Continuous-Time Overlapping Generations Models
Abstract
Age structured populations are studied in economics through overlapping generations models. These models allow for a realistic characterization of life-cycle behaviors and display intertemporal equilibrium that are not necessarily efficient. This article uses the latest developments in continuous time overlapping generations models to show the influence of the vintage structure of the population on the volatility of intertemporal prices. Permanent cycles can be found on the neighborhood of steady-states while the transitional dynamics are generically governed by short run fluctuations.Download Info
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.Bibliographic Info
Paper provided by HAL in its series Post-Print with number hal-00424799.Length:
Date of creation: 2011
Date of revision:
Publication status: Published, Optimal Control of Age-structured Population in Economy, Demography, and the Environment., Taylor and Francis (Ed.), 2011, 45-69
Handle: RePEc:hal:journl:hal-00424799
Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00424799/en/
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
Related research
Keywords: overlapping generations; continuous time; life-cycle; intertemporal prices.;Other versions of this item:
- D'ALBIS Hippolyte & AUGERAUD-VÉRON Emmanuelle, 2009. "Continuous-Time Overlapping Generations Models," LERNA Working Papers 09.15.291, LERNA, University of Toulouse.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
- NEP-AGE-2011-10-15 (Economics of Ageing)
- NEP-ALL-2011-10-15 (All new papers)
- NEP-DGE-2011-10-15 (Dynamic General Equilibrium)
References
References listed on IDEASPlease 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.:
- Kim, Oliver, 1983. "Balanced equilibrium in a consumption loans model," Journal of Economic Theory, Elsevier, vol. 29(2), pages 339-346, April.
- Raouf Boucekkine & David De La Croix & Omar Licandro, 2004.
"MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS,"
Mathematical Population Studies,
Taylor and Francis Journals, vol. 11(3-4), pages 151-179.
- Raouf Boucekkine & David de la Croix & Omar Licandro, . "Modelling vintage structures with DDEs: Principles and applications," Working Papers 2004-07, FEDEA.
- BOUCEKKINE, RAOUF & de la CROIX, David & LICANDRO, Omar, 2004. "Modelling vintage structures with DDEs : principles and applications," CORE Discussion Papers 2004047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Raouf, BOUCEKKINE & David de la Croix & Omar Lidandro, 2004. "Modelling vintage structures with DDEs : principles and applications," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2004004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Raouf BOUCEKKINE & David DE LA CROIX & Omar LICANDRO, 2004. "Modelling vintage structures with DDEs: principles and applications," Economics Working Papers ECO2004/06, European University Institute.
- Christian Ghiglino & Mich Tvede, .
"No-trade and uniqueness of steady-states,"
Preprints
_002, Theory and Mathematics of the Economy and the Society.
- 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.
- S. Rao Aiyagari, 1988.
"Can there be short-period deterministic cycles when people are long lived?,"
Staff Report
114, Federal Reserve Bank of Minneapolis.
- Aiyagari, S Rao, 1989. "Can There Be Short-Period Deterministic Cycles When People Are Long Lived?," The Quarterly Journal of Economics, MIT Press, vol. 104(1), pages 163-85, February.
- Raouf, BOUCEKKINE & Bity, DIENE & Théophile, AZOMAHOU, 2007.
"A closer look at the relationship between life expectancy and economic growth,"
Discussion Papers (ECON - Département des Sciences Economiques)
2007043, Université catholique de Louvain, Département des Sciences Economiques.
- Théophile T. Azomahou & Raouf Boucekkine & Bity Diene, 2009. "A closer look at the relationship between life expectancy and economic growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(2), pages 201-244.
- Raouf Boucekkine & Bity Diene & Theophile Azomahou, 2007. "A closer look at the relationship between life expectancy and economic growth," Working Papers 2007_24, Business School - Economics, University of Glasgow.
- Azomahou, Théophile & Boucekkine, Raouf & Diene, Bity, 2008. "A Closer Look at the Relationship Between Life Expectancy and Economic Growth," UNU-MERIT Working Paper Series 027, United Nations University, Maastricht Economic and social Research and training centre on Innovation and Technology.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2009.
"Competitive Growth in a Life-cycle Model: Existence and Dynamics,"
Post-Print
hal-00630459, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, 05.
- Hippolyte d'Albis & Emmanuelle Augeraud-Veron, 2004. "Competitive growth in a life-cycle model : existence and dynamics," Cahiers de la Maison des Sciences Economiques v04016, Université Panthéon-Sorbonne (Paris 1).
- D'ALBIS Hippolyte & AUGERAUD-VERON Emmannuelle, 2007. "Competitive Growth in a Life-cycle Model: Existence and Dynamics," LERNA Working Papers 07.19.240, LERNA, University of Toulouse.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2009. "Competitive growth in a life-cycle model: Existence and dynamics," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
- Benhabib, Jess & Rustichini, Aldo, 1991.
"Vintage capital, investment, and growth,"
Journal of Economic Theory,
Elsevier, vol. 55(2), pages 323-339, December.
- Benhabib, Jess & Rustichini, Aldo, 1990. "Vintage Capital, Investment And Growth," Working Papers 90-22, C.V. Starr Center for Applied Economics, New York University.
- Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- D'ALBIS Hippolyte & DECREUSE Bruno, 2007.
"Parental altruism, life expectancy and dynamically inefficient equilibria,"
LERNA Working Papers
07.10.231, LERNA, University of Toulouse.
- d'Albis, Hippolyte & Decreuse, Bruno, 2009. "Parental altruism, life expectancy and dynamically inefficient equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1897-1911, November.
- Hippolyte D'Albis & Bruno Decreuse, 2009. "Parental Altruism, Life Expectancy and Dynamically Inefficient Equilibria," Post-Print halshs-00353112, HAL.
- d'Albis, Hippolyte & Decreuse, Bruno, 2007. "Parental altruism, life expectancy and dynamically inefficient equilibria," MPRA Paper 3629, University Library of Munich, Germany.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2007.
"Balanced cycles in an OLG model with a continuum of finitely-lived individuals,"
Post-Print
hal-00630229, HAL.
- Hippolyte d’Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Economic Theory, Springer, vol. 30(1), pages 181-186, January.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2007. "Balanced Cycles in an OLG Model with a Continuum of Finitely-Lived Individuals," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Bullard, James & Russell, Steven, 1999. "An empirically plausible model of low real interest rates and unbacked government debt," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 477-508, December.
- 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.
- Willem H. Buiter, 1988. "Death, Population Growth, Productivity Growth and Debt Neutrality," NBER Working Papers 2027, National Bureau of Economic Research, Inc.
- Hippolyte D'Albis, 2007.
"Demographic structure and capital accumulation,"
Post-Print
hal-00630200, HAL.
- d'Albis, Hippolyte, 2007. "Demographic structure and capital accumulation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 411-434, January.
- d'Albis, Hippolyte, 2007. "Demographic Structure and Capital Accumulation," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Ben J. Heijdra & Ward E. Romp, 2007.
"Retirement, Pensions, and Ageing,"
CESifo Working Paper Series
1974, CESifo Group Munich.
- Heijdra, Ben J. & Romp, Ward E., 2009. "Retirement, pensions, and ageing," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 586-604, April.
- Bloom, David E. & Canning, David & Mansfield, Richard K. & Moore, Michael, 2007.
"Demographic change, social security systems, and savings,"
Journal of Monetary Economics,
Elsevier, vol. 54(1), pages 92-114, January.
- David E. Bloom & David Canning & Rick Mansfield & Michael Moore, 2006. "Demographic Change, Social Security Systems, and Savings," NBER Working Papers 12621, National Bureau of Economic Research, Inc.
- David Bloom & David Canning & Rick Mansfield & Michael Moore, 2006. "Demographic Change, Social Security Systems, and Savings," PGDA Working Papers 1906, Program on the Global Demography of Aging.
- Bommier, Antoine, 2006.
"Uncertain Lifetime and Intertemporal Choice: Risk Aversion as a Rationale for Time Discounting,"
Open Access publications from University of Toulouse 1 Capitole
http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
- Antoine Bommier, 2001. "Uncertain lifetime and intertemporal choice : risk aversion as a rationale for time discounting," Research Unit Working Papers 0108, Laboratoire d'Economie Appliquee, INRA.
- de la Croix, David & Licandro, Omar, 1999.
"Life expectancy and endogenous growth,"
Economics Letters,
Elsevier, vol. 65(2), pages 255-263, November.
- de la Croix, David & Licandro, Omar, 1997. "Life expectancy and endogenous growth," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1997029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- David de la Croix & Omar Licandro, . "Life expectancy and endogenous growth," Working Papers 97-23, FEDEA.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2008.
"Endogenous Retirement and Monetary Cycles,"
Post-Print
hal-00424801, HAL.
- Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor and Francis Journals, vol. 15(4), pages 214-229.
- D'ALBIS Hippolyte & AUGERAUD-VERON Emmanuelle, 2007. "Endogenous Retirement and Monetary Cycles," LERNA Working Papers 07.14.235, LERNA, University of Toulouse.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2008. "Endogenous Retirement and Monetary Cycles," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
- Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer, vol. 16(1), pages 135-160, 02.
- Rao Aiyagari, S., 1988.
"Nonmonetary steady states in stationary overlapping generations models with long lived agents and discounting: Multiplicity, optimality, and consumption smoothing,"
Journal of Economic Theory,
Elsevier, vol. 45(1), pages 102-127, June.
- S. Rao Aiyagari, 1987. "Nonmonetary steady states in stationary overlapping generations models with long lived agents and discounting: multiplicity, optimality, and consumption smoothing," Working Papers 325, Federal Reserve Bank of Minneapolis.
- 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.
- Boucekkine, Raouf, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Open Access publications from Université catholique de Louvain info:hdl:2078.1/75769, Université catholique de Louvain.
- 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).
- Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
- Ronald Lee, 1980. "Age Structure, Intergenerational Transfers and Economic Growth : an Overview," Revue Économique, Programme National Persée, vol. 31(6), pages 1129-1156.
- Simonovits, Andras, 1999. "Are there cycles in realistic overlapping cohorts models?," Structural Change and Economic Dynamics, Elsevier, vol. 10(2), pages 261-275, June.
- Azariadis, Costas & Bullard, James & Ohanian, Lee, 2004.
"Trend-reverting fluctuations in the life-cycle model,"
Journal of Economic Theory,
Elsevier, vol. 119(2), pages 334-356, December.
- Costas Azariadis & James Bullard & Lee Ohanian, 2001. "Trend-reverting fluctuations in the life-cycle model," Working Papers 1998-015, Federal Reserve Bank of St. Louis.
- Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-77, June.
- Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
- Blanchard, Olivier J, 1985.
"Debt, Deficits, and Finite Horizons,"
Journal of Political Economy,
University of Chicago Press, vol. 93(2), pages 223-47, April.
- Olivier J. Blanchard, 1984. "Debt, Deficits and Finite Horizons," NBER Working Papers 1389, National Bureau of Economic Research, Inc.
- Brito, Paulo & Dilao, Rui, 2006.
"Equilibrium price dynamics in an overlapping-generations exchange economy,"
MPRA Paper
699, University Library of Munich, Germany.
- Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
- Paulo Brito & Rui Dilao, 2006. "Equilibrium price dynamics in an overlapping-generations exchange economy," Working Papers 2006/27, Department of Economics at the School of Economics and Management (ISEG), Technical University of Lisbon..
- Hamid Faruqee, 2002.
"Debt, Deficits, and Age-Specific Mortality,"
IMF Working Papers
02/19, International Monetary Fund.
- Hamid Faruqee, 2003. "Debt, Deficits, and Age-specific Mortality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 300-312, April.
- Laitner, John, 2007. "Comment on: David Bloom, David Canning, Rick Mansfield, and Michael Moore's "Demographic change, social security systems, and savings"," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 115-117, January.
- S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer, vol. 32(3), pages 461-475, September.
- 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.
- Natali Hritonenko & Yuri Yatsenko, 2008. "Can Technological Change Sustain Retirement in an Aging Population?," Mathematical Population Studies, Taylor and Francis Journals, vol. 15(2), pages 96-113.
- Edmond, Chris, 2008. "An integral equation representation for overlapping generations in continuous time," Journal of Economic Theory, Elsevier, vol. 143(1), pages 596-609, November.
Citations
Blog mentions
As found by EconAcademics.org, the blog aggregator for Economics research:- Visite guidée au coeur des travaux du Meilleur jeune économiste 2012 (2/2)
by Matthieu Solignac in Regards croisés sur l'économie on 2012-06-10 22:05:40
Cited by:
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron, 2013.
"Frequency of trade and the determinacy of equilibrium in economies of overlapping generations,"
International Journal of Economic Theory,
The International Society for Economic Theory, vol. 9(1), pages 85-100, 03.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2012. "Frequency of trade and the deterrminacy of equilibrium in economies of overlapping generations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717158, HAL.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2012. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," MPRA Paper 45426, University Library of Munich, Germany.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2012. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717392, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron, 2012. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," Documents de travail du Centre d'Economie de la Sorbonne 12042, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2012. "Frequency of trade and the deterrminacy of equilibrium in economies of overlapping generations," Post-Print halshs-00717158, HAL.
Lists
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-00424799For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.

