摘要
协调合作是人类重要的特征之一,但经典博弈理论难以精准刻画人类决策过程中的多样性与复杂性。为此,本研究整合量子计算与演化博弈理论,以协调博弈模型为基础,构建协调博弈量子演化模型,并对五种特殊情境的局部稳定性进行系统分析。研究结果表明:协调博弈演化模型是协调博弈量子演化模型的子集;在协调博弈演化模型中判断为不稳定的点由于状态叠加的作用,在量子版模型中也可以稳定;状态叠加和纠缠可以为协调博弈量子演化模型提供独特的解决方案,该方案中不同的参与者具有相同的收益且两个相同局部均衡点均是渐近稳定点。在对模型结果分析讨论的基础上,本文提出了量子系统管理应关注系统整体、鼓励包容、有效沟通三点管理启示。论文为通过微观行为发现中观现象提供了有益借鉴。
Coordination and cooperation are one of the important characteristics of mankind.However,the decision-making of human does not meet the principles of independent decision-making and complete rationality stipulated by classical decision-making,especially when both sides have certain common interests.To solve this problem,based on the theory of quantum computing and evolutionary game theory,coordination game is taken as the template,the two methods are integrated effectively,and the quantum evolutionary game model of coordination game is proposed.The stability of our model at five special cases is analyzed by using the stability theory of ordinary differential equations.In addition,based on the quantum system management,the effective management enlightenment is put forward.The results show that the quantum evolutionary game of coordination game can reproduce all the results of the evolutionary game model of coordination game.The points judged to be unstable in the evolutionary game model of coordination game can also be stable in the quantum counterpart due to the effect of state superposition.State superposition and entanglement can provide a unique solution for the quantum evolutionary game model of coordination game,in which different participants have the same payoffs and two local equilibrium points are asymptotically stable.Since analysis and discussion,it is proposed that quantum system management should pay attention to the whole system,encourage inclusiveness,and effectively communicate.It provides a useful reference for discovering meso-phenomena through micro behavior in this paper.
作者
黄定轩
吴永娇
卢锐
李树良
HUANG Ding-xuan;WU Yong-jiao;LU Rui;LI Shu-liang(School of Management,Chongqing University of Technology,Chongqing 400054,China;Business School,Wenzhou University,Wenzhou 325000,China;Economics and Management School,Hangzhou Normal University,Hangzhou 311121,China;Westminster Business School,the University of Westminster,London,NW15LS,UK;School of Economics&Management,Southwest Jiao Tong University,Chengdu 610031,China)
出处
《中国管理科学》
CSCD
北大核心
2023年第6期253-264,共12页
Chinese Journal of Management Science
基金
国家社会科学基金资助项目(21XGL002)
国家自然科学基金资助项目(71662008,41761112)
重庆市教育委员会人文社会科学研究项目(21SKGH176)。
关键词
协调博弈
量子博弈
演化博弈
稳定性分析
coordination game
quantum game
evolutionary game
stability analysis
