Home
Recent Issues
Volume 52	1	2	3	4
Volume 51	1	2	3	4
Volume 50	1	2	3	4
Volume 49	1	2	3	4
Volume 48	1	2	3	4
Past Issues
The Journal
Cover
Aims and Scope
Subscription Information
Editorial Board
Instructions for Author
Contact Us

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.

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013