大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2011年
4期
89-92
,共4页
潘玉荣%贾朝勇%张裕生%赵玉梅
潘玉榮%賈朝勇%張裕生%趙玉梅
반옥영%가조용%장유생%조옥매
有限理性%双寡头%博弈%混沌
有限理性%雙寡頭%博弈%混沌
유한이성%쌍과두%박혁%혼돈
bounded rationality%duopoly%game%chaos
以Bowley博弈模型为核心,将寡头的调整速度作为企业的竞争策略,并对该模型Nash均衡点的稳定域进行分析;通过数值仿真把双寡头的策略区域分为均衡区、周期区和混沌区。研究发现双寡头博弈市场中,寡头为了获得更大的利润而不断改变自身产量策略,这是市场出现周期波动、甚至陷入混沌的根本内因.
以Bowley博弈模型為覈心,將寡頭的調整速度作為企業的競爭策略,併對該模型Nash均衡點的穩定域進行分析;通過數值倣真把雙寡頭的策略區域分為均衡區、週期區和混沌區。研究髮現雙寡頭博弈市場中,寡頭為瞭穫得更大的利潤而不斷改變自身產量策略,這是市場齣現週期波動、甚至陷入混沌的根本內因.
이Bowley박혁모형위핵심,장과두적조정속도작위기업적경쟁책략,병대해모형Nash균형점적은정역진행분석;통과수치방진파쌍과두적책략구역분위균형구、주기구화혼돈구。연구발현쌍과두박혁시장중,과두위료획득경대적리윤이불단개변자신산량책략,저시시장출현주기파동、심지함입혼돈적근본내인.
This paper gives further analysis about the stable region of Nash equilibrium point at the core of Bowley's Duopoly model with bounded rationality,And the adjustment speed of the output quantity is looked upon the production strategy in it.The numerals simulates duopoly's strategic region which is separated into three parts—equilibrated region,periodic region,chaotic region.The study suggests that oligarch would regulate initiatively the adjustment speed of the output quantity for higher profit,which is the intrinsic factor that the duopoly game market fluctuates periodically or sinks into chaotic state.