Demographic structure and capital accumulation
AbstractThis paper develops an overlapping-generations (OLG) model to analyze the consequences of demographic structure changes induced by an exogenous shift in the birth rate.We first show that a finite growth rate of the population that maximizes long-run capital per capita exists. Then, we examine the theoretical properties of this growth rate by showing that: (i) it corresponds to the demographic structure such that the average ages of capital holders and workers are equal; (ii) it is associated to an efficient steady state; (iii) it increases with compulsory transfers from younger to older generations. Finally, we explain why standard OLG models do not exhibit such a growth rate.
Download InfoIf 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.
Bibliographic InfoPaper provided by HAL in its series Post-Print with number hal-00630200.
Date of creation: 2007
Date of revision:
Publication status: Published, Journal of Economic Theory, 2007, 132, 1, 411-434
Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00630200/en/
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
Continuous-time overlapping-generations models; Population aging;
Other versions of this item:
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.:
- Arthur, W Brian & McNicoll, Geoffrey, 1978. "Samuelson, Population and Intergenerational Transfers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(1), pages 241-46, February.
- Wang, P., 1991.
"Money, Competitive Efficiency and Intergenerational Transactions,"
10-91-6, Pennsylvania State - Department of Economics.
- Wang, Ping, 1993. "Money, competitive efficiency, and intergenerational transactions," Journal of Monetary Economics, Elsevier, vol. 32(2), pages 303-320, November.
- Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2000.
"Vintage Human Capital, Demographic Trends and Endogenous Growth,"
Discussion Papers (IRES - Institut de Recherches Economiques et Sociales)
2000007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
- Raouf Boucekkine & David de la Croix & Omar Licandro, . "vintage human capital, demographic trends and endogenous growth," Working Papers 2000-02, FEDEA.
- Arthur, W Brian & McNicoll, Geoffrey, 1977. "Optimal Time Paths with Age-Dependence: A Theory of Population Policy," Review of Economic Studies, Wiley Blackwell, vol. 44(1), pages 111-23, February.
- Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
- de la Croix,David & Michel,Philippe, 2002.
"A Theory of Economic Growth,"
Cambridge University Press, number 9780521001151, October.
- Fernando Perera-Tallo & Hideo Konishi, 1997. "Existence of steady - state equium in an overlapping-generations model with production (*)," Economic Theory, Springer, vol. 9(3), pages 529-537.
- Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
- repec:fth:louvco:9131 is not listed on IDEAS
- Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
- Andrew B. Abel, 2003.
"The Effects of a Baby Boom on Stock Prices and Capital Accumulation in the Presence of Social Security,"
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," NBER Working Papers 9210, National Bureau of Economic Research, Inc.
- 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.
- MICHEL, Philippe & PESTIEAU, Pierre, .
"Population growth and optimality. When does serendipity hold?,"
CORE Discussion Papers RP
-1072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michel, Philippe & Pestieau, P, 1993. "Population Growth and Optimality: When Does Serendipity Hold?," Journal of Population Economics, Springer, vol. 6(4), pages 353-62, November.
- Ghiglino, Christian & Tvede, Mich, 1995.
"No-trade and uniqueness of steady states,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 19(3), pages 655-661, April.
- Salvas-Bronsard, Lise, 1983. "Grandmont et la théorie de la valeurGrandmont, Jean-Michel, Money and Value, A Reconsideration of Classical and Neoclassical Monetary Theories. Cambridge University Press, 1983," L'Actualité Economique, Société Canadienne de Science Economique, vol. 59(1), pages 108-120, mars.
- Duc, Francois & Ghiglino, Christian, 1998. "Optimality of Barter steady states," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1053-1067, May.
- Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
- Olivier J. Blanchard, 1984.
"Debt, Deficits and Finite Horizons,"
NBER Working Papers
1389, National Bureau of Economic Research, Inc.
- Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
- Ronald Lee, 1980. "Age Structure, Intergenerational Transfers and Economic Growth : an Overview," Revue Économique, Programme National Persée, vol. 31(6), pages 1129-1156.
- Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer, vol. 16(1), pages 135-160, 02.
- Willem H. Buiter, 1986. "Death, Population Growth, Productivity Growth and Debt Neutrality," NBER Working Papers 2027, National Bureau of Economic Research, Inc.
- Geanakoplos, John D. & Polemarchakis, Heraklis M., 1991. "Overlapping generations," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 35, pages 1899-1960 Elsevier.
- Geanakoplos, J. & Polemarchakis, H., 1991. "Overlapping generations," CORE Discussion Papers 1991031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Laitner, John, 1987. "The dynamic analysis of continuous-time life-cycle savings growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(3), pages 331-357, September.
- Kehoe, Timothy J, 1985. "Multiplicity of Equilibria and Comparative Statics," The Quarterly Journal of Economics, MIT Press, vol. 100(1), pages 119-47, February.
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page. reading list or among the top items on IDEAS.Access and download statisticsgeneral 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: (CCSD).
If references are entirely missing, you can add them using this form.