| 双寡头不同理性博弈模型分析 |
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| 引用本文： | 张骥骧,达庆利.双寡头不同理性博弈模型分析[J].东南大学学报(自然科学版),2006,36(6):1029-1033. |
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| 作者姓名： | 张骥骧 达庆利 |
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| 作者单位： | 东南大学经济管理学院,南京,210096 |
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| 基金项目： | 高等学校博士学科点专项科研基金资助项目（20030286008）. |
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| 摘 要： | 为研究双寡头垄断市场中企业产量决策行为,基于有限理性的假设,建立了一个不同理性、不同结构成本函数的双寡头博弈模型,定理证明了该模型Nash均衡点的存在性,并给出了在不同参数条件下Nash均衡点稳定性的充分条件,然后数值模拟出分支、混沌和奇异吸引子等复杂的动力学现象.分析表明寡头理性的变化会对博弈结果的稳定性产生较大影响,并可能会导致混沌的市场状态.
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| 关 键 词： | 不同理性 离散动力系统 Cournot模型 混沌 |
| 文章编号： | 1001-0505（2006）06-1029-05 |
| 收稿时间： | 04 3 2006 12:00AM |
| 修稿时间： | 2006-04-03 |
Analysis of duopoly game with different rationality in oligopoly market |
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| Zhang Jixiang,Da Qingli.Analysis of duopoly game with different rationality in oligopoly market[J].Journal of Southeast University(Natural Science Edition),2006,36(6):1029-1033. |
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| Authors: | Zhang Jixiang Da Qingli |
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| Institution: | School of Economics and Management, Southeast University, Nanjing 210096, China |
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| Abstract: | Based on the players with bounded rationality,a game model is built to analyze enterprises' nonlinear duopoly game with heterogeneous players and different function of cost.Theorems proves that Nash equilibria of this system is existent.Under different parametric conditions,various sufficient conditions to guarantee the stability of the Nash equilibrium point are given.The complex dynamics,bifurcations,strange attractor and chaos are displayed by simulating numerically.The result shows that enterprise's expectations have an impact on result of duopoly game and may cause a market structure to behave chaotically. |
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| Keywords: | heterogeneous expectations discrete dynamical system Cournot model chaos |
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