绿色消费行为下闭环供应链微分对策研究

Research on Differential Game of Closed-loop Supply Chain under Green Consumption Behavior

在一个制造商和两个零售商构成的绿色闭环供应链系统中,构建制造商和两个零售商三者共同进行Nash博弈(NN)、制造商处于主导地位时两个零售商之间进行Nash博弈(SN)的两种随机微分博弈模型;然后,求得模型下供应链系统中各个主体的动态均衡解和最优值函数;最后,通过算例分析研究回收率的变化过程,同时讨论参数对均衡解以及利润的影响。结果表明:①废旧品的回收率在回收率的期望值附近上下波动;②两种渠道权力结构下零售商1和零售商2的最优值函数相同;③随着消费者对产品绿色度的敏感程度增加,两种渠道权力结构下产品的绿色度、回收努力、产品的批发价格、零售价格以及各个主体的利润都随之增加。

In a green closed-loop supply chain system composed of one manufacturer and two retailers,two kinds of stochastic differential game models are constructed,in which the manufacturer and two retailers play Nash game(NN)together and Nash game(SN)between two retailers when the manufacturer is dominant.Then the dynamic equilibrium solution and optimal value function of each agent in the supply chain system under the model are obtained.Finally,the change process of the recovery rate is analyzed through an example,and the influence of parameters on the equilibrium solution and profit is discussed.The results show that:The recovery rate of waste products fluctuates around the expected value of recovery rate;The optimal value functions of retailer 1 and retailer 2 are the same under the two channel power structures;With the increase of consumers sensitivity to the greenness of products,the greenness of products,recycling efforts,wholesale prices,retail prices and profits of each subject increase under the two channel power structures.