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

doi:10.1088/1674-1056/ae00af

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.

Keywords: quantum Cournot games Bayesian Nash equilibrium asymmetric quantization scheme asymmetric information

Received: 26 June 2025
Revised: 11 August 2025
Accepted manuscript online: 29 August 2025

PACS:	03.67.-a	(Quantum information)
	02.50.Le	(Decision theory and game theory)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: 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).

Corresponding Authors: Wensheng Jia
E-mail: wsjia@gzu.edu.cn

Cite this article:

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 2026 Chin. Phys. B 35 040307

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

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