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U-shaped Paths of Consumption and Physical Capital in Lucas-type Growth Models


  • Farhad Nili

    (Keele University, UK)


This paper considers transitional dynamics of consumption and physical capital in Lucas-type growth models. We find that when the ratio of physical to human capital is sufficiently high, it is optimal for both consumption and physical capital to fall for a finite period and then rise along their transition paths. Endogenous growth models may therefore not be able to generate a sustainable path of development when the steady state coexists with the transitional dynamics. According to the extent of consumption smoothing, we characterize the stages of transition in three different growth regimes. Particularly in the normal and paradoxical cases, dynamics of the Lucas model is contrasted with that of Ramsey.

Suggested Citation

  • Farhad Nili, 2002. "U-shaped Paths of Consumption and Physical Capital in Lucas-type Growth Models," Development and Comp Systems 0211002, EconWPA.
  • Handle: RePEc:wpa:wuwpdc:0211002
    Note: Type of Document - pdf; prepared on pc; pages: 30

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    References listed on IDEAS

    1. Lutz G. Arnold, 2000. "Endogenous technological change: a note on stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 219-226.
    2. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
    3. Bond, Eric W. & Wang, Ping & Yip, Chong K., 1996. "A General Two-Sector Model of Endogenous Growth with Human and Physical Capital: Balanced Growth and Transitional Dynamics," Journal of Economic Theory, Elsevier, vol. 68(1), pages 149-173, January.
    4. 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.
    5. Ortigueira, Salvador, 1998. "Fiscal policy in an endogenous growth model with human capital accumulation," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 323-355, July.
    6. Hanley, Nick, 2000. " Macroeconomic Measures of 'Sustainability.'," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 1-30, February.
    7. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    More about this item


    Lucas growth model; transitional dynamics; physical to human capital ratio; sustainability;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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