IDEAS home Printed from
   My bibliography  Save this paper

Multiplicity, Overtaking and Convergence in the Lucas Two-Sector Growth Model


  • José Ramón Ruiz-Tamarit


This paper provides the complete closed-form solution to the Lucas two-sector model of endogenous growth. We study the issues of existence, unique-ness, multiplicity, positivity, transitional dynamics and long-run growth, re-lated to the competitive equilibrium paths. We identify the parameter range where the different results hold and deduce the entire trajectories for the original variables. We revise the results on convergence and overtaking which arise from this model, and prove that the parameterization currently used as the background for an explanation of economic miracles and disasters, is not satisfactory because of its counterintuitive implications.

Suggested Citation

  • José Ramón Ruiz-Tamarit, "undated". "Multiplicity, Overtaking and Convergence in the Lucas Two-Sector Growth Model," Working Papers 2002-17, FEDEA.
  • Handle: RePEc:fda:fdaddt:2002-17

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    2. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
    3. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-1067, December.
    4. Ortigueira, Salvador & Santos, Manuel S, 1997. "On the Speed of Convergence in Endogenous Growth Models," American Economic Review, American Economic Association, vol. 87(3), pages 383-399, June.
    5. J. R. Ruiz-Tamarit & M. Ventura-Marco, "undated". "The Reduction of Dimension in the Study of Economic Growth Models," Working Papers 2001-13, FEDEA.
    6. James A. Schmitz, 1993. "Early progress on the "problem of economic development"," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr, pages 17-35.
    7. Parente, Stephen L & Prescott, Edward C, 1994. "Barriers to Technology Adoption and Development," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 298-321, April.
    8. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. J. AZNAR-MARQUEZ & J.R. Ruiz-Tamarit, 2002. "Closed-Form Solution for a Two-Sector Endogenous Growth Model with two Controls," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002030, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    2. Aznar-M Rquez, J. & Ruiz-Tamarit, J.R., 2005. "Renewable Natural Resources And Endogenous Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 9(02), pages 170-197, April.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:fda:fdaddt:2002-17. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carmen Arias). General contact details of provider: .

    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.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.