摘要
针对生产同一产品的多家企业定产量的问题,建立一个微分对策模型.利用开环控制策略和反馈控制策略对微分对策模型进行分析,给出两种策略下的定产量,并就两种策略进行对比,通过比较得出,当价格改变速度趋于无穷大时,在开环控制策略下,均衡价格收敛于静态价格,而在反馈控制策略下,均衡价格收敛于一个较低的价格.企业利用反馈控制策略能生产多于开环控制策略所得的产量.
A differential game model is established for the production of multiple enterprises with the same production. The differential game model is analyzed by open-loop control strategy and feedback control strategy. The fixed production is given under two strategies. The two strategies are compared. The equilibrium price converges to the static price in the open-loop control strategy while the price tends to infinity. The equilibrium price converges to a lower price while in the feedback control strategy. The feedback control strategy can produce more output than the open-loop control strategy.
作者
徐龙华
崔炜荣
XU Long-hua;CUI Wei-rong(School of Mathematics and Statistics,Ankang University,Ankang 725000,China;Institute of Mathematics and Applied Mathematics,Ankang University,Ankang 725000,China;Shaannan Eco-economy Research Center,Ankang 725000,China;School of Electronic and Information Engineering,Ankang University,Ankang 725000,China)
出处
《西南民族大学学报（自然科学版）》
CAS
2021年第1期97-102,共6页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金项目(71501064)
陕西省教育厅科学研究计划项目(18JK0015)
安康学院科研项目(SJ201904、2020KCSZ02)
大学生创新创业训练项目(AKXY2020001、AKXY2020002X)。
关键词
微分对策
定产量
均衡价格
价值函数
differential game
constant production
equilibrium price
price function
