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

• Autorzy: Chebbi S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multi-criteria games; weighted Nash equilibria; Pareto equilibria; quasi-equilibrium problem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 2
• Strony: 219--226
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Chebbi S.

• "FACULTE DES SCIENCES DE BlZERTE" -TUNISIA AND KING SAUD UNIVERSITY DEPARTMENT OF MATHEMATICS,

Bibliografia

• [1] Ben-El-Mechaiekh, H., Chebbi, S., Florenzano, M., A generalized KKMF principle, J. Math. Anal. Appl. 309 (2005), 583-590.
• [2] Borm, P. E. M., Tijs, S. H., Van Den Aarssen, J. C. M., Pareto equilibrium in multiobjective games, Methods Oper. Res 60 (1990), 303-312.
• [3] Chang, S. Y., Noncompact qualitative games with applications to equilibria, Nonlinear Anal. 65 (2006), 593-600.
• [4] Cubiotti, P., Existence of solutions for lower semi-continuous quasi-equilibrium problem, Comput. Math. Appl. 30 (1995), 11-22.
• [5] Prasad, U. R., Ghose, D., Formulation and analysis of combat problems as zero- sum bicriterion differential games, J. Optim. Theory Appl. 59 (1988), 1-24.
• [6] Wang, S. Y., Existence of a Pareto equilibrium, J. Optim. Theory Appl. 79 (1993), 373-384.
• [7] Yu, J., Yuan, X. Z., The study of Pareto equilibria for multiobjective games by fixed points and Ky Fan minimax inequality methods, Comput. Math. Appl. 35 (1998), 17-24.
• [8] Yu, P. L., Second-ordered games problems: Decision dynamics in gaming phenomena, J. Optim. Theory Appl. 27 (1979), 147-166.
• [9] Yuan, X. Z., Tarafdar, E., Non-compact Pareto equilibria for multiobjective games, J. Math. Anal. Appl. 204 (1996), 156-163.
• [10] Zhou, J. X., Chen, G., Diagonal convexity for problems in convex analysis and quasi-variational inequalities, J. Math. Anal. Appl. 132 (1988), 213-225.