Properly efficient Nash equilibrium in multicriteria noncooperative games

被引:10
作者
Fahem, Karima [1 ]
Radjef, Mohammed Said [2 ]
机构
[1] Univ Tizi Ouzou, Dept Math, Fac Sci, Tizi Ouzou, Algeria
[2] Univ Bejaia, Res Unit LaMOS Modeling & Optimizat Syst, Fac Exact Sci, Bejaia 06000, Algeria
关键词
Multicriteria games; Efficient Nash equilibrium; Properly efficient Nash equilibrium; Multicriteria matrix game; OPTIMAL SECURITY STRATEGIES; PARETO EQUILIBRIA;
D O I
10.1007/s00186-015-0508-y
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The aim of this paper is to study the concept of properly efficient equilibrium for a multicriteria noncooperative strategic game. Using results of multicriteria optimization programming, we give some characterizations and existence results of this concept in the considered game.
引用
收藏
页码:175 / 193
页数:19
相关论文
共 21 条
[1]  
[Anonymous], 1956, PAC J MATH, DOI [10.2140/pjm.1956.6.1, DOI 10.2140/PJM.1956.6.1]
[2]  
[Anonymous], 1959, Nav. Res. Logist. Quart., DOI [10.1002/nav.3800060107, DOI 10.1002/NAV.3800060107]
[3]   The system of generalized vector equilibrium problems with applications [J].
Ansari, QH ;
Schaible, S ;
Yao, JC .
JOURNAL OF GLOBAL OPTIMIZATION, 2002, 22 (1-4) :3-16
[4]  
Borm PE., 1988, Methods Oper Res, V60, P303
[5]   Maximal elements in noncompact spaces with application to equilibria [J].
Chang, SY .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (02) :535-541
[6]   GAMES WITH VECTOR PAYOFFS [J].
CORLEY, HW .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (04) :491-498
[7]  
Deguire P, 1999, NONLINEAR ANAL-THEOR, V37, P933
[8]   PROPER EFFICIENCY AND THEORY OF VECTOR MAXIMIZATION [J].
GEOFFRION, AM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (03) :618-+
[9]   SOLUTION CONCEPTS IN 2-PERSON MULTICRITERIA GAMES [J].
GHOSE, D ;
PRASAD, UR .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1989, 63 (02) :167-189