具有异质产品的量子Cournot模型的动力学研究  

Dynamics analysis of quantum cournot model with heterogeneous products

作　　者：于红梅 YU Hongmei(College of Mathematics and Science,Lanzhou JiaotongUniversity,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《商丘师范学院学报》2024年第9期1-5,共5页Journal of Shangqiu Normal University

基　　金：国家自然科学基金项目(61863022);中国博士后科学基金项目(2017M623276)。

摘　　要：基于量子博弈理论和经典博弈理论,应用LDM量子化方案,引入量子纠缠参数,构建了一个具有异质产品的量子Cournot动力学模型.通过Jury判据和雅克比矩阵分析了Nash均衡点和边界均衡点的稳定性,应用Matlab进行数值模拟,对模型中的共存以及分岔现象进行研究,结果表明较小的调整速度更利于市场的稳定,纠缠参数的微小变化会引起模型吸引盆发生显著变化.Based on quantum game theory and classical game theory,a quantum Cournot dynamics model with heterogeneous products is constructed by applying the LDM quantization scheme and introducing quantum entanglement parameters.With the help of Jury criterion and Jacobi matrix,the stability of Nash equilibrium point and boundary equilibrium point is analyzed,and numerical simulation is applied to Matlab to investigate the coexistence as well as bifurcation phenomena in the model,and the results show that smaller adjustment speed is more conducive to the stability of the market,and the change of entanglement parameter causes significant changes in the attraction basin of the model.

关 键 词：量子纠缠 吸引子共存 异质产品 稳定性 分岔 

分 类 号：O231.2[理学—运筹学与控制论]