標題: The Cournot game under a fuzzy decision environment
作者: Dang, Jr-Fong
Hong, I-Hsuan
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: Fuzzy set theory;Cournot game;Equilibrium quantity
公開日期: 1-五月-2010
摘要: The conventional precision-based decision analysis methodology is invalid for business decision analysis when precise assessment data seldom exist. This paper considers the Cournot game with fuzzy demand and fuzzy costs that are assumed to be triangular fuzzy numbers. Our model utilizes the weighted center of gravity (WCoG) method to defuzzify the fuzzy profit function into a crisp value. We derive the equilibrium Cournot quantity of each firm by simultaneously solving the first-order condition of each firm. Our model explicitly derives the necessary condition to avoid an unreasonable outcome of negative equilibrium quantities and lack of flexibility for modification of the ranking method. In addition, we examine the standard deviation of the fuzzy profit resulting from the fuzziness of each firm's cost and market demand functions. We conduct sensitivity analysis to investigate the effect of parameter perturbations on firms' outcomes. The results indicate that the center of parameter plays an important role in sensitivity analysis and dominates over variations in equilibrium quantity due to a perturbation of fuzzy parameters. (C) 2010 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.camwa.2010.02.031
http://hdl.handle.net/11536/5428
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.02.031
期刊: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume: 59
Issue: 9
起始頁: 3099
結束頁: 3109
顯示於類別:期刊論文


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