The (Interesting) Dynamic Properties of the Neoclassical Growth Model with CES Production
AbstractDespite 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 paper derives analytically the properties of the endogenous saving rate when technology takes the Constant Elasticity 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 transition path after the capital stock reaches a critical value. Before reaching this critical value, the saving rate might decrease and so the saving rate path might manifest undershooting.' A simulation illustrating these interesting dynamics is presented.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0290.
Date of creation: Mar 2003
Date of revision:
Contact details of provider:
Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
Web page: http://www.nber.org
More information through EDIRC
Other versions of this item:
- 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.
- E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
- O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-03-10 (All new papers)
- NEP-DEV-2003-03-10 (Development)
- NEP-DGE-2003-03-10 (Dynamic General Equilibrium)
- NEP-MAC-2003-03-10 (Macroeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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..
- Mulligan, C.B. & Sala-i-Martin, X., 1992.
"Transitional Dynamics in Two-Sector Models of Endogenous Growth,"
651, Yale - Economic Growth Center.
- Mulligan, Casey B & Sala-i-Martin, Xavier, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 739-73, August.
- Casey B. Mulligan & Xavier Sala-i-Martin, 1992. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," NBER Working Papers 3986, National Bureau of Economic Research, Inc.
- Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
- Jang-Ting Guo & Kevin J. Lansing, 2008.
"Capital-Labor Substitution, Equilibrium Indeterminacy, and the Cyclical Behavior of Labor Income,"
200804, University of California at Riverside, Department of Economics, revised Apr 2008.
- 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.
- Litina, Anastasia & Palivos, Theodore, 2010.
"The Behavior Of The Saving Rate In The Neoclassical Optimal Growth Model,"
Cambridge University Press, vol. 14(04), pages 482-500, September.
- Anastastia Litina & Theodore Palivos, 2008. "The Behaviour of the Saving Rate in the Neoclassical Optimal Growth Model," Discussion Paper Series 2008_05, Department of Economics, University of Macedonia, revised Jun 2008.
- Yongsung Chang & Andreas Hornstein, 2011.
"Transition dynamics in the neoclassical growth model : the case of South Korea,"
11-04, Federal Reserve Bank of Richmond.
- Yongsung Chang & Andreas Hornstein, 2011. "Transition Dynamics in the Neoclassical Growth Model: The Case of South Korea," RCER Working Papers 565, University of Rochester - Center for Economic Research (RCER).
- 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.
- Farzin, Y. Hossein & Wendner, Ronald, 2013. "Saving Rate Dynamics in the Neoclassical Growth Model – Hyperbolic Discounting and Observational Equivalence," MPRA Paper 45518, University Library of Munich, Germany.
- Y. Hossein Farzin & Ronald Wendner, 2013. "Saving Rate Dynamics in the Neoclassical Growth Model – Hyperbolic Discounting and Observational Equivalence," Working Papers 2013.42, Fondazione Eni Enrico Mattei.
- Francisco Alvarez-Cuadrado, 2006.
"Growth Outside The Stable Path: Lessons From The European Reconstruction,"
Departmental Working Papers
2006-02, McGill University, Department of Economics.
- 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.
- Debdulal Mallick, 2007. "Growth and Slowdown of Nations: What Role for the Elasticity of Substitution?," Economics Series 2007_02, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
- 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.
- Gómez, Manuel A., 2008. "Dynamics Of The Saving Rate In The Neoclassical Growth Model With Ces Production," Macroeconomic Dynamics, Cambridge University Press, vol. 12(02), pages 195-210, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().
If references are entirely missing, you can add them using this form.