NOTES ON "LINEAR PROGRAMMING TECHNIQUE TO SOLVE TWO-PERSON MATRIX GAMES WITH INTERVAL PAY-OFFS"

Deng-Feng Li ()
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Deng-Feng Li: School of Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, Fujian 350108, China

Asia-Pacific Journal of Operational Research (APJOR), 2011, vol. 28, issue 06, 705-737

Abstract: The aim of this note is to point out and correct some vital mistakes in the paper by P K Nayak and M Pal, "Linear programming technique to solve two person matrix (games with interval pay-offs).Asia-Pacific Journal of Operational Research, 26(2), 285–305". Lots of serious mistakes on the definitions, conclusions, models, methods, proofs and computing results have been corrected and modified in this note. We also indicate inappropriate formulations regarding their proposed linear programming models for solving generic matrix games with interval pay-offs and suggest a pair of linear programming models with any minimal acceptance degree of the interval inequality constraints which may be allowed to violate. The lexicographic method is suggested so that a rational and credible solution of the generic matrix game with interval pay-offs can be achieved.

Keywords: Mathematical programming; interval matrix game; saddle point; interval computation; fuzzy number (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S021759591100351X

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