A Comparative Study on Two Person Zero Sum Game Problems Through Computer Algebra

Abstract

This paper improves a game theoretic algorithm and develops its computer oriented program using MATHEMATICA for solving two person zero sum game problems. The algorithm and computer algebra are drawn upon mainly from two sources, namely the papers H. K. Das, Saha and Hasan⁵; H. K. Das and Hasan⁶ being able to solve two person zero sum game problems with single payoff elements. We do a comparative study of the current algorithm and computer technique with the papers^{5, 6}. We show that the current technique is better than the papers^{5, 6} in saving labor and time for solving two person game problems by analyzing a number of numerical examples.

Dhaka Univ. J. Sci. 65(1): 1-7, 2017 (January)