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Capital–labor substitution and long-run growth in a model with physical and human capital

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  • Gómez, Manuel A.

Abstract

Most of the literature analyzing the growth-substitutability nexus considers models in which long-run growth is exogenous. We study this link in an endogenous growth model with physical and human capital. We show that for two economies differing uniquely in factor substitutability, the one with the higher elasticity of substitution will have higher long-run growth. This is due to the efficiency effect of a higher factor substitution. Furthermore, if the initial ratio of physical to human capital is below (above) its steady-state value, the economy with the higher elasticity of substitution will have a higher (lower) steady-state physical capital income share.

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  • Gómez, Manuel A., 2015. "Capital–labor substitution and long-run growth in a model with physical and human capital," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 106-113.
    • Handle: RePEc:eee:matsoc:v:78:y:2015:i:c:p:106-113
    DOI: 10.1016/j.mathsocsci.2015.10.004
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    1. Barro, Robert J & Mankiw, N Gregory & Sala-i-Martin, Xavier, 1995. "Capital Mobility in Neoclassical Models of Growth," American Economic Review, American Economic Association, vol. 85(1), pages 103-115, March.
    2. 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.
    3. 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.
    4. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    5. 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.
    6. Gomez, Manuel A., 2003. "Equilibrium dynamics in the one-sector endogenous growth model with physical and human capital," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 367-375, November.
    7. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    8. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    9. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 352-352.
    10. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307-1307, December.
    11. Glewwe, Paul & Maïga, Eugénie & Zheng, Haochi, 2014. "The Contribution of Education to Economic Growth: A Review of the Evidence, with Special Attention and an Application to Sub-Saharan Africa," World Development, Elsevier, vol. 59(C), pages 379-393.
    12. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    13. Kan, Kamhon & Wang, Yong, 2013. "Comparing China and India: A factor accumulation perspective," Journal of Comparative Economics, Elsevier, vol. 41(3), pages 879-894.
    14. Eric A. Hanushek & Ludger Woessmann, 2008. "The Role of Cognitive Skills in Economic Development," Journal of Economic Literature, American Economic Association, vol. 46(3), pages 607-668, September.
    15. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    16. 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.
    17. repec:bla:germec:v:10:y:2009:i::p:464-479 is not listed on IDEAS
    18. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    19. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    20. Raouf Boucekkine & Bity Diene & Theophile Azomahou, 2008. "Growth Economics of Epidemics: A Review of the Theory," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(1), pages 1-26.
    21. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
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