Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
Souhail Chebbi · Journal of Applied Analysis · 2008
In this paper, an existence result of quasi-equilibrium problem is proved and used to establish the existence of weighted Nash equilibria for constrained multi-criteria games under a generalized quasi-convexity condition and a coercivity type condition on the payoff functions. As consequence, we prove the existence of Pareto equilibria for constrained multi-criteria games with non-compact strategy sets in topological vector spaces.