IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v14y1999i3p741-749.html
   My bibliography  Save this article

A simple example of complex dynamics

Author

Listed:
  • Anjan Mukherji

    (Centre for Economic Studies and Planning, Jawaharlal Nehru University, New Delhi 110 067, INDIA)

Abstract

A discrete tatonnement process is analysed within the context of a two-person, two-good exchange economy where each person has a Cobb-Douglas utility function. This process is shown to exhibit period doubling bifurcation, topological and ergodic chaos.

Suggested Citation

  • Anjan Mukherji, 1999. "A simple example of complex dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 741-749.
    • Handle: RePEc:spr:joecth:v:14:y:1999:i:3:p:741-749
    Note: Received: June 22, 1998; revised version: July 15, 1998
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00199/papers/9014003/90140741.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, December.
    2. Kaizoji, Taisei, 2010. "Multiple equilibria and chaos in a discrete tâtonnement process," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 597-599, December.
    3. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
    4. Ahmad K. Naimzada & Serena Sordi, 2018. "On controlling chaos in a discrete†time Walrasian tâtonnement process," Metroeconomica, Wiley Blackwell, vol. 69(1), pages 178-194, February.
    5. Kitti, Mitri, 2010. "Convergence of iterative tâtonnement without price normalization," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1077-1091, June.
    6. Cavalli, Fausto & Naimzada, Ahmad, 2015. "A tâtonnement process with fading memory, stabilization and optimal speed of convergence," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 116-129.
    7. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, December.
    8. Yokoo, Masanori & Ishida, Junichiro, 2008. "Misperception-driven chaos: Theory and policy implications," Journal of Economic Dynamics and Control, Elsevier, vol. 32(6), pages 1732-1753, June.
    9. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    10. Ahmad K. Naimzada & Serena Sordi, 2016. "On controlling chaos in a discrete tâtonnement process," Department of Economics University of Siena 729, Department of Economics, University of Siena.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:14:y:1999:i:3:p:741-749. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.