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

  • Gan, Zhuojiong
  • Lau, Sau-Him Paul
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    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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    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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    1. Andrew B. Abel, 2002. "The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security," NBER Working Papers 9210, National Bureau of Economic Research, Inc.
    2. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    3. 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.
    4. Barro, R.J. & Mankiw, N.G. & Sala-i-Martin, X., 1992. "Capital Mobility in Neoclassical Models of Growth," Papers 655, Yale - Economic Growth Center.
    5. Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer, vol. 16(1), pages 135-160, 02.
    6. Olivier J. Blanchard, 1984. "Debt, Deficits and Finite Horizons," NBER Working Papers 1389, National Bureau of Economic Research, Inc.
    7. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
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