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Solving matrix game with rough payoffs using genetic algorithm

Author

Listed:
  • Sankar Kumar Roy

    (Vidyasagar University)

  • Prasanta Mula

    (ISRO Satellite Centre)

Abstract

In this paper, we analyze a matrix game using a rough programming approach. The combination of a matrix game and a rough programming approach represents a new class defined as a rough matrix game. The pay-off elements are characterized by rough variables, and the uncertainties of the rough variables are measured using a measure known as trust. Based on this trust measure, we defined trust equilibrium strategies and a rough expected value. We derived a series of optimal solutions to a rough matrix game using a genetic algorithm. We present a numerical example that illustrates the effectiveness of our rough matrix game.

Suggested Citation

  • Sankar Kumar Roy & Prasanta Mula, 2016. "Solving matrix game with rough payoffs using genetic algorithm," Operational Research, Springer, vol. 16(1), pages 117-130, April.
    • Handle: RePEc:spr:operea:v:16:y:2016:i:1:d:10.1007_s12351-015-0189-6
    DOI: 10.1007/s12351-015-0189-6
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    References listed on IDEAS

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    1. Sankar Kumar Roy & Prasanta Mula, 2015. "Rough set approach to bi-matrix game," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 23(2), pages 229-244.
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    Cited by:

    1. Sankar Kumar Roy & Ankan Bhaumik, 2018. "Intelligent Water Management: a Triangular Type-2 Intuitionistic Fuzzy Matrix Games Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 949-968, February.
    2. İzgi, Burhaneddin & Özkaya, Murat & Üre, Nazım Kemal & Perc, Matjaž, 2023. "Extended matrix norm method: Applications to bimatrix games and convergence results," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    3. Farzaneh Ferdowsi & Hamid Reza Maleki & Sanaz Rivaz, 2020. "Air refueling tanker allocation based on a multi-objective zero-one integer programming model," Operational Research, Springer, vol. 20(4), pages 1913-1938, December.
    4. El-Saeed Ammar & M. G. Brikaa & Entsar Abdel-Rehim, 2019. "A study on two-person zero-sum rough interval continuous differential games," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 689-716, September.

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    1. El-Saeed Ammar & M. G. Brikaa & Entsar Abdel-Rehim, 2019. "A study on two-person zero-sum rough interval continuous differential games," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 689-716, September.

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