基于市场规模不确定的预售与回购策略研究  

Study on the joint strategy of advance-selling and buy-back in the case of uncertainty market size

作　　者：孙银春 彭建文 SUN Yin-chun;PENG Jian-wen(School of Mathematical Science,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《高师理科学刊》2018年第9期1-5,共5页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金重点项目(11431004);国家自然科学基金项目(11171363);重庆市基础科学与前沿技术研究专项重点项目(cstc2015jcyjBX0029);重庆市社会科学规划一般项目(2O15YBGL113)

摘　　要：考虑在市场规模不确定条件下,对双寡头竞争时的预售与回购联合决策问题进行研究.通过构建预售与回购联合策略下双寡头的收益模型,得出相应的最优预售价格、最优订购量与最优利润.研究发现,双寡头在静态博弈过程中的稳定状态是双寡头的预售价格和回购价格均相等.回购价格和成本的大小会影响双寡头的决策,预售价格是回购价格和成本的单调递增函数,当回购价格和成本变大时双寡头需要提高预售价格才有利可图.Explores the optimal joint strategy of advance-selling and buy-back of duopoly in the case of uncertain market size.The profit models of duopoly are constructed under advance-selling with buy-back,obtaines the corresponding optimal advance selling price,optimal order quantities and the optimal profits.It finds out the steady state is that both the advance-selling price and the buy-back of the duopoly are equal in the process of static game.The price of buy-back and the cost will affect the decision of duopoly,the advance-selling price is a monotonous increasing function of buy-back price and cost.Duopoly need improving the advance-selling price to be profitable when the buy-back price and cost get bigger.

关 键 词：不确定性 预售 回购 纳什均衡 

分 类 号：O29[理学—应用数学] G804.53[理学—数学]