IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00547274.html
   My bibliography  Save this paper

Demographic-economic equilibria when the age at motherhood is endogenous

Author

Listed:
  • Hippolyte d'Albis

    (TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique, LERNA - Economie des Ressources Naturelles - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - CEA - Commissariat à l'énergie atomique et aux énergies alternatives)

  • Emmanuelle Augeraud-Véron

    (MIA - Mathématiques, Image et Applications - EA 3165 - ULR - La Rochelle Université)

  • Katheline Schubert

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

In this article, we study the joint dynamics of the demography and the economy. We explore how economic conditions affect fertility choices, and in return how the population growth rate affects both financial and labor markets. Our main contribution is to consider a realistic demographic setup that allows characterizing the age at which individuals decide to give birth to their children. In such a framework, we aim at studying the existence of an equilibrium. We notably prove there exists a monetary steady state if the average age of consumers is greater than the average age of producers.

Suggested Citation

  • Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Katheline Schubert, 2010. "Demographic-economic equilibria when the age at motherhood is endogenous," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00547274, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00547274
    DOI: 10.1016/j.jmateco.2010.09.001
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00547274
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00547274/document
    Download Restriction: no

    File URL: https://libkey.io/10.1016/j.jmateco.2010.09.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Michel, Philippe & Pestieau, P, 1993. "Population Growth and Optimality: When Does Serendipity Hold?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 6(4), pages 353-362, November.
    2. Hippolyte d’Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 181-186, January.
    3. David de la Croix & Omar Licandro, 2013. "The Child is Father Of the Man: Implications for the Demographic Transition," Economic Journal, Royal Economic Society, vol. 123(567), pages 236-261, March.
    4. Raouf Boucekkine & Rodolphe Desbordes & Hélène Latzer, 2009. "How do epidemics induce behavioral changes?," Journal of Economic Growth, Springer, vol. 14(3), pages 233-264, September.
    5. d'Albis, Hippolyte, 2007. "Demographic structure and capital accumulation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 411-434, January.
    6. 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(6), pages 467-467.
    7. Raouf Boucekkine & David Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
    8. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    9. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    10. 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.
    11. Kalemli-Ozcan, Sebnem, 2003. "A stochastic model of mortality, fertility, and human capital investment," Journal of Development Economics, Elsevier, vol. 70(1), pages 103-118, February.
    12. repec:cor:louvrp:-1758 is not listed on IDEAS
    13. 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.
    14. Heckman, James J & Walker, James R, 1990. "The Relationship between Wages and Income and the Timing and Spacing of Births: Evidence from Swedish Longitudinal Data," Econometrica, Econometric Society, vol. 58(6), pages 1411-1441, November.
    15. Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-538, October.
    16. Deardorff, Alan V, 1976. "The Optimum Growth Rate for Population: Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 510-515, June.
    17. repec:cor:louvrp:-2160 is not listed on IDEAS
    18. 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, February.
    19. Siv Gustafsson, 2001. "Optimal age at motherhood. Theoretical and empirical considerations on postponement of maternity in Europe," Journal of Population Economics, Springer;European Society for Population Economics, vol. 14(2), pages 225-247.
    20. 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 241-246, February.
    21. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240, National Bureau of Economic Research, Inc.
    22. Ronald Lee, 1980. "Age Structure, Intergenerational Transfers and Economic Growth : an Overview," Revue Économique, Programme National Persée, vol. 31(6), pages 1129-1156.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Visite guidée au coeur des travaux du Meilleur jeune économiste 2012 (1/2)
      by Matthieu Solignac in Regards croisés sur l'économie on 2012-05-29 00:26:09

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pierre Pestieau & Gregory Ponthiere, 2013. "Childbearing Age, Family Allowances, and Social Security," Southern Economic Journal, John Wiley & Sons, vol. 80(2), pages 385-413, October.
    2. Pierre Pestieau & Gregory Ponthiere, 2014. "Optimal fertility along the life cycle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 185-224, January.
    3. de la Croix, David & Pommeret, Aude, 2021. "Childbearing postponement, its option value, and the biological clock," Journal of Economic Theory, Elsevier, vol. 193(C).
    4. d'Albis, Hippolyte & Greulich, Angela & Ponthiere, Gregory, 2018. "Development, fertility and childbearing age: A Unified Growth Theory," Journal of Economic Theory, Elsevier, vol. 177(C), pages 461-494.
    5. Pestieau, Pierre & Ponthiere, Gregory, 2016. "Long-term care and births timing," Journal of Health Economics, Elsevier, vol. 50(C), pages 340-357.
    6. Johanna Etner & Natacha Raffin & Thomas Seegmuller, 2022. "Postponement, career development and fertility rebound," Working Papers hal-03862590, HAL.
    7. Nicolas Abad & Johanna Etner & Natacha Raffin & Thomas Seegmuller, 2024. "New fertility patterns: The role of human versus physical capital," AMSE Working Papers 2416, Aix-Marseille School of Economics, France.
    8. Pierre Pestieau & Gregory Ponthiere, 2015. "Optimal life-cycle fertility in a Barro-Becker economy," Journal of Population Economics, Springer;European Society for Population Economics, vol. 28(1), pages 45-87, January.
    9. Brito, Paulo, 2014. "Interest rates and endogenous population growth: joint age-dependent dynamics," MPRA Paper 58656, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Augeraud-Véron, Emmanuelle & D'Albis, Hippolyte, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
    2. 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.
    3. d'Albis, Hippolyte, 2007. "Demographic structure and capital accumulation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 411-434, January.
    4. Lee, R., 2016. "Macroeconomics, Aging, and Growth," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 59-118, Elsevier.
    5. Stelter, Robert, 2016. "Over-aging — Are present-day human populations too old?," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 116-143.
    6. Lee, Ronald D., 2019. "Samuelson's Contributions to Population Theory and Overlapping Generations in Economics," IZA Discussion Papers 12442, Institute of Labor Economics (IZA).
    7. Brito, Paulo, 2014. "Interest rates and endogenous population growth: joint age-dependent dynamics," MPRA Paper 58656, University Library of Munich, Germany.
    8. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2015. "Local determinacy of prices in an overlapping generations model with continuous trading," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 16-24.
    9. David Oxborrow & Stephen J. Turnovsky, 2017. "Closing the Small Open Economy Model: A Demographic Approach," Review of International Economics, Wiley Blackwell, vol. 25(1), pages 44-75, February.
    10. 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.
    11. Jochen Mierau & Stephen Turnovsky, 2014. "Demography, growth, and inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 29-68, January.
    12. 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.
    13. 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, February.
    14. Pierre Pestieau & Gregory Ponthiere, 2017. "Optimal fertility under age-dependent labour productivity," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(2), pages 621-646, April.
    15. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    16. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    17. Hippolyte d'Albis & Angela Luci Greulich & Grégory Ponthière, 2015. "Avoir un enfant plus tard: Enjeux sociodémographiques du report des naissances," Post-Print halshs-01245523, HAL.
    18. Hippolyte d’ALBIS & Dalal MOOSA, 2015. "Generational Economics and the National Transfer Accounts," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 81(4), pages 409-441, December.
    19. Hippolyte D'Albis & Angela Greulich & Grégory Ponthière, 2015. "AVOIR UN ENFANT PLUS TARD Enjeux sociodémographiques du report des naissances," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01298929, HAL.
    20. Gehringer, Agnieszka & Prettner, Klaus, 2019. "Longevity And Technological Change," Macroeconomic Dynamics, Cambridge University Press, vol. 23(4), pages 1471-1503, June.

    More about this item

    Keywords

    Demographic economics; fertility choices; monetary equilibrium;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00547274. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.