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Demographic structure and overlapping generations: A simpler proof with more general conditions

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  • Gan, Zhuojiong
  • Lau, Sau-Him Paul
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    Abstract

    d'Albis (2007) considers a continuous-time general equilibrium overlapping-generations model with age-specific mortality rates. His proof of the existence and uniqueness of the steady-state equilibrium, which can be extended to other overlapping-generations models, relies on the shape of a function that appears in the equation defining the equilibrium. By focusing on the mean age as a function of the stable population growth rate instead of the function used in d'Albis (2007), we provide a simpler proof with more general conditions. We also obtain useful properties about the first and second derivatives of the mean age function that can be applied in future work.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 46 (2010)
    Issue (Month): 3 (May)
    Pages: 311-319

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    Handle: RePEc:eee:mateco:v:46:y:2010:i:3:p:311-319

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    Web page: http://www.elsevier.com/locate/jmateco

    Related research

    Keywords: Overlapping-generations model Age-specific mortality Steady-state equilibrium Mean age function;

    References

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    1. Andrew B. Abel, 2002. "The effects of a baby boom on stock prices and capital accumulation in the presence of Social Security," Working Papers 03-2, Federal Reserve Bank of Philadelphia.
    2. Barro, Robert J. & Mankiw, N Gregory & Sala-i-Martin, Xavier, 1994. "Capital Mobility in Neoclassical Models of Growth," CEPR Discussion Papers 1019, C.E.P.R. Discussion Papers.
    3. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-47, April.
    4. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
    5. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    6. Lau, Sau-Him Paul, 2009. "Demographic structure and capital accumulation: A quantitative assessment," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 554-567, March.
    7. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer, vol. 16(1), pages 135-160, 02.
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    Cited by:
    1. Bruce, Neil & Turnovsky, Stephen J., 2013. "Social security, growth, and welfare in overlapping generations economies with or without annuities," Journal of Public Economics, Elsevier, vol. 101(C), pages 12-24.
    2. Schneider, Maik T. & Traeger, Christian P. & Winkler, Ralph, 2012. "Trading Off Generations: Infinitely Lived Agent Versus OLG," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt1b58j8m6, Department of Agricultural & Resource Economics, UC Berkeley.
    3. Emin Gahramanov & Xueli Tang, 2013. "Solving for the Retirement Age in a Continuous-time Model with Endogenous Labor Supply," Economics Series 2013_5, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
    4. Mertens, Jean-Francois & Rubinchik, Anna, 2012. "Equilibria in an overlapping generations model with transfer policies and exogenous growth," Working Papers WP2012/5, University of Haifa, Department of Economics, revised 05 Mar 2012.
    5. Lau, Sau-Him Paul, 2014. "Fertility and mortality changes in an overlapping-generations model with realistic demography," Economic Modelling, Elsevier, vol. 38(C), pages 512-521.
    6. Turnovsky, Stephen J., 2011. "On the role of small models in macrodynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1605-1613, September.

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