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Micro-foundation for a constant elasticity of substitution production function through mechanization

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  • Nakamura, Hideki

Abstract

We consider an increase in the range of capital use as a form of mechanization. A constant elasticity of substitution (CES) production function is dynamically derived from Leontief production functions through the endogenous complementary relationship between capital accumulation and mechanization. This implies that a CES production function can be resolved into technological change that does not involve changes in total factor productivity. Furthermore, using the normalizing procedure of the CES production function developed by de La Grandville [de La Grandville, O., 1989. In quest of the Slutsky diamond. American Economic Review 79, 468-481], we investigate how mechanization is related to the elasticity of substitution in our endogenous growth model.

Suggested Citation

  • Nakamura, Hideki, 2009. "Micro-foundation for a constant elasticity of substitution production function through mechanization," Journal of Macroeconomics, Elsevier, vol. 31(3), pages 464-472, September.
    • Handle: RePEc:eee:jmacro:v:31:y:2009:i:3:p:464-472
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    1. Joseph Zeira, 1998. "Workers, Machines, and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(4), pages 1091-1117.
    2. Young, Alwyn, 1994. "Lessons from the East Asian NICS: A contrarian view," European Economic Review, Elsevier, vol. 38(3-4), pages 964-973, April.
    3. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    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. 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.
    6. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    7. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    8. 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.
    9. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    10. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 83-116.
    11. Francesco Caselli & Wilbur John Coleman II, 2006. "The World Technology Frontier," American Economic Review, American Economic Association, vol. 96(3), pages 499-522, June.
    12. Nakamura, Hideki & Nakamura, Masakatsu, 2008. "Constant-Elasticity-Of-Substitution Production Function," Macroeconomic Dynamics, Cambridge University Press, vol. 12(5), pages 694-701, November.
    13. Zeira, Joseph, 2005. "Machines as Engines of Growth," CEPR Discussion Papers 5429, C.E.P.R. Discussion Papers.
    14. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    15. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    16. Winford H. Masanjala & Chris Papageorgiou, 2004. "The Solow model with CES technology: nonlinearities and parameter heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(2), pages 171-201.
    17. Subodh Kumar & R. Robert Russell, 2002. "Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence," American Economic Review, American Economic Association, vol. 92(3), pages 527-548, June.
    18. 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.
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    Cited by:

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    2. Growiec, Jakub, 2018. "Factor-specific technology choice," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 1-14.
    3. Ryosuke Shimizu & Shohei Momoda, 2020. "Does Automation Technology increase Wage?," KIER Working Papers 1039, Kyoto University, Institute of Economic Research.
    4. Michael Knoblach & Fabian Stöckl, 2020. "What Determines The Elasticity Of Substitution Between Capital And Labor? A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 847-875, September.
    5. Kemnitz, Alexander & Knoblach, Michael, 2020. "Endogenous sigma-augmenting technological change: An R&D-based approach," CEPIE Working Papers 02/20, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    6. Ryosuke Shimizu & Shohei Momoda, 2021. "Does Automation Technology increase Wage?," Discussion papers ron343, Policy Research Institute, Ministry of Finance Japan.
    7. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    8. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    9. Hideki Nakamura, 2010. "Factor Substitution, Mechanization, And Economic Growth," The Japanese Economic Review, Japanese Economic Association, vol. 61(2), pages 266-281, June.
    10. Vladimir Matveenko, 2013. "Resources, Institutions And Technologies: Game Modeling Of Dual Relations," Montenegrin Journal of Economics, Economic Laboratory for Transition Research (ELIT), vol. 9(3), pages 7-28.
    11. Zeira, Joseph & Nakamura, Hideki, 2018. "Automation and Unemployment: Help is on the Way," CEPR Discussion Papers 12974, C.E.P.R. Discussion Papers.

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