Abstract：Aiming at the stability of the Cournot duopoly quantum Nash equilibrium, using quantum game theory and nonlinear dynamics theory, a dynamic game model with quantum entanglement as a variable under different rational expectations is constructed. We analyze the equilibrium points and stability conditions of the model. It is concluded that the quantum equilibrium point is locally stable under certain parameter conditions. The adjustment speed of firm will cause the equilibrium point to exhibit complexity characteristics, and quantum entanglement can effectively control its stability. This paper makes a numerical simulation analysis of the model. When the parameters do not satisfy the stability conditions, chaotic characteristics such as bifurcation and strange attractors will appear.
田英楠, 王嘉琪, 张新立. 不同理性预期下量子库诺特模型的动态演化分析[J]. 复杂系统与复杂性科学, 2021, 18(3): 45-50.
TIAN Yingnan, WANG Jiaqi, ZHANG Xinli. Analysis of the Dynamic Evolution of the Quantum Cournot Model Under Different Rational Expectations. Complex Systems and Complexity Science, 2021, 18(3): 45-50.
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