Open AccessA Comparative Study on Two Person Zero Sum Game Problems Through Computer Algebra
Author(s) -
HK Das
Publication year - 2017
Publication title -
the dhaka university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2408-8528
pISSN - 1022-2502
DOI - 10.3329/dujs.v65i1.54498
Subject(s) - stochastic game , zero sum game , zero (linguistics) , computer game , computer science , combinatorial game theory , symbolic computation , game theory , algebra over a field , sequential game , algorithm , theoretical computer science , mathematical optimization , mathematics , mathematical economics , multimedia , pure mathematics , mathematical analysis , philosophy , linguistics
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 papers5, 6. We show that the current technique is better than the papers5, 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)