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

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  • José Ramón Ruiz-Tamarit

Abstract

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.

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  • 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
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    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.
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    Cited by:

    1. Felbermayr Gabriel J & Licandro Omar, 2005. "The Underestimated Virtues of the Two-sector AK Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-19, September.
    2. J. AZNAR-MARQUEZ & J.R. Ruiz-Tamarit, 2002. "Closed-Form Solution for a Two-Sector Endogenous Growth Model with two Controls," LIDAM Discussion Papers IRES 2002030, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    3. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2005. "Renewable Natural Resources And Endogenous Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 9(2), pages 170-197, April.

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