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Existence of Equilibrium Points for Bimatrix Game with Interval Payoffs

Author

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  • Ajay Kumar Bhurjee

    (Department of Mathematics, National Institute of Science & Technology, Palur Hills, Berhampur, Odisha-761008, India)

Abstract

This paper deals a bimatrix game with payoffs as closed intervals. Existence of equilibrium point of this game is discussed by using suitable interval quadratic programming problem. Further, a methodology is proposed for finding optimal strategies for each player of the game. The methodology is illustrated by numerical example.

Suggested Citation

  • Ajay Kumar Bhurjee, 2016. "Existence of Equilibrium Points for Bimatrix Game with Interval Payoffs," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-13, March.
    • Handle: RePEc:wsi:igtrxx:v:18:y:2016:i:01:n:s021919891650002x
    DOI: 10.1142/S021919891650002X
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    References listed on IDEAS

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    1. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    2. A. Bhurjee & G. Panda, 2012. "Efficient solution of interval optimization problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(3), pages 273-288, December.
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