摘要
利用非线性动力系统的分支理论研究了有限理性双寡头Stackelberg产量竞争模型,讨论了该模型均衡点的存在性与稳定性,并数值仿真出该模型倍岔、混沌等复杂的动力学现象。研究结果表明:产量调整速度的变化对模型的稳定有显著的影响;系统的波动对于双寡头并非都是不利的;领先者的先动优势可使其从某些条件下的系统波动中获利。在此基础上,运用延迟反馈控制法对Stackelberg产量竞争模型的混沌控制进行了解析分析和数值仿真,结果表明选择合适的控制因子可使模型稳定在Nash均衡。
By using the theory of bifurcations of dynamical systems, the model of sequential competition in duopoly under bounded rationality is investigated, and the existence and stability of the equilibrium point of this model are discussed. Simulation results show that the complex dynamics, such as, bifurcations, chaos are displayed. Simulation results also show that the speed of quantity adjustment has an obvious impact on the results of model, fluctuation of system isn＇ t harmful to both of duopoly, the first-mover advantage can make leader profit under some types of system fluctuation. In addition, chaos control of sequential competition model is analyzed with delayed feedback control method;numerical simulations indicate that Nash equilibrium of sequential competition model enable to maintainable if suitable control parameter is chosen.
出处
《系统仿真技术》
2011年第2期109-115,共7页
System Simulation Technology
基金
南京航空航天大学引进人才科研基金资助项目(1007-YAH10025)
