Nonlinear Dynamics Research On Oligopoly Game For A Class Of B2P Product Sharing

With the development of economic globalization and digital technology,the sharing economy is booming as an emerging business model.From the perspective of market structure,the sharing economy organization can be divided into two modes: business-to-peer(B2P)and peer-to-peer(P2P).This paper focuses on the oligopolistic firms of the B2 P model in the sharing economy market,which provide heterogeneous self-operated products in this market.First,this paper proposes a duopoly Cournot model and a Cournot-Bertrand mixed model with bounded rationality and studies its dynamic game behavior based on game theory and nonlinear dynamics theory.Then,the triopoly Cournot model and the Cournot-Bertrand mixed model under different expectations are studied.The results show that network externalities,product heterogeneity and products’ costs have significant impact on the stability of Nash equilibrium and firms’ performance.Theoretical proof and numerical simulation analysis show that the stability region of Nash equilibrium becomes small as the network externalities increase.However,this is positive to the oligopolistic firms’ performance,including their quantities of products,price of products and profits.The simulation results show that in the quantity game,higher product heterogeneity can decrease quantities of shared products,but it has a small impact on the stability of the Nash equilibrium;In the quantity-price mixed game,higher product heterogeneity increases the price of products of enterprises adopting price adjustment strategies,reduces quantities products of enterprises adopting quantity adjustment strategies,and the stability of Nash equilibrium becomes smaller.The firms with different levels of cost should choose to increase or decrease product heterogeneity to get competition edge.For higher-cost companies,increasing product remanufacturing rates can significantly increase profit levels.In addition,comparing different game models,it can be found that the stability range of the Nash equilibrium of enterprises adopting price adjustment strategies is small,and the price adjustment speed should be kept lower to avoid the market from chaos.When the products have a certain degree of substitution,the enterprise can obtain higher profits by adopting the quantity game.Adaptive expectation is a more stable expectation rule compared with bounded rational expectation.