Dynamics analysis of quantum cournot model with heterogeneous products
Based on quantum game theory and classical game theory,a quantum Cournot dynamics model with heterogeneous products is constructed by applying the LDM quantization scheme and introducing quantum entanglement parameters.With the help of Jury criterion and Jacobi matrix,the stability of Nash equilibrium point and boundary equilibrium point is analyzed,and numerical simulation is applied to Matlab to investigate the coexistence as well as bifurcation phenomena in the model,and the results show that smaller adjustment speed is more conducive to the stability of the market,and the change of entanglement parameter causes significant changes in the attraction basin of the model.