IDEAS home Printed from https://ideas.repec.org/a/taf/ecsysr/v13y2001i2p209-222.html
   My bibliography  Save this article

A Turnpike Theorem in the Closed Dynamic Leontief Model with a Singular Matrix of Capital Coefficients

Author

Listed:
  • Roman Kiedrowski

Abstract

The paper refers to the well-known Tsukui turnpike theorem on convergence of optimal growth trajectories in the closed dynamic Leontief model to the maximum balanced growth trajectory, called turnpike. In the original proof of this theorem, the assumption that the matrix B of capital coefficients is non-singular plays an essential role. For many reasons this assumption, very convenient for theoretical analysis, is not always satisfied in input-output systems built for empirical purposes. This paper fills the gap between theory and empirical studies, presenting a proof that convergence of optimal trajectories towards the turnpike is also a characteristic feature of the closed Leontief model in the case when matrix B is singular. The general idea of the proof is based on the approximation of a singular matrix B by an infinite sequence of non-singular matrices.

Suggested Citation

  • Roman Kiedrowski, 2001. "A Turnpike Theorem in the Closed Dynamic Leontief Model with a Singular Matrix of Capital Coefficients," Economic Systems Research, Taylor & Francis Journals, vol. 13(2), pages 209-222.
    • Handle: RePEc:taf:ecsysr:v:13:y:2001:i:2:p:209-222
    DOI: 10.1080/09537320120064885
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/09537320120064885
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/09537320120064885?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Dobos, Imre, 2007. "Egy megjegyzés Bródy András: Leontief zárt dinamikus modellje című dolgozathoz [A note on András Bródys study entitled Leontiefs closed dynamic model"]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(11), pages 1004-1011.

    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:taf:ecsysr:v:13:y:2001:i:2:p:209-222. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CESR20 .

    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.