Abstract and Applied Analysis

A Graphical Method for Solving Interval Matrix Games

Handan Akyar and Emrah Akyar

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Abstract

2 × n or m × 2 interval matrix games are considered, and a graphical method for solving such games is given. Interval matrix game is the interval generation of classical matrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the payoffs may vary within a range for fixed strategies, an interval-valued matrix can be used to model such uncertainties. In the literature, there are different approaches for the comparison of fuzzy numbers and interval numbers. In this work, the idea of acceptability index is used which is suggested by Sengupta et al. (2001) and Sengupta and Pal (2009), and in view of acceptability index, well-known graphical method for matrix games is adapted to interval matrix games.

Article information

Source
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 260490, 17 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313171215

Digital Object Identifier
doi:10.1155/2011/260490

Mathematical Reviews number (MathSciNet)
MR2817273

Zentralblatt MATH identifier
1217.91006

Citation

Akyar, Handan; Akyar, Emrah. A Graphical Method for Solving Interval Matrix Games. Abstr. Appl. Anal. 2011 (2011), Article ID 260490, 17 pages. doi:10.1155/2011/260490. https://projecteuclid.org/euclid.aaa/1313171215


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