A New Game Value Approach for Infinite Interval Matrix Games

Year 2021, , 1343 - 1351, 31.12.2021

Aykut Or , Gönül Selin Savaşkan

https://doi.org/10.16984/saufenbilder.991897

Abstract

The purpose of this paper is to determine when and under which conditions the solution and game value of the infinite interval matrix games will exist. Firstly, the concept of a reasonable solution defined in interval matrix games was extended to infinite interval matrix games. Then, the solution and game value were characterized by using sequences of interval numbers (defined by Chiao, 2002) and their concept of convergence of interval numbers. Considering that each row or column of the payoff matrix is a sequence of interval numbers, we assume that each row converges to the same interval number α ̃=[α_l,α_r] and each column to the same interval number β ̃=[β_l,β_r]. In a conclusion, the existence of the solution of G ̃ is shown.

Keywords

infinite matrix games, interval matrix games, reasonable solution

Supporting Institution

Çanakkale Onsekiz Mart University

Project Number

FBA-2019-2807

Thanks

We would like to thank the reviewers, editors, and Canakkale Onsekiz Mart University Scientific Research Projects Coordination Unit who supported the work.

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