Recent Issues Volume 37 1 2 3 4 Volume 36 1 2 3 4 Volume 35 1 2 3 4 Volume 34 1 2 3 4 Volume 33 1 2 3 4 Past Issues The Journal Cover Aims and Scope Subscription Information Editorial Board Instructions for Author Contact Us Related Links

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.

Vietnam Academy of Science and Technology & Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved.