Demographic structure and overlapping generations: A simpler proof with more general conditions
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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- Barro, R. & Mankiw, G., 1992.
"Capital Mobility in Neoclassical Models of Growth,"
Harvard Institute of Economic Research Working Papers
1615, Harvard - Institute of Economic Research.
- Barro, R.J. & Mankiw, N.G. & Sala-i-Martin, X., 1992. "Capital Mobility in Neoclassical Models of Growth," Papers 655, Yale - Economic Growth Center.
- 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.
- Robert J. Barro & N. Gregory Mankiw & Xavier Sala-i-Martin, 1992. "Capital Mobility in Neoclassical Models of Growth," NBER Working Papers 4206, National Bureau of Economic Research, Inc.
- Robert J. Barro & N. Gregory Mankiw & Xavier Sala-i-Martin, 1994. "Capital mobility in Neoclassical models of growth," Economics Working Papers 82, Department of Economics and Business, Universitat Pompeu Fabra.
- Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
- Blanchard, Olivier J, 1985.
"Debt, Deficits, and Finite Horizons,"
Journal of Political Economy,
University of Chicago Press, vol. 93(2), pages 223-47, April.
- Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, 02.
- 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.
- Andrew B. Abel, 2003. "The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security," Econometrica, Econometric Society, vol. 71(2), pages 551-578, March.
- 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.
- Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
- 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.
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