Transitional dynamics in the Solow-Swan growth model with AK technology and logistic population change
This paper offers an alternative way, based on the logistic population growth hypothesis, to yield transitional dynamics in the standard AK model with exogenous savings rate. Within this framework, we show that the dynamics of the capital stock per person and its growth rate can be non-monotonic over time. Moreover, even in the presence of negative growth, the capital stock per-capita can converge to a strictly positive level (different from the initial level) when time goes to infinity. In general, the analysis allows us to conclude that the dynamics of the Solow-Swan model with linear technology and logistic population growth is richer than the one with exponential population growth.
|Date of creation:||19 Dec 2008|
|Date of revision:|
|Contact details of provider:|| Postal: Via Conservatorio 7, I-20122 Milan - Italy|
Phone: +39 02 50321522
Fax: +39 02 50321505
Web page: http://www.demm.unimi.it
More information through EDIRC
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.:
- Kocherlakota, Narayana R & Yi, Kei-Mu, 1996. "A Simple Time Series Test of Endogenous vs. Exogenous Growth Models: An Application to the United States," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 126-34, February.
- Daron Acemoglu & Jaume Ventura, 2002.
"The World Income Distribution,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 117(2), pages 659-694.
- Guerrini, Luca, 2006. "The Solow-Swan model with a bounded population growth rate," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 14-21, February.
- Romer, Paul M, 1986.
"Increasing Returns and Long-run Growth,"
Journal of Political Economy,
University of Chicago Press, vol. 94(5), pages 1002-37, October.
- Kocherlakota, Narayana R. & Yi, Kei-Mu, 1995. "Can convergence regressions distinguish between exogenous and endogenous growth models?," Economics Letters, Elsevier, vol. 49(2), pages 211-215, August.
- Christopher D. Carroll & Jody Overland & David N. Weil, 1997.
"Comparison Utility in a Growth Model,"
NBER Working Papers
6138, National Bureau of Economic Research, Inc.
- Sergio Rebelo, 1999.
"Long Run Policy Analysis and Long Run Growth,"
Levine's Working Paper Archive
2114, David K. Levine.
- Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-38, October.
- Gómez, Manuel A., 2008. "Convergence speed in the Ak endogenous growth model with habit formation," Economics Letters, Elsevier, vol. 100(1), pages 16-21, July.
When requesting a correction, please mention this item's handle: RePEc:mil:wpdepa:2008-44. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (DEMM Working Papers)
If references are entirely missing, you can add them using this form.