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SOLVING MATRIX GAME USING ROUGH INTERVAL PAYOFFS
Date
2024-10-01
Author
Ghosh, Piyush
Bhaumik, Ankan
Weber, Gerhard Wilhelm
Roy, Sankar Kumar
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In this paper, we conduct an analysis of a matrix game using rough interval payoffs, which we refer to as the rough interval matrix game (RIMG). We employ three methods to address the problem at hand: linear programming, graphical method, and algebraic method. The proposed approach offers several key advantages over existing methods, which we highlight. We introduce algorithms associated with each of the three mentioned methods to obtain optimal solutions for the RIMG. To validate the effectiveness of our proposed techniques, we present two numerical examples and apply the methodologies to solve them. In conclusion, we summarize the findings of our study and discuss potential avenues for future research based on the insights provided in this paper.
Subject Keywords
decision making problem
,
equilibrium strategies
,
graphical and algebraic method
,
linear programming
,
rough interval
,
Two-person zero-sum game
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85199680011&origin=inward
https://hdl.handle.net/11511/110692
Journal
Journal of Dynamics and Games
DOI
https://doi.org/10.3934/jdg.2024010
Collections
Graduate School of Applied Mathematics, Article
Citation Formats
IEEE
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MLA
BibTeX
P. Ghosh, A. Bhaumik, G. W. Weber, and S. K. Roy, “SOLVING MATRIX GAME USING ROUGH INTERVAL PAYOFFS,”
Journal of Dynamics and Games
, vol. 11, no. 4, pp. 399–421, 2024, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85199680011&origin=inward.