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Existence of Equilibrium Points for Bimatrix Game with Interval Payoffs

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

International Game Theory Review (IGTR), 2016, vol. 18, issue 01, 1-13

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.

Keywords: Game theory; quadratic programming problem; interval payoffs; interval valued matrix game; interval analysis (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S021919891650002X

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