Research On Complex Dynamic Mechanism Of Duopoly Cournot Game Model Under Asymmetric Information

Oligopoly has always been one of the most advanced fields in economic management,especially in today’s era when the country implements the innovation-driven development strategy and emphasizes the original scientific and technological innovation "from 0 to 1".Although the traditional oligopoly theory system based on classical game has been formed since Cournot pioneered the oligopoly model in 1838,its subsequent development has not been smooth.Nash equilibrium,a core problem,has been perplexing scholars,among which its stability and complexity are the most concerned,and quantum game theory and nonlinear dynamic theory provide a useful way to solve this problem.At present,most of the research is based on complete information conditions,which is difficult to achieve in the real oligopoly market.Participants are generally asymmetric in information,because participants inevitably face different conditions,strategies and benefits,and one participant may have more or better information than other participants.Based on the above analysis,this thesis studies the complex dynamic mechanism of equilibrium solutions of classical and quantum Cournot models under asymmetric information conditions,in order to explore the influence of asymmetric information and quantum entanglement on the stability and complexity of Nash equilibrium solutions of Cournot model,and provide theoretical guidance for enterprises’ output decision-making in real competitive environment.The main contents of this thesis are as follows:(1)In view of the influence of asymmetric information on the nonlinear dynamic evolution of the classical Cournot duopoly model and its equilibrium solution,a classical Cournot dynamic game model with quadratic cost function under the condition of bounded rational expectations is constructed by using game theory and nonlinear dynamic theory.The equilibrium stability of Cournot dynamic output game and the nonlinear dynamic evolution characteristics of the system after the equilibrium point is unstable are systematically analyzed under symmetric information and asymmetric information.The results show that when the output adjustment speed is too high,the dynamic system will lose its stability,and bifurcation and chaos will appear,and the introduction of asymmetric information can improve the stability of the dynamic system.(2)Based on the classical Cournot nonlinear dynamic model with asymmetric information,the variable of quantum entanglement is introduced.By using quantum game theory and nonlinear dynamic theory,the dynamic evolution models of bounded rational quantum Cournot duopoly game with symmetric information and asymmetric information are constructed respectively,and the effects of asymmetric information and quantum entanglement on the stability of Nash equilibrium point and the complex dynamic behavior of the system are analyzed.The results show that the introduction of asymmetric information and quantum entanglement can improve the stability of equilibrium point of bounded rational quantum Cournot duopoly system,and both enterprises can avoid chaos by choosing appropriate output adjustment speed.