基于“模仿行为”策略的双寡头博弈模型分析  

Analysis of Duopoly Game Model Based on the "Imitation Behavior" Strategy

作　　者：徐玉华[1,2] 杜明娟 赵玥 周心莲 XU Yuhua;DU Mingjuan;ZHAO Yue;ZHOU Xinlian(School of Finance,Nanjing Audit University,211815,Nanjing,PRC;Jiangsu Key Laboratory of Financial Engineering,211815,Nanjing,PRC;College of Mathematics and Computer Science,Hanjiang Normal University,442000,Shiyan,Hubei,PRC)

机构地区：[1]南京审计大学金融学院,南京211815 [2]江苏省金融工程重点实验室,南京211815 [3]汉江师范学院数学与计算机学院,湖北十堰442000

出　　处：《江西科学》2019年第5期727-732,共6页Jiangxi Science

基　　金：国家自然科学基金面上项目(61673221);江苏省“六大人才高峰”高层次人才项目(DZXX-019);江苏省“青蓝工程”中青年学术带头人项目;江苏高校优势学科建设工程三期项目南京审计大学应用经济学(苏政办发[2018]87号);湖北省教育厅科研项目(B2018216)

摘　　要：目前,针对影响边际利润最大化的因素来构建寡头博弈模型的研究较少,而在现实情况下,有的厂商会通过了解博弈的历史信息来模仿他人的行为进行决策的调整。基于“模仿行为”建立了2个大小寡头厂商的动态博弈模型,分析了模型均衡解的稳定性、分岔图以及最大李雅普诺夫指数。研究结果表明:1)小厂商的“模仿行为”增强了其自身系统的稳定性,降低了对大厂商调节速度或幅度的敏感程度;2)小厂商的模仿行为也增强了大厂商稳定性;3)厂商间的竞争促进了2个厂商的良性发展;4)随着厂商调整系数的不断增大,系统经过一系列分岔最终进入混沌运动状态,导致市场失去稳定。根据分析得到的结论,提出了3点建议,从而为企业的科学决策提供了一些可供参考的理论依据。At present,there are few studies on the construction of oligarch game model aiming at the factors affecting the maximization of marginal profits.However,in reality,some firms will adjust their decision-making by understanding the historical information of the game and imitating the behavior of others.Based on"imitation behavior",this paper establishes two dynamic game models of oligopoly firms,and analyses the stability of equilibrium solution,bifurcation diagram and maximum Lyapunov index.The results show that:1)the imitation behavior of small firms enhances the stability of their own systems and reduces the sensitivity of large firms to the speed or extent of regulation;2)the imitation behavior of small firms enhances the stability of large firms;3)The competition between firms promotes the healthy development of two firms;4)with the increasing adjustment coefficient of firms,the system passes through a series bifurcations and enter the chaotic state eventually,resulting in market instability.According to the conclusions of the analysis,some corresponding strategies are proposed,which provide some theoretical basis for scientific decision-making of enterprises.

关 键 词：双寡头模型 有限理性 模仿行为 分岔 混沌 

分 类 号：F224.32[经济管理—国民经济]