinuous
vector functions, upper and lower semicontinuous set-valued maps.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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