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Stability in a Three-Sector Dynamic Growth Model with Endogenous Labor Supply

  • Loretti I. Dobrescu


    (School of Economics, The University of New South Wales)

  • Mihaela Neamtu


    (Department of Economic Informatics and Statistics, West University of Timisoara)

  • Dumitru Opris


    (Department of Applied Mathematics, West University of Timisoara)

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.

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Paper provided by School of Economics, The University of New South Wales in its series Discussion Papers with number 2012-10.

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Length: 22 pages
Date of creation: Oct 2011
Date of revision:
Handle: RePEc:swe:wpaper:2012-10
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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  6. 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.
  7. 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.
  8. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
  9. Blankenau, William F. & Simpson, Nicole B., 2004. "Public education expenditures and growth," Journal of Development Economics, Elsevier, vol. 73(2), pages 583-605, April.
  10. 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.
  11. 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.
  12. Jeremy Greenwood & Guillaume Vandenbroucke, 2005. "Hours Worked (Long-Run Trends)," Economie d'Avant Garde Research Reports 10, Economie d'Avant Garde.
  13. 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.
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