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A Note on the Inclusion of Human Capital in the Lucas Model


  • Bidisha Chakraborty

    (Vijaygarh Jotish Ray College, India and Economic Research Unit, Indian Statistical Institute, India)

  • Manash Ranjan Gupta

    (Economic Research Unit, Indian Statistical Institute, India)


We include human capital in the utility function in an otherwise standard Lucas (1988) model of endogenous growth and show that there may be multiple steady-state equilibria. We also analyze the transitional dynamic properties of this model.

Suggested Citation

  • Bidisha Chakraborty & Manash Ranjan Gupta, 2006. "A Note on the Inclusion of Human Capital in the Lucas Model," International Journal of Business and Economics, College of Business and College of Finance, Feng Chia University, Taichung, Taiwan, vol. 5(3), pages 211-224, December.
  • Handle: RePEc:ijb:journl:v:5:y:2006:i:3:p:211-224

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    References listed on IDEAS

    1. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    2. de la Croix, David & Doepke, Matthias, 2004. "Public versus private education when differential fertility matters," Journal of Development Economics, Elsevier, vol. 73(2), pages 607-629, April.
    3. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
    4. Selod, Harris & Zenou, Yves, 2003. "Private versus public schools in post-Apartheid South African cities: theory and policy implications," Journal of Development Economics, Elsevier, vol. 71(2), pages 351-394, August.
    5. Mino, Kazuo, 1999. "Non-separable utility function and indeterminacy of equilibrium in a model with human capital," Economics Letters, Elsevier, vol. 62(3), pages 311-317, March.
    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. Glomm, Gerhard & Ravikumar, B., 1996. "Endogenous public policy and multiple equilibria," European Journal of Political Economy, Elsevier, vol. 11(4), pages 653-662, April.
    8. Foster, Andrew D. & Rosenzweig, Mark R., 2004. "Technological change and the distribution of schooling: evidence from green-revolution India," Journal of Development Economics, Elsevier, vol. 74(1), pages 87-111, June.
    9. Moretti, Enrico, 2004. "Human capital externalities in cities," Handbook of Regional and Urban Economics,in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 51, pages 2243-2291 Elsevier.
    10. Ben-Gad, Michael, 2003. "Fiscal policy and indeterminacy in models of endogenous growth," Journal of Economic Theory, Elsevier, vol. 108(2), pages 322-344, February.
    11. Liviatan, Nissan & Samuelson, Paul A., 1969. "Notes on Turnpikes: Stable and unstable," Journal of Economic Theory, Elsevier, vol. 1(4), pages 454-475, December.
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    More about this item


    human capital; endogenous growth; multiple steady-state equilibria; saddle path;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models


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