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A Two-Sector Model of Endogenous Growth with Leisure

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  • Antonio Ladrón-de-Guevara
  • Salvador Ortigueira
  • Manuel S. Santos

Abstract

This paper analyses the equilibrium dynamics of an endogenous growth model with physical and human capital in which leisure enters the utility function. The inclusion of leisure introduces a potential source of non-convexities in our optimization problem and leads to the possible existence of multiple balanced growth paths. This multiplicity of optimal stationary solutions is linked to the assumption that education has no effect on the quality of leisure, and hence a relatively more educated economy may choose to grow faster, and devote more time to income-directed activities. To characterize the set of optimal solutions in our non-concave optimization framework we develop a new method of analysis that should be of interest in related applications.

Suggested Citation

  • Antonio Ladrón-de-Guevara & Salvador Ortigueira & Manuel S. Santos, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 609-631.
  • Handle: RePEc:oup:restud:v:66:y:1999:i:3:p:609-631.
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    File URL: http://hdl.handle.net/10.1111/1467-937X.00100
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    References listed on IDEAS

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    1. Rustichini, Aldo & Schmilz, James Jr., 1991. "Research and imitation in long-run growth," Journal of Monetary Economics, Elsevier, vol. 27(2), pages 271-292, April.
    2. Toman, Michael A., 1985. "Optimal control with an unbounded horizon," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 291-316, November.
    3. Gary S. Becker & Kevin M. Murphy & Robert Tamura, 1994. "Human Capital, Fertility, and Economic Growth," NBER Chapters,in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education (3rd Edition), pages 323-350 National Bureau of Economic Research, Inc.
    4. Benveniste, L. M. & Scheinkman, J. A., 1982. "Duality theory for dynamic optimization models of economics: The continuous time case," Journal of Economic Theory, Elsevier, vol. 27(1), pages 1-19, June.
    5. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
    6. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," Review of Economic Studies, Oxford University Press, vol. 32(3), pages 233-240.
    7. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-1067, December.
    8. Lucas, Robert E, Jr, 1990. "Supply-Side Economics: An Analytical Review," Oxford Economic Papers, Oxford University Press, vol. 42(2), pages 293-316, April.
    9. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
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