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雙寡頭Bertrand博弈模型動態(tài)分析與混沌控制

發(fā)布時間:2018-05-26 08:06

  本文選題:價格博弈 + Bertrand模型 ; 參考:《統(tǒng)計(jì)與決策》2017年21期


【摘要】:基于價格博弈的Bertrand模型,文章構(gòu)建四維的離散系統(tǒng)。依據(jù)現(xiàn)實(shí)經(jīng)濟(jì)活動,加入技術(shù)吸收效益討論價格、利潤和成本之間的關(guān)系。通過構(gòu)建非線性離散動力系統(tǒng),對系統(tǒng)的穩(wěn)定性進(jìn)行數(shù)值仿真。根據(jù)Sch-ur-Cohn判斷得出內(nèi)部趨于穩(wěn)定的條件,延遲結(jié)構(gòu)的時滯系數(shù)對系統(tǒng)的穩(wěn)定性及復(fù)雜性有重要影響。并利用反饋控制對延時系統(tǒng)進(jìn)行混沌控制,混沌現(xiàn)象在延時系統(tǒng)下成功的得到控制,使混沌行為運(yùn)行于穩(wěn)定軌跡,企業(yè)的市場競爭處于穩(wěn)定狀態(tài),增加了企業(yè)的利潤和收益。
[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.
【作者單位】: 江蘇大學(xué)管理學(xué)院;
【基金】:國家自然科學(xué)基金資助項(xiàng)目(71373104;71403108)
【分類號】:F224.32;F272

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本文編號:1936446


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