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The (Interesting) Dynamic Properties of the Neoclassical Growth Model with CES Production

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  • Kent Smetters

    (University of Pennsylvania)

Abstract

Despite being the standard growth model for several decades, little is actually known analytically about the dynamic properties of the neoclassical Ramsey-Cass-Koopmans growth model. This papers derives analytically the properties of the endogenous savings rate when technology takes the Constant Elesticity of Substitution (CES) form. For a factor substitution elasticity between capital and labor less than unity, the saving rate decreases along the transition path after the capital stock reaches a critical value identified analytically herein. But before reaching this critical value, the saving rate might increase and so, taken as a whole, the saving rate path might manifest 'overshooting.' Similarly, for a factor substitution elasticity greater than unity, the saving rate increases along the transistion path after the capital stock reaches a critical value. Before reaching this critical value, the saving rate might decrease and the saving rate path might manifest 'undershooting.' A simulation illustrating these interesting dynamics is presented. (Copyright: Elsevier)

Suggested Citation

  • Kent Smetters, 2003. "The (Interesting) Dynamic Properties of the Neoclassical Growth Model with CES Production," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 697-707, July.
  • Handle: RePEc:red:issued:v:6:y:2003:i:3:p:697-707
    DOI: 10.1016/S1094-2025(03)00012-7
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    File URL: http://dx.doi.org/10.1016/S1094-2025(03)00012-7
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    References listed on IDEAS

    as
    1. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    2. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
    3. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
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    Cited by:

    1. Farzin, Y. Hossein & Wendner, Ronald, 2014. "The Time Path of the Saving Rate: Hyperbolic Discounting and Short-Term Planning," Climate Change and Sustainable Development 178243, Fondazione Eni Enrico Mattei (FEEM).
    2. Y. Hossein Farzin & Ronald Wendner, 2013. "Saving Rate Dynamics in the Neoclassical Growth Model — Hyperbolic Discounting and Observational Equivalence," Graz Economics Papers 2013-05, University of Graz, Department of Economics.
    3. Gã“Mez, Manuel A., 2008. "Dynamics Of The Saving Rate In The Neoclassical Growth Model With Ces Production," Macroeconomic Dynamics, Cambridge University Press, vol. 12(2), pages 195-210, April.
    4. Huikang Ying, 2014. "Growth and Structural Change in a Dynamic Lagakos-Waugh Model," Bristol Economics Discussion Papers 14/639, School of Economics, University of Bristol, UK.
    5. Alvarez-Cuadrado, Francisco, 2008. "Growth outside the stable path: Lessons from the European reconstruction," European Economic Review, Elsevier, vol. 52(3), pages 568-588, April.
    6. Jang-Ting Guo & Kevin J. Lansing, 2008. "Capital-labor substitution, equilibrium indeterminacy, and the cyclical behavior of labor income," Working Paper Series 2008-06, Federal Reserve Bank of San Francisco.
    7. Achim Voss & Jörg Lingens, 2018. "What's the damage? Environmental regulation with policy‐motivated bureaucrats," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(4), pages 613-633, August.
    8. Alberto BUCCI & Chiara DEL BO, 2009. "On the interaction between public investment and private capital in economic growth," Departmental Working Papers 2009-44, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    9. Chang Yongsung & Hornstein Andreas, 2015. "Transition dynamics in the neoclassical growth model: the case of South Korea," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(2), pages 649-676, July.
    10. Alberto Bucci & Chiara Del Bo, 2012. "On the interaction between public and private capital in economic growth," Journal of Economics, Springer, vol. 106(2), pages 133-152, June.
    11. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.
    12. Alberto BUCCI, 2012. "Public capital, private capital, and economic growth," Departmental Working Papers 2012-08, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    13. Nguyen Ngoc Thach, 2020. "The Variable Elasticity of Substitution Function and Endogenous Growth: An Empirical Evidence from Vietnam," International Journal of Economics & Business Administration (IJEBA), International Journal of Economics & Business Administration (IJEBA), vol. 0(1), pages 263-277.

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    More about this item

    Keywords

    The Ramsey-Cass-Koopmans model; saving; CES production;
    All these keywords.

    JEL classification:

    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General

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