Nonlinear dynamics of a quantum Cournot duopoly game with heterogeneous players

被引：21
|
作者：
Shi, Lian [1 ]
Xu, Feng [2 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Finance, Bengbu 233030, Peoples R China
[2] Nanjing Univ, Sch Management & Engn, Nanjing 210093, Jiangsu, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Quantum Cournot duopoly game; Quantum entanglement; Heterogeneous players; Local stability analysis; Chaos; BERTRAND DUOPOLY;
D O I：
10.1007/s11128-019-2338-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a dynamic quantum Cournot duopoly game with heterogeneous players is proposed by applying the Li-Du-Massar scheme. We analyze the influence of the degree of quantum entanglement (DQE) on stability and dynamics behavior of the system. The result shows that: (i) The corresponding classical Cournot duopoly game is a special case of the dynamic quantum Cournot duopoly game. (ii) The stability region may increase or decrease as the DQE increases. It depends on the relative marginal cost difference. (iii) Numerical simulations show that the complicated dynamics behaviors of quantum Cournot game is different from that of corresponding classical model.
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页数：15
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