双寡头Bertrand博弈模型动态分析与混沌控制

发布时间：2018-05-26 08:06

本文选题：价格博弈 + Bertrand模型　；参考：《统计与决策》2017年21期

【摘要】：基于价格博弈的Bertrand模型,文章构建四维的离散系统。依据现实经济活动,加入技术吸收效益讨论价格、利润和成本之间的关系。通过构建非线性离散动力系统,对系统的稳定性进行数值仿真。根据Sch-ur-Cohn判断得出内部趋于稳定的条件,延迟结构的时滞系数对系统的稳定性及复杂性有重要影响。并利用反馈控制对延时系统进行混沌控制,混沌现象在延时系统下成功的得到控制,使混沌行为运行于稳定轨迹,企业的市场竞争处于稳定状态,增加了企业的利润和收益。
[Abstract]:Based on the Bertrand model of price game, this paper constructs a four-dimensional discrete system. According to the actual economic activities, join the technology absorption benefits to discuss the relationship between price, profit and cost. The stability of the system is simulated by constructing a nonlinear discrete dynamic system. According to the Sch-ur-Cohn judgment, the condition of internal stability is obtained, and the delay coefficient of the delay structure has an important effect on the stability and complexity of the system. Feedback control is used to control the chaos of the time-delay system. The chaos phenomenon is successfully controlled under the time-delay system, which makes the chaotic behavior run on the stable track, and the market competition of the enterprise is in a stable state, which increases the profit and income of the enterprise.
【作者单位】：江苏大学管理学院;
【基金】：国家自然科学基金资助项目(71373104;71403108)
【分类号】：F224.32;F272

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