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2011 Fiscal Year Final Research Report

Economic Dynamics with time delays and nonlinearities

Research Project

  • PDF
Project/Area Number 21530172
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MATSUMOTO Akio  中央大学, 経済学部, 教授 (50149473)

Research Collaborator FERENC Szidarovszky  University of Arizona, Department of Systems and Industrial, Engineering
Project Period (FY) 2009 – 2011
Keywords経済動学 / 非線形動学 / カオス / 時間遅延 / 連続時間モデル / 分岐
Research Abstract

Applying the nonlinear dynamic theory and using the delay differential equations, we reconsider not only classical business cycles models but the canonical microeconomic theory concerning monopoly and duopoly. It is analytically and numerically demonstrated that any nonlinear economic dynamic models can generate simple dynamics such as a limit cycles if the delays are continuously distributed and complex dynamics involving chaos if the delays are fixed.

  • Research Products

    (21 results)

All 2012 2011 2010 2009

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (7 results) Book (3 results)

  • [Journal Article] Nonlinear delay monopoly with bounded rationality2012

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Chaos, Solitons and Fractals

      Volume: vol.45 Pages: 507-519

    • Peer Reviewed
  • [Journal Article] Dynamics in linear Cournot duopoly with two time delays2011

    • Author(s)
      Matsumoto, A. and F. Szidarovszky, H. Yoshida
    • Journal Title

      Computational Economics

      Volume: vol.38 Pages: 311-327

    • Peer Reviewed
  • [Journal Article] Nonlinear duopoly games with advertisement revisited2011

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      International Game Theory Review

      Volume: vol.12 Pages: 363-384

    • Peer Reviewed
  • [Journal Article] Delay differential neoclassical growth model2011

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Journal of Economic Behavior and Organization

      Volume: vol.78 Pages: 272-289

    • Peer Reviewed
  • [Journal Article] Stability, Bifurcation and Chaos in N-Firm Nonlinear Cournot Game2011

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Discrete Dynamics in Nature and Society

      Volume: vol.2011 Pages: 380530

    • Peer Reviewed
  • [Journal Article] Cartelizing groups in dynamic hyperbolic oligopoly with antitrust threshold2010

    • Author(s)
      Matsumoto, A.
    • Journal Title

      Australian Economic Papers

      Volume: vol.49 Pages: 289-300

    • Peer Reviewed
  • [Journal Article] Delayed dynamics in heterogeneous competition with product differentiation2010

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Nonlinear Analysis : Real World Applications

      Volume: vol.11 Pages: 601-611

    • Peer Reviewed
  • [Journal Article] Dynamic oligopoly with partial cooperation and antitrust threshold2010

    • Author(s)
      Matsumoto, A.
    • Journal Title

      Journal of Economic Behavior and Organization

      Volume: vol.73 Pages: 259-272

    • Peer Reviewed
  • [Journal Article] Continuous Hicksian trade cycle model with consumption and investment time delays2010

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Journal of Economic Behavior and Organization

      Volume: vol.75 Pages: 94-114

    • Peer Reviewed
  • [Journal Article] A special labor-managed oligopoly2009

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Mathematica Pannonics

      Volume: vol.20 Pages: 291-302

    • Peer Reviewed
  • [Journal Article] Note on Goodwin's 1951 nonlinear acceleration model with investment lag2009

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Journal Title

      Journal of Economic Dynamics and Control

      Volume: vol.33 Pages: 832-842

    • Peer Reviewed
  • [Presentation] Nonlinear delay monopoly with bounded rationality2012

    • Author(s)
      Matsumoto Akio
    • Organizer
      2012 international Nonlinear Science Conference
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2012-03-15
  • [Presentation] Nonlinear monopoly with fixed time delays2011

    • Author(s)
      Matsumoto Akio
    • Organizer
      2011 World Congress on Engineering and Technology
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2011-10-29
  • [Presentation] Discrete-time delay dynamics of boundedly rational monopoly2011

    • Author(s)
      Matsumoto Akio
    • Organizer
      7^<th> International Conference on Nonlinear Economic Dynamics
    • Place of Presentation
      Cartagena, Spain
    • Year and Date
      2011-06-02
  • [Presentation] Delay differential neoclassical growth model2011

    • Author(s)
      Matsumoto Akio
    • Organizer
      Simon Kuznets International Symposium Kiev
    • Place of Presentation
      Ukraine
    • Year and Date
      2011-05-25
  • [Presentation] A little help from my friend : international subsidy game with hyperbolic demand2010

    • Author(s)
      Matsumoto Akio
    • Organizer
      6^<th> International Workshop on Modelli Dinamici in Economia e Fianza
    • Place of Presentation
      Urbino, Italy
    • Year and Date
      2010-09-25
  • [Presentation] Price and quantity competition in dynamic differentiated oligopoly games2010

    • Author(s)
      Matsumoto Akio
    • Organizer
      3^<rd> International Nonlinear Science Conference, Palermo
    • Place of Presentation
      Sicily, Italy
    • Year and Date
      2010-03-16
  • [Presentation] Dynamic Goodwin's cycle with fixed and continuously distributed time delays2009

    • Author(s)
      Matsumoto Akio
    • Organizer
      6^<th> international conference on Nonlinear Economic Dynamics
    • Place of Presentation
      Jonkoping, Sweden
    • Year and Date
      2009-06-01
  • [Book] Dynamic Goodwin cycle with fixed and continuously distributed time delays2011

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Total Pages
      77-91
    • Publisher
      Nova Science Publishers
  • [Book] Heterogeneous competition in differentiated duopoly with behavioral uncertainty2011

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Total Pages
      161-176
    • Publisher
      Nova Science Publishers
  • [Book] Delay differential nonlinear economic models2010

    • Author(s)
      Matsumoto, A. and F. Szidarovszky
    • Total Pages
      195-214
    • Publisher
      Springer

URL: 

Published: 2013-07-31  

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