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Vietnam Journal of Mathematics 36:2(2008) 137-149

On the Existence of Nash Equilibria in Generalized Noncooperative Games and Applications

Phan Nhat Tinh

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.

 

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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