Differential Games Of Cooperative Carbon-reduction In Supply Chain Considering Consumer Preferences

Recently years,with the climate changing and growing environmental problems,more and more governments and enterprises positively discuss the solutions of reduction greenhouse gas emissions.Cooperative carbon emissions reduction among enterprises in supply chain has become an important topic in academic circles.Under the low-carbon economy environment,members of supply chain should also consider the environmental benefits when pursuit of profit to reduce carbon emissions and improve the overall profits of the supply chain,in order to achieve long-term dynamic optimization of the entire supply chain's carbon emissions.On the other hand,consumer preferences will affect the cooperative carbon-reduction strategies of companies in supply chain.In this paper,the research of cooperative carbon-reduction is discussed based on the differential game in a three-level low-carbon supply chain made up of single manufacturer and a single supplier and a and a single retailer.In considering of consumer preferences for low-carbon products,the impact of the carbon content of product prices,the consumer sensitivity for low-carbon products,discussed the effect of different games to the optimal carbon trajectory and strategies and earnings of supply chain in Nash Non-cooperative Game,Stackelberg Game and Cooperative Game.The main contents are as follows:(1)Model construction with cooperative carbon-reduction in considering of profit distribution in three-level supply chain.On the basis of theoretical research of low-carbon supply chain,we construct a three-cooperative game model:Non-cooperative Nash differential game models based on independent decision making strategy,Stackelberg differential game models which the manufacturer is a leader and the supplier and retailer are followers,collaborative differential game models based on overall profit of supply chain.The HJB equation is used to solve the three cooperative differential game models.(2)Model construction with cooperative carbon-reduction in considering of consumer low-carbon preferences and profit distribution in three-level supply chain.On the basis of theoretical research of consumer preferences,builded the model in considering of Carbon Content on product prices,consumer price sensitivity and sensitive reduction of the product content differential game model in Non-cooperative,Stackelberg cooperation and collaborative cooperation to reduce carbon emissions.The HJB equation is used to solve the three cooperative differential game models.(3)Potencial application research.First,simulat of the equilibrium results of basic model of cooperative carbon-reduction and the model in cooperative carbon-reduction in considering of consumer preferences.And then comparative analysis respectively the influence of different cooperative games on the optimal carbon-reduction trajectory and the level of company's efforts to carbon-reduction.Finally,it is be analyzed that the influence of consumer's preference to low-carbon products on the level of company's efforts to carbon-reduction.Enterprises of supply chain cooperatively reduce the carbon emissions throughout the supply chain,to acquire long-term dynamic optimization of the entire supply chain's carbon emissions,and enhance consumers'preference for low-carbon products to improve the overall profit of supply chain and achieve the low-carbon supply chain.This cutting-edge research issues have more practical guidance for carbon-optimal of supply chain.