IDEAS home Printed from https://ideas.repec.org/a/taf/mpopst/v15y2008i4p214-229.html
   My bibliography  Save this article

Endogenous Retirement and Monetary Cycles

Author

Listed:
  • HIPPOLYTE D'ALBIS
  • EMMANUELLE AUGERAUD-VERON

Abstract

In a model of overlapping generations with a continuum of finitely lived individuals, the aggregate price dynamics is characterized by a functional differential equation of mixed type. Delays and advances are exogenous when age at retirement is mandatory; they become state-dependent when individuals are allowed to choose their age at retirement. Using the Hopf bifurcation theorem, periodic solutions in the neighborhood of the monetary steady state appearing with a mandatory retirement age vanish with a chosen age.

Suggested Citation

  • Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    • Handle: RePEc:taf:mpopst:v:15:y:2008:i:4:p:214-229
    DOI: 10.1080/08898480802440786
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/08898480802440786
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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, May.
    2. de la Croix, David & Licandro, Omar, 1999. "Life expectancy and endogenous growth," Economics Letters, Elsevier, vol. 65(2), pages 255-263, November.
    3. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
    4. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    5. 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 467-467.
    6. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    7. Benhabib, Jess & Laroque, Guy, 1988. "On competitive cycles in productive economies," Journal of Economic Theory, Elsevier, vol. 45(1), pages 145-170, June.
    8. Chang, Fwu-Ranq, 1991. "Uncertain Lifetimes, Retirement and Economic Welfare," Economica, London School of Economics and Political Science, vol. 58(230), pages 215-232, May.
    9. C. Nourry & A. Venditti, 2006. "Overlapping Generations Model with Endogenous Labor Supply: General Formulation," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 355-377, February.
    10. David Cass & Menahem E. Yaari, 1965. "Individual Saving, Aggregate Capital Accumulation, and Efficient Growth," Cowles Foundation Discussion Papers 198, Cowles Foundation for Research in Economics, Yale University.
    11. Bhattacharya, Joydeep & Russell, Steven, 2003. "Two-period cycles in a three-period overlapping generations model," Journal of Economic Theory, Elsevier, vol. 109(2), pages 378-401, April.
    12. Simonovits, Andras, 1999. "Are there cycles in realistic overlapping cohorts models?," Structural Change and Economic Dynamics, Elsevier, vol. 10(2), pages 261-275, June.
    13. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    14. Swanson, Charles E., 1998. "A volatility bound for endogenous business cycles: the case of even period lives with additive utility in a monetary economy," Economics Letters, Elsevier, vol. 61(3), pages 339-344, December.
    15. Sebnem Kalemli-Ozcan & David Weil, 2010. "Mortality change, the uncertainty effect, and retirement," Journal of Economic Growth, Springer, vol. 15(1), pages 65-91, March.
    16. 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.
    17. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    18. 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.
    19. S. Rao Aiyagari, 1989. "Can There Be Short-Period Deterministic Cycles When People Are Long Lived?," The Quarterly Journal of Economics, Oxford University Press, vol. 104(1), pages 163-185.
    20. Jullien, Bruno, 1988. "Competitive business cycles in an overlapping generations economy with productive investment," Journal of Economic Theory, Elsevier, vol. 46(1), pages 45-65, October.
    21. 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.
    22. 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.
    23. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
    24. Ghiglino, Christian & Tvede, Mich, 1995. "Endowments, stability, and fluctuations in OG models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 621-653, April.
    25. Reichlin, Pietro, 1992. "Endogenous cycles with long-lived agents," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 243-266, April.
    26. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    27. Guido Cazzavillan & Patrick A. Pintus, 2004. "Robustness of Multiple Equilibria in OLG Economies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 456-475, April.
    28. S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 461-475, September.
    29. Whitesell, William, 1986. "Endogenous cycles with uncertain lifespans in continuous time," Economics Letters, Elsevier, vol. 22(2-3), pages 153-158.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Sánchez-Romero, Miguel & Sambt, Jože & Prskawetz, Alexia, 2013. "Quantifying the role of alternative pension reforms on the Austrian economy," Labour Economics, Elsevier, vol. 22(C), pages 94-114.
    2. dʼAlbis, Hippolyte & Lau, Sau-Him Paul & Sánchez-Romero, Miguel, 2012. "Mortality transition and differential incentives for early retirement," Journal of Economic Theory, Elsevier, vol. 147(1), pages 261-283.
    3. Sánchez-Romero, Miguel & d׳Albis, Hippolyte & Prskawetz, Alexia, 2016. "Education, lifetime labor supply, and longevity improvements," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 118-141.
    4. D'ALBIS Hippolyte & AUGERAUD-VÉRON Emmanuelle, 2009. "Continuous-Time Overlapping Generations Models," LERNA Working Papers 09.15.291, LERNA, University of Toulouse.
    5. Klaus Prettner & David Canning, 2014. "Increasing life expectancy and optimal retirement in general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 191-217, May.
    6. 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, May.
    7. Heijdra, Ben J. & Romp, Ward E., 2009. "Retirement, pensions, and ageing," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 586-604, April.
    8. Nicolas Drouhin, 2018. "Theoretical considerations on the retirement consumption puzzle and the optimal age of retirement," Working Papers halshs-01767096, HAL.
    9. repec:dau:papers:123456789/6825 is not listed on IDEAS
    10. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Schubert, Katheline, 2010. "Demographic-economic equilibria when the age at motherhood is endogenous," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1211-1221, November.

    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:taf:mpopst:v:15:y:2008:i:4:p:214-229. 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: (Chris Longhurst). General contact details of provider: http://www.tandfonline.com/GMPS20 .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.