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Journal of Information and Optimization Sciences cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

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Open Access Research Article

On the solution of two-person zero-sum matrix games

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pp. 649–657Vol. 45Issue 3April 2024DOI: 10.47974/JIOS-1323XML
Received:
07 Jun 2022
Accepted:
05 Oct 2022
Published Online:
27 Apr 2024
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1323
Pages:
649–657

Abstract

In this article, 0-sum 2-person matrix games are considered. Some basic concepts and results are recalled. The numerical solution of matrix games by dual problems of linear optimization is discussed. Illustrative numerical examples are also included. 

Keywords

Subject Classifications

(2020) 91A0591A35

References

[1] Hadnan Akyar, and Emrah Akyar, “A graphical method for solving interval matrix games”, Abstract and Applied Analysis, Vol. 2011 (2011), Article ID 260490, 17 pages. 
[2] S. Z. Alparslan Gök, R. Branzei, and S. Tijs, “Convex interval games”, Journal of Applied Mathematics and Decision Sciences, Vol. 2009 (2009), Article ID 342089, 14 pages. 
[3] I. Khan, A. Aggarwal, A. Mehra, and S. Chandra, “Solving matrix games with Atanassov’s I-fuzzy goals via indeterminacy resolution approach”, Journal of Information and Optimization Sciences, Vol. 38(2),  pp. 259-287 (2017), DOI: 10.1080/02522667.2016.1164999. 
[4] John von Neumann, “Zur Theorie der Gesellschaftsspiele”, Mathematische Annalen, Vol. 100(1), pp. 295-320 (in German) (1928). 
[5] John von Neumann, and Oskar Morgenstern, Theory of Games and Economic Behavior, 60-th anniversary ed., Princeton University Press, Princeton (2007). 
[6] Peter Morris, Introduction to Game Theory, Springer-Verlag, New York–Berlin–Heidelberg (1994). 
[7] Stefan M. Stefanov, Quantitaive Methods of Management, Heron Press, Sofia  (in Bulgarian) (2003). 
[8] Stefan M. Stefanov, “On the solution of the multidimensional convex separable knapsack problem with bounded variables”, European Journal of Operational Research, Vol. 247(2), pp. 366-369 (2015). 
[9] Stefan M. Stefanov, Separable Optimization: Theory and Methods, Springer, New York, Springer Optimization and Its Applications, Vol. 177 (2021). 
[10] Yuanhua Wang, Fuad E. Alsaadi, Zheng Liu, Xiaomeng Wu, and Xiyu Liu, “Matrix expression of Shapley value in graphical cooperative games”, Mathematical Problems in Engineering, Vol. 2020 (2020), Article ID 2045654, 8 pages. 
[11] Jiuping Xu, and Liming Yao, “A class of two-person zero-sum matrix games with rough payoff”, International Journal of Mathematics and Mathematical Sciences, Vol. 2010 (2010), Article ID 404792, 22 pages. 

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