时滞异质三寡头模型的分岔和混沌控制被引量：3

Bifurcation and Chaos Control of a Delayed Heterogeneous Triopoly Model

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摘要考虑到决策的滞后性,建立一个带时滞的非线性三寡头贝特兰博弈模型.分析模型纳什均衡点的稳定条件,通过数值模拟的方法得到模型的动力学性质,发现模型产生倍周期分岔和混沌现象.当延迟参数的取值在一定范围内时,寡头的价格波动就会趋于稳定.为了避免寡头博弈市场价格的剧烈波动和利润的下降,采用相空间压缩的方法对系统的混沌进行控制,数值模拟结果表明,受控的系统消除了混沌. Considering policy decisions are often accompanied with time delay,a nonlinear triopoly Bertrand heterogeneous model with time delay are established in this paper.The stability conditions of the Nash equilibrium point of the model is investigated.Numerical simulations show double-period bifurcation and chaos of the model.Especially,the introduction of delay factor,we get that the product prices will be more stable if the oligopolies price adjust based on current and previous prices with a suitable weight.In order to avoid the oligarch＇ s price violent fluctuation and profit decreasing,a method called ＂phase space compression＂ is implemented to control chaos,and numerical simulations indicate that the chaos of controlled system eliminates.

作者李佼瑞白冰冰

机构地区西安财经学院西安统计研究院

出处《数学的实践与认识》北大核心 2015年第6期212-219,共8页 Mathematics in Practice and Theory

基金国家自然科学基金(11302157)

关键词三寡头模型异质策略时间延迟相空间压缩方法 triopoly model heterogeneous strategies time delay phase space compression method

分类号 O415.5 [理学—理论物理]

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