| 孙小茹，胡世麒，张新立*.信息非对称下量子库诺特博弈的复杂动力机制分析[J].海南师范大学学报自科版,2022,35(4):359-364 |
| 信息非对称下量子库诺特博弈的复杂动力机制分析 |
| Complex Dynamics Analysis for a Quantum Cournot Game withAsymmetric Information |
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| DOI： |
| 中文关键词: 量子库诺特双寡头博弈 信息非对称 量子纠缠 复杂动力学 |
| 英文关键词: quantum Cournot duopoly game asymmetric information quantum entanglement complex dynamics |
| 基金项目: |
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| 摘要点击次数: 768 |
| 全文下载次数: 521 |
| 中文摘要: |
| 针对现实双寡头市场中存在的信息非对称以及均衡解不稳定的问题，将量子博弈论与
非线性动力学理论结合起来，构建了信息非对称条件下的有限理性量子库诺特双寡头博弈模型，
计算了量子纳什均衡点的稳定性条件，并分析了纠缠度和企业产量调整速度对量子纳什均衡点的
稳定性以及系统复杂动力学特征的影响。结果表明：量子纠缠度与企业的产量调整速度是影响系
统稳定性的重要因素。最后从分岔、奇异吸引子及初始条件敏感性方面对模型进行了数值模拟。 |
| 英文摘要: |
| Aiming at the problem of asymmetric information in the real market and the unstability of equilibrium solution,
we combine quantum game theory with nonlinear dynamics theory to construct a bounded rational quantum Cournot duopo⁃
ly game model under asymmetric information, calculate the stability condition of quantum Nash equilibrium point, and ana⁃
lyze the influence of entanglement and enterprise output adjustment speed on the stability of quantum Nash equilibrium
point and the complex dynamics characteristics of the system. The results indicate that quantum entanglement and the out⁃
put adjustment speed of enterprises are significant factors affecting the stability of the system. Finally, the model is numeri⁃
cally simulated from the aspects of bifurcation, strange attractor and initial condition sensitivity. |
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