基于分支理论的企业研发竞争的复杂性与仿真  

Complexity analysis and simulation of firms' R&D competition based on theory of bifurcations

作　　者：胡荣[1] 

机构地区：[1]南京航空航天大学民航学院,南京210016

出　　处：《哈尔滨商业大学学报（自然科学版）》2012年第6期759-763,共5页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金(71201082);中国博士后科学基金(2011M500920);江苏省高校哲学社会科学基金(2012SJD630083);中央高校基本科研业务费专项资金(NR2012029)

摘　　要：利用动力系统的分支理论研究了企业研发竞争模型,讨论了模型Nash均衡点的存在性与稳定性,并对该模型进行了数值仿真.仿真实验结果表明,过大的研发投入水平调整速度将导致系统出现分支、混沌等复杂的动力学现象;与Nash均衡状态下企业的研发投入水平相比,系统进入分叉或混沌状态后的企业研发平均投入水平均有所下降;技术溢出率对企业研发平均投入水平的影响随系统状态的变化而不同.最后,应用延迟反馈控制法实现了对系统混沌态的控制.By using the theory of bifurcations of dynamical systems,the model of dynamical RD competition in duopoly under bounded rationality was investigated,and the existence and stability of the Nash equilibrium point of this model were discussed.Simulation results showed that the complex dynamics,such as,bifurcations,chaos were displayed when the value of RD input adjustment speed was high.Compared with the equilibrium RD input,the average RD input decrease when the system in bifurcations or chaos state.Technological spillovers exerted different influences on average RD input when the system in different states.Finally,the chaos state of dynamical system was controlled by the use of the delayed feedback control method.

关 键 词：有限理性 研发 混沌控制 技术溢出 分支理论 

分 类 号：N94[自然科学总论—系统科学]