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A Note on “A Methodology for Solving Bimatrix Games Under 2-Tuple Linguistic Environmentâ€

Author

Listed:
  • Kirti

    (Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India)

  • Tina Verma

    (Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India)

  • Amit Kumar

    (Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India)

Abstract

To the best of authors’ knowledge, only two methods are proposed in the literature to solve 2-tuple linguistic bi-matrix games. In this paper, a 2-tuple linguistic bi-matrix game is considered to show that none of these methods is valid and hence, it is inappropriate to use these methods to solve 2-tuple linguistic bi-matrix games. Also, a new method is proposed to solve 2-tuple linguistic bi-matrix games. Furthermore, the origin of the proposed method as well as its validity is discussed. Finally, the proposed method is illustrated with the help of the considered 2-tuple linguistic bi-matrix game.

Suggested Citation

  • Kirti & Tina Verma & Amit Kumar, 2024. "A Note on “A Methodology for Solving Bimatrix Games Under 2-Tuple Linguistic Environmentâ€," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 1-24, December.
    • Handle: RePEc:wsi:igtrxx:v:26:y:2024:i:04:n:s0219198924500117
    DOI: 10.1142/S0219198924500117
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