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Existence of pareta equlibria for non-compact constrained multi-criteria games

Chebbi S.

Journal of Applied Analysis

2008

Vol. 14, nr 2

219-226

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.