Non-compact Pareto Equilibria for Multiobjective Games

In this paper, we study the existence of weighted Nash-equilibria and Pareto equilibria for non-compact multiobjective games with multicriteria as applications of the Ky Fan minimax principle in 1972. As results, several existence theorems for non-compact weighted Nash-equilibria and Pareto equilibria are established. These include the corresponding results in recent literature as special cases