Z-EQUILIBRIA IN BI-MATRIX GAMES WITH UNCERTAIN PAYOFFS

被引：3
|
作者：
Achemine, Farida [1 ]
Merakeb, Abdelkader [2 ]
Larbani, Moussa [3 ]
Marthon, Philippe [4 ]
机构：
[1] Univ Mouloud Mammeri Tizi Ouzou, Tizi Ouzou, Algeria
[2] Univ Mouloud Mammeri Tizi Ouzou, L2CSP, Tizi Ouzou, Algeria
[3] Carleton Univ, Sch Math & Stat, Ottawa, ON, Canada
[4] Univ Fed Toulouse Midi Pyrenees, IRIT ENSEEIHT, F-31000 Toulouse, France
来源：
RAIRO-OPERATIONS RESEARCH | 2020年 / 54卷 / 02期
关键词：
Bi-matrix game; Pareto optimal; uncertainty theory; Z-equilibrium;
D O I：
10.1051/ro/2019007
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 concept of Z-equilibrium has been introduced by Zhuk-ovskii (Mathematical Methods in Operations Research. Bulgarian Academy of Sciences, Sofia (1985) 103{195) for games in normal form. This concept is always Pareto optimal and individually rational for the players. Moreover, Pareto optimal Nash equilibria are Z-equilibria. We consider a bi-matrix game whose payoffs are uncertain variables. By appropriate ranking criteria of Liu uncertainty theory, we introduce some concepts of equilibrium based on Z-equilibrium for such games. We provide sufficient conditions for the existence of the introduced concepts. Moreover, using mathematical programming, we present a procedure for their computation. A numerical example is provided for illustration.
引用
收藏
页码：393 / 412
页数：20
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