| 具有时滞的寡头垄断博弈模型的Hopf分支 |
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| 引用本文： | 熊英,翟延慧,杨帆,马晓娜.具有时滞的寡头垄断博弈模型的Hopf分支[J].伊犁师范学院学报(自然科学版),2014(3):7-10. |
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| 作者姓名： | 熊英 翟延慧 杨帆 马晓娜 |
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| 作者单位： | 天津工业大学理学院,天津300387 |
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| 摘 要： | 主要研究了具有时滞的寡头垄断博弈模型的Hopf分支.首先,建立了一个动态的价格博弈模型,考虑企业从获取市场信息到执行信息有时间上的延迟,从而引入时滞修改了动态价格博弈模型.然后将时滞作为分支参数研究该模型的局部稳定性和Hopf分支的存在性.最后得出结论：当时滞通过一系列临界值时,模型在平衡点处产生了Hopf分支.
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| 关 键 词： | Hopf分支 延迟 稳定性 价格 动态博弈 |
Hopf Bifurcation for the Oligopoly Game Model with Delay |
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| XIONG Ying,ZHAI Yan-hui,YANG Fan,MA Xiao-na.Hopf Bifurcation for the Oligopoly Game Model with Delay[J].Journal of Ili Normal University,2014(3):7-10. |
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| Authors: | XIONG Ying ZHAI Yan-hui YANG Fan MA Xiao-na |
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| Institution: | (School of Science, Tianjin Polytechnic University, Tianjin 300387, China) |
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| Abstract: | This paper mainly studies the Hopf bifurcation for the oligopoly game model with delay. Firstly,we constitute a model of dynamic price game, and then we modify the dynamic price game model by assumed to experience delay in obtaining and implementing information. What＇s more, we regard delay as bifurcating parameter to study the dynamical behavior, local asymptotical stability and existence of Hopf bifurcation are studied. Finally, a conclusion is given that Hopf bifurcation occurs in equilibrium when time delay passes through a sequence of critical values. |
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| Keywords: | Hopf bifurcation delay stability price dynamic game |
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