Existence of Equilibrium Points for Bimatrix Game with Interval Payoffs

被引：5

作者：

Bhurjee, Ajay Kumar ^{[1
]}

机构：

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

来源：

INTERNATIONAL GAME THEORY REVIEW | 2016年 / 18卷 / 01期

关键词：

Game theory; quadratic programming problem; interval payoffs; interval valued matrix game; interval analysis;

D O I：

10.1142/S021919891650002X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals a bimatrix game with payoffs as closed intervals. Existence of equilibrium point of this game is discussed by using suitable interval quadratic programming problem. Further, a methodology is proposed for finding optimal strategies for each player of the game. The methodology is illustrated by numerical example.

引用

页数：13

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