Interdisciplinary Study on Reconstruction of Oligopoly and Duopoly theory based on Nonlinear Dynamic theory

基于非线性动力学理论重构寡头和双寡头理论的跨学科研究

• 批准号: 15330037
• 负责人: MATSUMOTO Akio
• 金额: $ 9.6万
• 依托单位: Chuo University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15330037/
• 关键词: Chaos; Nonlinear Dynamics; Bottle-necked monopoly; KGM model; Nonlinear Duopoly Game; Chaos Control; Bifurcation Theory; Spatial Economics; 寡占ゲーム; インフレ・ターゲット; Chaos; Nonlinear Dynamics; Competition Game; Spillover; Stability; Oligopoly Game

This study extends the traditional dynamics study on Oligopoly and Duopoly models in two directions : one is to consider the effects caused by strong nonlinearities on dynamics, using the nonlinear economic dynamics theory and the other is to consider the effect caused by spatial factors.The main results that we obtain are the followings.1.Construction of attractor sets that trajectories converge when a stationary point is locally unstable.2.Clarification of the relation between parameters values and the structure of basin in a case of multistability.3.Construction of analytical solutions when a stationary state is locally stable.4.Possible occurrence of complex dynamics when spatial elements are introduced into the traditional regional model.5.Comparison of the effect caused by a delayed stabilization policy with the effect caused by spatial elements.

本研究在两个方向上扩展了寡头垄断和双寡头垄断模型的传统动力学研究：一种是考虑由强非线性对动力学的影响，利用非线性经济动力学理论和考虑空间因素的影响，得到了如下主要结果：1.构造了当一个不动点在局部时轨道收敛的吸引子集本文的主要内容包括：1.区域稳定性模型的建立; 2.多稳定性条件下参数值与流域结构的关系; 3.定态局部稳定时解析解的构造; 4.传统区域模型引入空间要素后可能出现的复杂动态; 5.延迟稳定政策与空间稳定政策的比较元素

项目成果

Statistical Dynamics in Chaotic Cournot Model with Complementary Goods

互补品混沌古诺模型的统计动力学

• 发表时间: 2006
• 期刊: Journal of Economic Behavior and Organization (印刷中)(forthcoming in)
• 作者: 松本昭夫;小野崎保;松本昭夫
• 通讯作者: 松本昭夫

Limit Pricing and Entry Dynamics with Heterogenous Firms in The Complex Dynamics of Economic Interaction, (ed.A.Kirman/M.Marsili)

经济互动的复杂动态中异质企业的限制定价和进入动态，（ed.A.Kirman/M.Marsili）

• 发表时间: 2004
• 作者: Toichiro Asada;Akio Matsumoto;Michael Kopel;篠塚 英子;Gian-Italo Bischi;大森正博;Hiroyuki Yoshida;Toichiro Asada
• 通讯作者: Toichiro Asada

Toichiro Asada, Hiroyuki Yoshida: "Coefficient Criterion for Four-dimensional Hopf Bifurcations"Chaos, Solitons and Fractals. vol.18. 525-536 (2003)

Toichiro Asada、Hiroyuki Yoshida：“四维 Hopf 分岔的系数准则”混沌、孤子和分形。

Akio Matsumoto: "Statistical Dynamics in Piecewise Linear Cournot Game with Heterogenous Duopolists"Discussion Paper (Institute of Economic Reseach). 58. 1-33 (2004)

Akio Matsumoto：“异质双寡头分段线性古诺博弈中的统计动力学”讨论论文（经济研究所）。

Holomorphic Solutions of a Functional Equation

函数方程的全纯解

• 发表时间: 2006
• 期刊: 関数方程式の解のダイナミクスと数値シミュレーション,京都大学数理解析研究所講究録 vol.1474
• 作者: A.Matsumoto;T.Onozaki;A.Matumoto;A.Matsumoto;Mami Suzuki
• 通讯作者: Mami Suzuki