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

Research Project

Project/Area Number 15330037
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic theory
Research InstitutionChuo University

Principal Investigator

MATSUMOTO Akio  Chuo University, Faculty of Economics, Professor, 経済学部, 教授 (50149473)

Co-Investigator(Kenkyū-buntansha) KAWASAKI Yasuo  Chuo University, Faculty of Economics, Professor, 経済学部, 教授 (00062175)
ASADA Toichoro  Chuo University, Faculty of Economics, Professor, 経済学部, 教授 (20151029)
ISHIKAWA Toshiharu  Chuo University, Faculty of Economics, Professor, 経済学部, 教授 (80266262)
YABUTA Masahiro  Chuo University, Faculty of Economics, Professor, 経済学部, 教授 (40148862)
INABA Toshio  Waseda University, School of Education, Professor, 教育学部, 教授 (30120950)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥15,000,000 (Direct Cost: ¥15,000,000)
Fiscal Year 2005: ¥5,000,000 (Direct Cost: ¥5,000,000)
Fiscal Year 2004: ¥3,900,000 (Direct Cost: ¥3,900,000)
Fiscal Year 2003: ¥6,100,000 (Direct Cost: ¥6,100,000)
KeywordsChaos / 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 / Bounded Rationality / Bifurcation / Nonlienar Dynamics / Density Function / Macro Dynamics / Hopf Bifurcation / コモンプール財 / 空間的自由参入競争 / 寡占小売市場
Research Abstract

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.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (34 results)

All 2006 2005 2004 2003 Other

All Journal Article (24 results) Book (3 results) Publications (7 results)

  • [Journal Article] Statistical Dynamics in Chaotic Cournot Model with Complementary Goods2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Journal of Economic Behavior and Organization (in press)(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Heterogeneous Strategies in Nonlinear Duopoly with Product Differentiation2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Journal of Pure Mathematics and Applications (in press)(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Controlling the Cournt-Nash Chaos2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Journal of Optimization Theory and Applications 128・no.2(in press)(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Keynesian Dynamics and the Wage-price Spiral : A Baseline Disequilibrium Model2006

    • Author(s)
      Toichiro Asada
    • Journal Title

      Journal of Macroeconomics 28

      Pages: 90-130

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dynamic Analysis of Policy Lag in a Keynesian-Goodwin Model : Stability, Instability, Cycle and Chaos2006

    • Author(s)
      Hiroyuki Yoshida
    • Journal Title

      Journal of Economic Behavior and Organization (in press)(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Statistical Dynamics in Chaotic Cournot Model with Complementary Goods2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Forthcoming in Journal of Economic Behavior and Organization

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Heterogeneous Strategies in Nonlinear Duopoly with Production Differentiation2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Forthcoming in Journal of Pure Mathematics and Applications

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Controlling the Cournot-Nash Chaos2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Forthcoming in Journal of Optimization Theory and Applications

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Keynesian Dynamics and the Wage-price Spiral : A Baseline Disequilibrium Model2006

    • Author(s)
      Toichiro, Asada
    • Journal Title

      Journal of Macroeconomics vol.28

      Pages: 90-130

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dynamic Analysis of Policy Lag in a Keynesian-Goodwin model : Stability, Instability, cycle and Chos2006

    • Author(s)
      Hiroyuki, Yoshida
    • Journal Title

      Forthcoming in Journal of Economic Behavior and Organization

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Keynesian Dynamics and the Wage-Price Spiral2006

    • Author(s)
      Toichiro Asada
    • Journal Title

      Journal of Macroeconomics 28

      Pages: 90-130

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Controlling the Cournot-Nash Chaos2006

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Journal of Optimization Theory and Applications 128

      Pages: 1-17

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Expectation-Stock Dynamics in Multi-Agent Fisheries2005

    • Author(s)
      Gian Italo Bishci
    • Journal Title

      Annals of Operations Research 137

      Pages: 299-329

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Expectation-Stock Dynamics in Multi-Agent Fisheries2005

    • Author(s)
      Gian-Italo Bishci
    • Journal Title

      Annals of Operations Research vol.137

      Pages: 299-329

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Density Function of Piecewise Linear Transformation2005

    • Author(s)
      Akio Matsumoto
    • Journal Title

      Journal of Economic Behavior and Organization 56

      Pages: 631-654

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Retail Market Structure and the Threat by The Manufacturer to Sell Goods directly to the Consumer2005

    • Author(s)
      Toshiharu Ishikawa
    • Journal Title

      Socio-Economic Planning Science 39

      Pages: 43-55

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Analytic Solutions of Nonlinear Cournot-Doupoly Game2005

    • Author(s)
      Mami Suzuki
    • Journal Title

      Discrete Dynamics in Nature and Society 4

      Pages: 119-133

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Holomorphic Solutions of a Functional Equation2005

    • Author(s)
      Mami Suzuki
    • Journal Title

      京都大学数理解析研究所講究録 1445

      Pages: 188-189

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Retail Market Structure and the Threat by the Manufacturer to Sell Goods Directly to the Consumer2005

    • Author(s)
      Toshiharu Ishikawa
    • Journal Title

      Socio-Economic Planning Sciences v.39

      Pages: 43-55

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Price Flexibility and Instability in a Macrodynamic Model with a Debt Effect2004

    • Author(s)
      Toichiro Asada
    • Journal Title

      Journal of International Economic Studies No.18

      Pages: 41-60

    • NAID

      110004682260

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Statistical Dynamics in Piecewise Linear Cournot Game with Heterogenous Duopolists2004

    • Author(s)
      Akio Matsumoto
    • Journal Title

      International Game Theory Review V.6・N.3

      Pages: 295-321

    • Related Report
      2004 Annual Research Report
  • [Journal Article] The Long Run Outcomes and Globaly Dynamics of a Duopoly Game with Misspecified Demand Functions2004

    • Author(s)
      Michael Kopel
    • Journal Title

      International Game Theory Review v.6・n.3

      Pages: 343-379

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A Competition Game with Knowledge Accumulation and Spillovers2004

    • Author(s)
      Gian-Italo Bischi
    • Journal Title

      International Game Theory Review v.6・n.3

      Pages: 323-341

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Money Supply and Economic Fluctuations2004

    • Author(s)
      Hiroyuki Yoshida
    • Journal Title

      Proceedings of 2004 International Symposium on Nonlinear Theory and its Applications 1

      Pages: 415-418

    • Related Report
      2004 Annual Research Report
  • [Book] Limit Pricing and Entry Dynamics with Heterogenous Firms in The Complex Dynamics of Economic Interaction, (ed.A.Kirman/M.Marsili)2004

    • Author(s)
      Toichiro Asada
    • Publisher
      Springer-Verlag
    • Related Report
      2004 Annual Research Report
  • [Book] Open Economy Macrodynamics : An Integrate Disequilibrium Approach2003

    • Author(s)
      Toichiro Asada
    • Total Pages
      540
    • Publisher
      Springer-Verlarg
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] Open Economy Macrodynamics : An Integrate Disequilibrium Approach2003

    • Author(s)
      Toichiro Asada
    • Publisher
      Springer-Verlag
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] Toichiro Asada, Hiroyuki Yoshida: "Coefficient Criterion for Four-dimensional Hopf Bifurcations"Chaos, Solitons and Fractals. vol.18. 525-536 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akio Matsumoto: "Let It Be : chaotic price instability can be beneficial"Chaos, Solitions and Fractals. vol.18. 745-758 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masahiro Yabuta: "Simple Thoretical Analysis of the Environmental Kuznets Curve"Discussio Paper (Institute of Economic Research). 45. 1-20 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masahiro Yabuta: "Governance, Pollution Control and the Environmental Kuznets Curve"Discussion Paper (Institute of Economic Reseach). 48. 1-27 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akio Matsumoto: "Statistical Dynamics in Piecewise Linear Cournot Game with Heterogenous Duopolists"Discussion Paper (Institute of Economic Reseach). 58. 1-33 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akio Matsumoto, Yasuo Nonaka: "Statistical Dynamics in Chaotic Cournot Model with Complementary Goods"Discussion Paper (Institute of Economic Reseach). 59. 1-17 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Toichiro Asada, et al.: "An Integrated Disequilibrium Approach"Springer-Verlag. 540 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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