有限理性双寡头博弈模型的复杂性分析  

Complexity Analysis for a Duopoly Game with Bounded Rationality

作　　者：潘玉荣[1] 贾朝勇[1] 张裕生[1] 赵玉梅[1] 

机构地区：[1]蚌埠学院数理系,安徽蚌埠233000

出　　处：《大学数学》2011年第4期89-92,共4页College Mathematics

基　　金：安徽省高等学校优秀青年教师人才科研资助项目(2010SQRL115);安徽省教育厅优秀青年人才基金项目(2009SQRZ124)

摘　　要：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.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.

关 键 词：有限理性 双寡头 博弈 混沌 

分 类 号：F224[经济管理—国民经济]