Stability in a Three-Sector Dynamic Growth Model with Endogenous Labor Supply
This paper explores the stability of the stationary state for a dynamic growth model with wealth and human capital accumulation. Knowledge is created through research and learning-by-doing, while the time allocation between labor and leisure is endogenized. We analyze the model in both its deterministic and stochastic versions. First, we describe the deterministic model and analyze the stationary state. Second, using the stationary state, we defi…ne the stochastic perturbation and study the mean and squared mean values of the system states for the linearized model. Third, we prove that for certain parameters, the stationary state is asymptotically stable both in the deterministic and the stochastic model. Finally, we perform the comparative dynamic analysis for the propensities to save and to enjoy leisure, the tax rates used to finance research, and the knowledge utilization efficiency.
|Date of creation:||Oct 2011|
|Contact details of provider:|| Postal: Australian School of Business Building, Sydney 2052|
Fax: +61)-2- 9313- 6337
Web page: http://www.economics.unsw.edu.au/
More information through EDIRC
References listed on IDEAS
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.:
- Romer, Paul M, 1986.
"Increasing Returns and Long-run Growth,"
Journal of Political Economy,
University of Chicago Press, vol. 94(5), pages 1002-1037, October.
- Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
- Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," Working papers 527, Massachusetts Institute of Technology (MIT), Department of Economics.
- Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
- Aghion, P. & Howitt, P., 1990. "A Model Of Growth Through Creative Destruction," DELTA Working Papers 90-12, DELTA (Ecole normale supérieure).
- Philippe Aghion & Peter Howitt, 1990. "A Model of Growth Through Creative Destruction," NBER Working Papers 3223, National Bureau of Economic Research, Inc.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," UWO Department of Economics Working Papers 8904, University of Western Ontario, Department of Economics.
- Wei-Bin Zhang, 2005. "A Two-Sector Growth Model with Labour Supply," Australian Journal of Labour Economics (AJLE), Bankwest Curtin Economics Centre (BCEC), Curtin Business School, vol. 8(3), pages 245-260, September.
- Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January.
- Santos, Manuel S. & Ortigueira, Salvador & Ladrón de Guevara, Antonio, 1994. "Equilibrium dynamics in two-sector models of endogenous growth," UC3M Working papers. Economics 2913, Universidad Carlos III de Madrid. Departamento de Economía.
- Antonio Ladron de Guevara & Salvador Ortigueira & Manuel S. Santos, 1994. "Equilibrium Dynamics in Two-Sector Models of Endogenous Growth," Working Papers 9403, Centro de Investigacion Economica, ITAM.
- Blankenau, William F. & Simpson, Nicole B., 2004. "Public education expenditures and growth," Journal of Development Economics, Elsevier, vol. 73(2), pages 583-605, April.
- Jones, Larry E & Manuelli, Rodolfo E & Rossi, Peter E, 1993. "Optimal Taxation in Models of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 485-517, June.
- Novales, Alfonso & Ruiz, Jesus, 2002. "Dynamic Laffer curves," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 181-206, December.
- Alfonso Novales & Jesús Ruiz, 2001. "Dynamic Laffer Curves," Documentos de Trabajo del ICAE 0106, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
- Jeremy Greenwood & Guillaume Vandenbroucke, 2005. "Hours Worked (Long-Run Trends)," Economie d'Avant Garde Research Reports 10, Economie d'Avant Garde.
- Jeremy Greenwood & Guillaume Vandenbroucke, 2005. "Hours Worked: Long-Run Trends," NBER Working Papers 11629, National Bureau of Economic Research, Inc.
- Gong, Gang & Greiner, Alfred & Semmler, Willi, 2004. "The Uzawa-Lucas model without scale effects: theory and empirical evidence," Structural Change and Economic Dynamics, Elsevier, vol. 15(4), pages 401-420, December.
- Romer, Paul M, 1987. "Growth Based on Increasing Returns Due to Specialization," American Economic Review, American Economic Association, vol. 77(2), pages 56-62, May.
- de Hek, Paul A., 2006. "On taxation in a two-sector endogenous growth model with endogenous labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 30(4), pages 655-685, April.
- Paul A. de Hek, 2003. "On Taxation in a Two-Sector Endogenous Growth Model with Endogenous Labor Supply," Tinbergen Institute Discussion Papers 03-029/2, Tinbergen Institute.
- Paul A. de Hek, 2005. "On Taxation in a Two-Sector Endogenous Growth Model with Endogenous Labor Supply," DEGIT Conference Papers c010_010, DEGIT, Dynamics, Economic Growth, and International Trade.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:swe:wpaper:2012-10. 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: (Hongyi Li)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.