Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players

doi:10.1088/1674-1056/ae00af

中国物理B ›› 2026, Vol. 35 ›› Issue (4): 40307-040307.doi: 10.1088/1674-1056/ae00af

Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players

Huaxin Chen(陈华鑫) and Wensheng Jia(贾文生)†

State Key Laboratory of Public Big Data, School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China

收稿日期:2025-06-26 修回日期:2025-08-11 接受日期:2025-08-29 出版日期:2026-03-24 发布日期:2026-04-01
通讯作者: Wensheng Jia E-mail:wsjia@gzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12461054) and the Science and Technology Key Foundation of Guizhou Province, China (Grant No. 2025089).

Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players

Huaxin Chen(陈华鑫) and Wensheng Jia(贾文生)†

State Key Laboratory of Public Big Data, School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China

Received:2025-06-26 Revised:2025-08-11 Accepted:2025-08-29 Online:2026-03-24 Published:2026-04-01
Contact: Wensheng Jia E-mail:wsjia@gzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12461054) and the Science and Technology Key Foundation of Guizhou Province, China (Grant No. 2025089).

摘要/Abstract

摘要： Building on the existing symmetric quantization model of the dynamic Cournot duopoly game (CDG) with asymmetric information, we extend it to an asymmetric quantization model and study the stability of the quantum Bayesian Nash equilibrium (QBNE) under heterogeneous expectations. We analyze the influence of various parameters on the stability of QBNE, with a particular focus on the impact of the parameter $\alpha$ on system stability. The results show that when $\alpha < 1$, under the same parameters, the quantum strategy of the asymmetric quantization model is more favorable for stabilizing the market. However, when $\alpha>1$, the quantum strategy of the symmetric quantization model is more conducive to stabilizing the market.

关键词: quantum Cournot games, Bayesian Nash equilibrium, asymmetric quantization scheme, asymmetric information

Abstract: Building on the existing symmetric quantization model of the dynamic Cournot duopoly game (CDG) with asymmetric information, we extend it to an asymmetric quantization model and study the stability of the quantum Bayesian Nash equilibrium (QBNE) under heterogeneous expectations. We analyze the influence of various parameters on the stability of QBNE, with a particular focus on the impact of the parameter $\alpha$ on system stability. The results show that when $\alpha < 1$, under the same parameters, the quantum strategy of the asymmetric quantization model is more favorable for stabilizing the market. However, when $\alpha>1$, the quantum strategy of the symmetric quantization model is more conducive to stabilizing the market.

Key words: quantum Cournot games, Bayesian Nash equilibrium, asymmetric quantization scheme, asymmetric information

中图分类号: (Quantum information)

03.67.-a

02.50.Le (Decision theory and game theory) 05.45.-a (Nonlinear dynamics and chaos)

Huaxin Chen(陈华鑫) and Wensheng Jia(贾文生). Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players[J]. 中国物理B, 2026, 35(4): 40307-040307.

Huaxin Chen(陈华鑫) and Wensheng Jia(贾文生). Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players[J]. Chin. Phys. B, 2026, 35(4): 40307-040307.

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Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players

Asymmetric model of the dynamic quantum Cournot duopoly game with asymmetric information and heterogeneous players

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