IDEAS home Printed from https://ideas.repec.org/p/swe/wpaper/2012-10.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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)

Abstract

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.

Suggested Citation

  • Loretti I. Dobrescu & Mihaela Neamtu & Dumitru Opris, 2011. "Stability in a Three-Sector Dynamic Growth Model with Endogenous Labor Supply," Discussion Papers 2012-10, School of Economics, The University of New South Wales.
    • Handle: RePEc:swe:wpaper:2012-10
    as

    Download full text from publisher

    File URL: http://research.economics.unsw.edu.au/RePEc/papers/2012-10.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    3. Blankenau, William F. & Simpson, Nicole B., 2004. "Public education expenditures and growth," Journal of Development Economics, Elsevier, vol. 73(2), pages 583-605, April.
    4. 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.
    5. Novales, Alfonso & Ruiz, Jesus, 2002. "Dynamic Laffer curves," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 181-206, December.
    6. 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.
    7. Mark Aguiar & Erik Hurst, 2007. "Measuring Trends in Leisure: The Allocation of Time Over Five Decades," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 969-1006.
    8. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    9. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    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. 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.
    12. Jeremy Greenwood & Guillaume Vandenbroucke, 2005. "Hours Worked (Long-Run Trends)," Economie d'Avant Garde Research Reports 10, Economie d'Avant Garde.
    13. 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.
    14. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Loretti Dobrescu & Mihaela Neamtu & Dumitru Opris, 2013. "Deterministic and Stochastic Three-Sector Dynamic Growth Model with Endogenous Labour Supply," The Economic Record, The Economic Society of Australia, vol. 89(284), pages 99-111, March.
    2. Jones, Larry E. & Manuelli, Rodolfo E., 1997. "The sources of growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 75-114, January.
    3. Frédéric Lordon, 1991. "Théorie de la croissance : quelques développements récents [Deuxième partie : la redécouverte des rendements croissants]," Revue de l'OFCE, Programme National Persée, vol. 37(1), pages 191-243.
    4. Wei-Bin Zhang, 2016. "Impact of Education Subsidies and Taxation on Wealth and Human Capital Accumulation," Eastern European Business and Economics Journal, Eastern European Business and Economics Studies Centre, vol. 2(3), pages 222-247.
    5. Jones, Larry E. & Manuelli, Rodolfo E., 1997. "Endogenous growth theory: An introduction," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 1-22, January.
    6. Todd Smith, R., 1996. "Money, taxes, and endogenous growth," Journal of Macroeconomics, Elsevier, vol. 18(3), pages 449-462.
    7. Stephen J. Turnovsky, 2000. "Growth in an open economy: some recent developments," Working Paper Research 05, National Bank of Belgium.
    8. MARTINS, Ana Paula, 2015. "Increasing Returns And Endogenous Growth: Market Size And Taste For Variety," Academica Science Journal, Economica Series, Dimitrie Cantemir University, Faculty of Economical Science, vol. 1(5), pages 3-33, June.
    9. Harashima, Taiji, 2010. "An Asymptotically Non-Scale Endogenous Growth Model," MPRA Paper 26025, University Library of Munich, Germany.
    10. Hollanders, Hugo & Weel, Bas ter, 1999. "Skill-Biased Technical Change: On Endogenous Growth, Wage Inequality and Government Intervention," Research Memorandum 013, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
    11. Stolpe, Michael, 1995. "Technology and the dynamics of specialization in open economies," Open Access Publications from Kiel Institute for the World Economy 738, Kiel Institute for the World Economy (IfW Kiel).
    12. Wei-Bin ZHANG, 2014. "Gender Discrimination, Education and Economic Growth in a Generalized Uzawa-Lucas Two-Sector Model," Timisoara Journal of Economics and Business, West University of Timisoara, Romania, Faculty of Economics and Business Administration, vol. 7(1), pages 1-34.
    13. Warr, Benjamin & Ayres, Robert, 2006. "REXS: A forecasting model for assessing the impact of natural resource consumption and technological change on economic growth," Structural Change and Economic Dynamics, Elsevier, vol. 17(3), pages 329-378, September.
    14. Afolabi Tunde Ahmed & Tsimisaraka Raymondo Sandra Marcelline & Sabi Couscous Mouhamadou Nazirou, 2021. "Empirical Study of the Impact of Governance on Economic Structural Change: Evidence from Sub-Saharan African Countries," International Journal of Science and Business, IJSAB International, vol. 5(8), pages 260-277.
    15. Stolpe, Michael, 1992. "Ansätze der neuen Wachstumstheorie: ein Literaturüberblick," Kiel Working Papers 508, Kiel Institute for the World Economy (IfW Kiel).
    16. Dean Scrimgeour, 2015. "Dynamic Scoring in a Romer‐Style Economy," Southern Economic Journal, John Wiley & Sons, vol. 81(3), pages 697-723, January.
    17. Hollanders, Hugo & Weel, Bas ter, 1998. "Skill-Biased Technological Change in an Endogenous Growth Model," Research Memorandum 016, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
    18. Robert J. Barro, 2013. "Health and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(2), pages 329-366, November.
    19. Aikaterini Kokkinou, 2006. "Innovation and Productivity a Story of Convergence and Divergence Process in EU Countries," ERSA conference papers ersa06p452, European Regional Science Association.
    20. Norman Gemmell, 2001. "Fiscal Policy in a Growth Framework," WIDER Working Paper Series DP2001-84, World Institute for Development Economic Research (UNU-WIDER).

    More about this item

    Keywords

    labor; human capital; capital accumulation; economic growth.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. 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.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Hongyi Li (email available below). General contact details of provider: https://edirc.repec.org/data/senswau.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.