Study On Complexity Of Mixed Games Among The Upstream And Downstream Oligopolies In Manufacturing Based On Cooperation In Production Capacity

Along with the promotion of the strategy of "the Belt and Road Initiative "," Cooperation in production capacity" launched between China and the related countries.Transferring the domestic advanced surplus capacity to foreign countries by Cooperation in production capacity can help Chinese enterprises gain international market,promote domestic industrial upgrading,and promote the industrialization of related countries.Many industries in Chinese manufacturing industry have developed to a competition of oligopoly,such as TV,air conditioning,crane,excavator,etc.Due to the saturation of the domestic market,the oligopoly began to open up overseas markets.They invest abroad to build assembly facilities,and domestic enterprises provide upstream materials or core components,so the upstream enterprises and upstream enterprises form a cooperative and competitive relationship.Based on the domestic studies and foreign studies,by means of nonlinear dynamics theory and game theory,we make our study on upstream and downstream oligopoly mixed games models.We analyze the complexity of the models,and finally get the conclusion of theoretical and practical significance.The innovative work and main research results are as follows:1.Under the background of Cooperation in production capacity,a Chinese enterprise and a foreign enterprise may form upstream and downstream duopoly,so we establish a Cournot-Bertrand duopoly game model.We analyze the existence and local stability of the equilibrium point of the model,and study the complex dynamic behavior of the model,such as influence of the parameters on the stability of the system,the impact of system instability on the average profits of both sides,the influence of parameter variation on the initial value of both sides of the decision,and the economic implications are explained.2.We build a delayed Cournot-Bertrand duopoly game model and study its complexity.The influence of parameter variation on the stability of the system is studied.The complexity of the system is analyzed by means of numerical simulation,2D bifurcation phase portraits,double Largest Lyapunov exponent,basins of attraction and the average profit graphs.3.Considering domestic oligarchs may cooperate to invest and build factories abroad,a Cournot-Bertrand triopoly game model is established,and the dynamic complexity of the model is studied.The local stability of the equilibrium points are studied by the three-dimensional stability region after the classification of the parameters.The influence of parameter variation on the stability of the system is studied.The complexity of the system is analyzed by 2D bifurcation phase portraits,double Largest Lyapunov exponent,basins of attraction and the average profit graphs,4 dimensional average profit graphs.4.Considering that the oligopoly may invest overseas and compete with each other at home and abroad,a Cournot-Bertrand four oligopoly game model is established,the complexity of the model is studied.After classification of the parameters,the local stability of the equilibrium points are studied,and the influence of the parameters on the stability of the system is studied.The complexity of the system is analyzed by numerical simulation,which uses 2D bifurcation phase portraits,basins of attraction and average profit graphs,4 dimensional average profit graphs.