Equilibrium Analysis Of Multi-Layer Supply Chain Based On Differential Game Theory

With the rapid development of e-commerce platform,the traditional retail industry model has been greatly impacted,and the contradiction between online and offline sales model has become more acute.At the same time,the rapid improvement of information technology,the popularity of intelligent electronic equipment and the increasingly mature logistics industry have further changed people’s consumption patterns and habits.In order to adapt to the requirements of industry development,supply chain needs stronger flexibility to adapt to the complex and changeable market environment.Therefore,it is an important research topic to promote the online and offline pricing of supply chain to meet the high quality requirements of consumers.In this paper,a master-slave game model with differential dynamics is used to study and analyze the equilibrium problem of two-channel supply chain.Firstly,the dynamic demand function and profit function of two-layer and two-channel market are constructed.The equilibrium solution is analyzed qualitatively and compared with the static model.Secondly,the dynamic profit function of multi-layer dual-channel supply chain is constructed.Stackelberg solution of manufacturer,distributor and retailer in the model is solved,and the equilibrium solution is further qualitative analyzed.The results show that:(1)In the two-tier and two-channel supply chain model,market share ratio has a key influence on supply chain price pricing.When the online market share is larger than the offline market share,manufacturers can be more flexible in pricing and achieve greater profits.When the offline share is high,the manufacturer needs to take into account the retailer’s income,and the price should not be too high.(2)In the multi-layer dual-channel supply chain model,market share ratio has a significant impact on the pricing of all supply chain members.Online direct sales market share of the proportion and the balanced online retail price,wholesale price,wholesale distributors of equilibrium price,offline are inversely proportional relationship between wholesale prices,and potential market demand and the balanced online retail price,wholesale price,wholesale distributors of equilibrium price,offline wholesale price is proportional to the relationship.Therefore,supply-chain members can optimize their product pricing by optimizing their market share,thus achieving the goal of promoting the healthy development of the industry.