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带时滞的多寡头古诺模型及其稳定性 被引量:4

Multi-oligarch Cournot Competition Model with Time Delay and Its Stability
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摘要 研究了调整函数中引入时滞的有限理性多寡头古诺竞争模型,分别建立了成本函数为线性形式的双寡头及通信市场中成本函数为线性形式的三寡头竞争模型。分析了双寡头模型中的纳什均衡点及通信市场三寡头模型市场行为。时滞的引入更加有效地延迟了市场混沌分岔等行为,当某些参数发生变化时,影响系统的稳定性,并数值仿真分析了系统稳定性。 This paper studies multi-oligarch cournot model with bounded rationality into which time delay is incorported in adjust function by taking the memory of the market into consideration,which has a linear cost function.After that,a delayed triopoly game in telecommunication market with linear cost function is studied.Then we analyze Nash equilibrium points of the Cournot game and the dynamical behavior of the triopoly games with time delay in chinese 3G telecommunication market.The results show that the model is more effective in delaying the bifurcation and chaos in the market,that the changes of some parameters affect the stability of the system.Numerical simulations are given to study the stability of systems.
作者 姚洪兴 张芳
出处 《系统工程》 CSSCI CSCD 北大核心 2011年第11期115-118,共4页 Systems Engineering
基金 国家自然科学基金资助项目(70871056) 江苏省"六大人才高峰"项目
关键词 有限理性 寡头竞争 时滞 混沌 纳什均衡 Bounded Rationality Oligarch Competition Time Delay Chaos Nash Equilibrium
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