量子纠缠条件下古诺博弈模型均衡解的动态演化分析  

Dynamic evolution analysis of equilibrium solution of Cournot game model under quantum entanglement

作　　者：张新立[1] 胡世麒 张俊哲 孙小茹 ZHANG Xinli;HU Shiqi;ZHANG Junzhe;SUN Xiaoru(School of Mathematics,Liaoning Normal University,Dalian 116029,China;School of Business and Tourism Management,Yunnan University,Kunming 650091,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029 [2]云南大学工商管理与旅游管理学院,云南昆明650091

出　　处：《辽宁师范大学学报（自然科学版）》2023年第1期1-5,共5页Journal of Liaoning Normal University:Natural Science Edition

基　　金：教育部人文社会科学规划项目(21YJA630116);辽宁省教育厅基本科研项目(LJKMZ20221412)。

摘　　要：利用量子博弈与非线性动力理论,构建了有限理性预期下的动态量子古诺博弈模型,分析了量子纠缠对均衡解稳定性的影响.结果发现:量子纠缠能降低均衡解的稳定性,企业产量调整速度达到某一阈值会导致该系统进入混沌状态,纠缠度增加了系统的混沌状态.最后通过数值模拟验证了理论的正确性.Based on quantum game and nonlinear dynamic theory,we set up a dynamic quantum Cournot game model with bounded rationality expectation,analyze the influence of quantum entanglement on the stability of the equilibrium solution.The results show that quantum entanglement can reduce the stability of the Nash equilibrium.The system will enter a chaotic state when the output adjustment speed of a firm reaches a certain threshold,and quantum entanglement will accelerate the evolution of the chaotic state of the system.Finally,the theory is verified by numerical simulation.

关 键 词：古诺博弈模型 量子纠缠度 均衡解 动态演化 

分 类 号：O225[理学—运筹学与控制论]