Optimal strategies for two-person normalized matrix game with variable payoffs

被引：6

作者：

Bhurjee, Ajay Kumar ^{[1
]}

Panda, Geetanjali ^{[2
]}

机构：

[1] Natl Inst Sci & Technol, Dept Math, Palur Hills, Berhampur 761008, Orissa, India

[2] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

来源：

OPERATIONAL RESEARCH | 2017年 / 17卷 / 02期

关键词：

Zero-sum game; Interval optimization problem; Saddle point; Partial ordering; Interval equation; ZERO-SUM GAMES; INTERVAL;

D O I：

10.1007/s12351-016-0237-x

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：

This paper considers a two-person zero-sum game model in which payoffs are varying in closed intervals. Conditions for the existence of saddle point for this model is studied in this paper. Further, a methodology is developed to obtain the optimal strategy for this game as well as the range of the corresponding optimal values. The theoretical development is verified through numerical example.

引用

页码：547 / 562

页数：16

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