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Note on global dynamics and imbalance effects in the Lucas-Uzawa model

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  • Raouf Boucekkine
  • Blanca Martínez
  • José Ramón Ruiz-Tamarit

Abstract

In the traditional literature on the Lucas-Uzawa model, it is proved that in the neighborhood of the long-run balanced growth path, human capital stock grows at a rate greater than its long-run counterpart when the ratio physical to human capi- tal is above its long run value if and only if the capital share in the production of physical good is lower than the inverse of the elasticity of intertemporal substitution in consumption. We first prove that the claim is true outside the neighborhood of balanced growth paths. More importantly, we identify a crucial asymmetry: what- ever the position of the capital share with respect to the inverse of the elasticity of intertemporal substitution, physical capital stock always grows at a rate lower than its long-run counterpart when the ratio physical to human capital is above its long run value.

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Bibliographic Info

Article provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.

Volume (Year): 4 (2008)
Issue (Month): 4 ()
Pages: 503-518

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Handle: RePEc:bla:ijethy:v:4:y:2008:i:4:p:503-518

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References

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  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. Raouf, BOUCEKKINE & José R. , RUIZ-TAMARIT, 2004. "Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2004026, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  3. d'Albis, Hippolyte & Le Van, Cuong, 2006. "Existence of a competitive equilibrium in the Lucas (1988) model without physical capital," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 46-55, February.
  4. Mulligan, C.B. & Sala-i-Martin, X., 1992. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," Papers 651, Yale - Economic Growth Center.
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Cited by:
  1. Paulo Brito & Alain Venditti, 2009. "Local and global indeterminacy in two-sector models of endogenous growth," Working Papers halshs-00408018, HAL.
  2. Youyou Baende Bofota, Raouf Boucekkine and Alain Pholo Bala, 2012. "Social capital as an engine of growth: Multisectoral modelling and implications," Working Papers 317, Economic Research Southern Africa.
  3. De, Supriyo, 2014. "Intangible capital and growth in the ‘new economy’: Implications of a multi-sector endogenous growth model," Structural Change and Economic Dynamics, Elsevier, vol. 28(C), pages 25-42.
  4. Raouf Boucekkine & Blanca Martínez & Ramon Ruiz-Tamarit, 2011. "Growth vs level effect of population change on economic development: An inspection into human-capital-related mechanisms," Working Papers halshs-00632888, HAL.
  5. Hassan Benchekroun & Cees Withagen, 2008. "Global Dynamics In A Growth Model With An Exhaustible Resource," Departmental Working Papers 2008-01, McGill University, Department of Economics.
  6. Roy Cerqueti & Raffaella Coppier & Gustavo Piga, 2011. "Corruption, Growth and Ethnic Fractionalization: a Theoretical Model," CEIS Research Paper 216, Tor Vergata University, CEIS, revised 08 Nov 2011.
  7. J. R. Ruiz-Tamarit & M. Ventura-Marco, . "Solution to Non-Linear MHDS arising from Optimal Growth Problems," Working Papers 2000-16, FEDEA.

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