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Factor substitution, long-run equilibrium, and convergence speed in the Lucas model

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  • Gómez, Manuel A.

Abstract

We study the effect of factor substitution on long-run equilibrium in the Lucas model with CES production. The long-run growth rate does not depend on the elasticity of substitution. However, there is a negative (positive) relationship between the elasticity of factor substitution and the convergence speed if the baseline ratio of physical capital to effective labor is below (above) its steady-state value.

Suggested Citation

  • Gómez, Manuel A., 2023. "Factor substitution, long-run equilibrium, and convergence speed in the Lucas model," Economics Letters, Elsevier, vol. 232(C).
    • Handle: RePEc:eee:ecolet:v:232:y:2023:i:c:s016517652300383x
    DOI: 10.1016/j.econlet.2023.111358
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    References listed on IDEAS

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    1. Xue, Jianpo & Yip, Chong K., 2012. "Factor Substitution And Economic Growth: A Unified Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(4), pages 625-656, September.
    2. Gómez Manuel A., 2021. "Variable elasticity of substitution and economic growth in the neoclassical model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 25(5), pages 345-364, December.
    3. Manuel Gómez, 2016. "Factor substitution is an engine of growth in a model with productive public expenditure," Journal of Economics, Springer, vol. 117(1), pages 37-48, January.
    4. Kaz Miyagiwa & Chris Papageorgiou, 2003. "Elasticity of substitution and growth: normalized CES in the Diamond model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 155-165, January.
    5. Gómez, Manuel A., 2018. "Factor substitution and convergence speed in the neoclassical model with elastic labor supply," Economics Letters, Elsevier, vol. 172(C), pages 89-92.
    6. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    7. 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.
    8. Manuel A. Gómez, 2020. "Factor substitution, long‐run growth, and speed of convergence in the one‐sector convex endogenous‐growth model," Metroeconomica, Wiley Blackwell, vol. 71(1), pages 2-21, February.
    9. Gómez, Manuel A., 2017. "Factor substitution and long-run growth in the Lucas model with elastic labor supply," Economics Letters, Elsevier, vol. 159(C), pages 180-184.
    10. Irmen Andreas & Klump Rainer, 2009. "Factor Substitution, Income Distribution and Growth in a Generalized Neoclassical Model," German Economic Review, De Gruyter, vol. 10(4), pages 464-479, December.
    11. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    12. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    13. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Elasticity of substitution; Endogenous growth; Convergence speed; Human capital;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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