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A note on demographic shocks in a multi-sector growth model

Author

Listed:
  • Simone Marsiglio

    (Università degli Studi del Piemonte Orientale)

  • Davide La Torre

    (Università degli Studi di Milano)

Abstract

We introduce demographic shocks in a multi-sector endogenous growth model, a-la Uzawa-Lucas. We show that an analytical solution of the stochastic problem can be found, under the restriction that the capital share equals both the inverse of the intertemporal elasticity of substitution and the degree of altruism. We show that uncertainty lowers the optimal levels of consumption and the physical capital stock, while they do not a ffect the share of human capital employed in production.

Suggested Citation

  • Simone Marsiglio & Davide La Torre, 2012. "A note on demographic shocks in a multi-sector growth model," Economics Bulletin, AccessEcon, vol. 32(3), pages 2293-2299.
    • Handle: RePEc:ebl:ecbull:eb-11-00803
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    References listed on IDEAS

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    1. Palivos, Theodore & Yip, Chong K., 1993. "Optimal population size and endogenous growth," Economics Letters, Elsevier, vol. 41(1), pages 107-110.
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    3. Smith William T, 2007. "Inspecting the Mechanism Exactly: A Closed-form Solution to a Stochastic Growth Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-33, August.
    4. Robertson, Peter E., 2002. "Demographic shocks and human capital accumulation in the Uzawa-Lucas model," Economics Letters, Elsevier, vol. 74(2), pages 151-156, January.
    5. Alberto Bucci & Davide Torre, 2009. "Population and economic growth with human and physical capital investments," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 56(1), pages 17-27, March.
    6. Ryoji Hiraguchi, 2013. "On a closed-form solution to the stochastic Lucas–Uzawa model," Journal of Economics, Springer, vol. 108(2), pages 131-144, March.
    7. Holger Strulik, 2005. "The Role of Human Capital and Population Growth in R&D‐based Models of Economic Growth," Review of International Economics, Wiley Blackwell, vol. 13(1), pages 129-145, February.
    8. A. Bucci & C. Colapinto & M. Forster & D. La Torre, 2011. "Stochastic technology shocks in an extended Uzawa–Lucas model: closed-form solution and long-run dynamics," Journal of Economics, Springer, vol. 103(1), pages 83-99, May.
    9. Dirk Bethmann, 2007. "A Closed-form Solution of the Uzawa-Lucas Model of Endogenous Growth," Journal of Economics, Springer, vol. 90(1), pages 87-107, January.
    10. Marsiglio, Simone & La Torre, Davide, 2012. "Population dynamics and utilitarian criteria in the Lucas–Uzawa Model," Economic Modelling, Elsevier, vol. 29(4), pages 1197-1204.
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    Citations

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    Cited by:

    1. Tsuboi, Mizuki, 2019. "Resource scarcity, technological progress, and stochastic growth," Economic Modelling, Elsevier, vol. 81(C), pages 73-88.
    2. Tsuboi, Mizuki, 2019. "Consumption, welfare, and stochastic population dynamics when technology shocks are (Un)tied," Economic Modelling, Elsevier, vol. 79(C), pages 74-85.
    3. Mizuki Tsuboi, 2018. "Stochastic accumulation of human capital and welfare in the Uzawa–Lucas model: an analytical characterization," Journal of Economics, Springer, vol. 125(3), pages 239-261, November.
    4. Marsiglio, Simone, 2014. "Reassessing Edgeworth’s conjecture when population dynamics is stochastic," Journal of Macroeconomics, Elsevier, vol. 42(C), pages 130-140.
    5. Simone Marsiglio & Davide Torre, 2018. "Economic growth and abatement activities in a stochastic environment: a multi-objective approach," Annals of Operations Research, Springer, vol. 267(1), pages 321-334, August.
    6. Constantin Chilarescu, 2019. "On the Solutions of the Lucas-Uzawa Model," Papers 1907.12658, arXiv.org.

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    More about this item

    Keywords

    Demographic shocks; Economic growth; Closed-form Solution;
    All these keywords.

    JEL classification:

    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • J1 - Labor and Demographic Economics - - Demographic Economics

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