Abstract
In this paper, we consider a system of vector variational inequalities and a system of nonsmooth variational inequalities defined by means of Clarke directional derivative. We also consider the Nash equilibrium problem with vector pay-offs and its scalarized form. We present some relations among these systems and problems. The existence results for a solution of system of nonsmooth variational inequalities are given. As a consequence, we derive an existence result for a solution of Nash equilibrium problem with vector pay-offs.
| Original language | English |
|---|---|
| Pages (from-to) | 1211-1218 |
| Number of pages | 8 |
| Journal | Optimization |
| Volume | 64 |
| Issue number | 5 |
| DOIs | |
| State | Published - 4 May 2015 |
Bibliographical note
Publisher Copyright:© 2013 Taylor & Francis.
Keywords
- Nash equilibrium problem with vector pay-offs
- existence results
- scalarization
- system of nonsmooth variational inequalities
- system of vector variational inequalities
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics