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| Analysis of the Dynamic Evolution of the Quantum Cournot Model Under Different Rational Expectations |
| TIAN Yingnan, WANG Jiaqi, ZHANG Xinli
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| College of Mathematics, Liaoning Normal University, Dalian 116029, China |
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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.
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Received: 08 September 2020
Published: 18 June 2021
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