Narzędzia help

Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
first previous next last
cannonical link button


Journal of Applied Analysis

Tytuł artykułu

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

Autorzy Chebbi, S. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
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 Walter de Gruyter GmbH & Co. KG
Czasopismo Journal of Applied Analysis
Rocznik 2008
Tom Vol. 14, nr 2
Strony 219--226
Opis fizyczny Bibliogr. 10 poz.
autor Chebbi, S.
[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.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-LOD6-0006-0025