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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

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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  • Gan, Zhuojiong & Lau, Sau-Him Paul, 2010. "Demographic structure and overlapping generations: A simpler proof with more general conditions," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 311-319, May.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:3:p:311-319
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    References listed on IDEAS

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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. Jochen Mierau & Stephen Turnovsky, 2014. "Capital accumulation and the sources of demographic change," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(3), pages 857-894, July.
    3. 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.
    4. Maik T. Schneider & Christian Traeger & Ralph Winkler, 2010. "Trading Off Generations: Infinitely-Lived Agent Versus OLG," CER-ETH Economics working paper series 10/128, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    5. Alessandro Piergallini, 2020. "Demographic change and real house prices: a general equilibrium perspective," Journal of Economics, Springer, vol. 130(1), pages 85-102, June.
    6. Jean-François Mertens & Anna Rubinchik, 2013. "Equilibria in an overlapping generations model with transfer policies and exogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 537-595, November.
    7. 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.
    8. Schneider, Maik T. & Traeger, Christian P. & Winkler, Ralph, 2012. "Trading off generations: Equity, discounting, and climate change," European Economic Review, Elsevier, vol. 56(8), pages 1621-1644.

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