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 |