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.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Barro, R.J. & Mankiw, N.G. & Sala-i-Martin, X., 1992. "Capital Mobility in Neoclassical Models of Growth," Papers 655, Yale - Economic Growth Center.
- 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.
- 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.
- 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.
- 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 223-247, April.
- Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
- 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.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:46:y:2010:i:3:p:311-319. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu)
If references are entirely missing, you can add them using this form.