延迟效应对寡头市场稳定性的影响  

Effect of Delay on Stability of Monopoly Model

作　　者：孙振武[1] 

机构地区：[1]上海电机学院数理教学部,上海200240

出　　处：《上海电机学院学报》2010年第6期353-357,共5页Journal of Shanghai Dianji University

基　　金：上海电机学院科研启动经费项目(08C405)

摘　　要：根据Nash均衡理论,利用计算机模拟,研究了延迟效应对寡头市场稳定性的影响。发现Agiza等人的结论"延迟效应能增加系统的稳定性"不能被接受,并非所有延迟效应都能增加系统的稳定性,在延迟效应系数较大的情况下,延迟效应不利于系统的稳定性。通过对两步延迟效应的讨论,发现两步延迟效应系数之和存在一个最佳值,此时系统的稳定性最强。Effect of delay on stability of the monopoly model is analyzed by computer simulation according to Nash equilibrium theory.It is found that the conclusion of Agiza et al.That delay can improve stability of monopoly model is not acceptable.That stability can be improved when delay exists is not true.Actually delay cannot benefit stability when the delay coefficient is large.The sum of delay coefficients has a best value that results in the best stability.

关 键 词：混沌 LYAPUNOV指数 寡头市场 延迟 

分 类 号：O225[理学—运筹学与控制论] F713[理学—数学]