Optimal strategies for two-person normalized matrix game with variable payoffs

Ajay Kumar Bhurjee () and Geetanjali Panda ()
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Ajay Kumar Bhurjee: National Institute of Science and Technology
Geetanjali Panda: Indian Institute of Technology Kharagpur

Operational Research, 2017, vol. 17, issue 2, No 9, 547-562

Abstract: Abstract This paper considers a two-person zero-sum game model in which payoffs are varying in closed intervals. Conditions for the existence of saddle point for this model is studied in this paper. Further, a methodology is developed to obtain the optimal strategy for this game as well as the range of the corresponding optimal values. The theoretical development is verified through numerical example.

Keywords: Zero-sum game; Interval optimization problem; Saddle point; Partial ordering; Interval equation; 91A05; 91A10; 91A35; 91A80 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s12351-016-0237-x

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