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2 Chebbi S.

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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.

Minimax inequality and equilibria with a generalized coercivity

Chebbi S.

Journal of Applied Analysis

2006

Vol. 12, nr 1

119-127

In the first part of t his paper, we prove a minimax inequality for maps satisfying a generalized coercivity type condition. As a consequence, we prove a result on the solvability of complementarity problems. In the second part, a result on the existence of maximal element in non-compact domains is obtained and as application, we prove the existence of equilibrium for an abstract economy (or generalized game) with non-compact choice sets.