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Endogenous Retirement and Monetary Cycles

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  • 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.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Mathematical Population Studies.

Volume (Year): 15 (2008)
Issue (Month): 4 ()
Pages: 214-229

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Handle: RePEc:taf:mpopst:v:15:y:2008:i:4:p:214-229

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Related research

Keywords: differential equations with state-dependent delays and advances; endogenous fluctuations; Hopf bifurcation; overlapping generations models; retirement;

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References

References listed on IDEAS
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  1. 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.
  2. 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.
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  5. Raouf Boucekkine & David De La 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.
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  22. 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.
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  24. 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.
  25. 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.
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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 2012-05-28 19:26:09
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Cited by:
  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, 05.
  2. Sánchez-Romero, Miguel & Sambt, Jože & Prskawetz, Alexia, 2012. "Quantifying the role of alternative pension reforms on the Austrian economy," ECON WPS - Vienna University of Technology Working Papers in Economic Theory and Policy 04/2012, Vienna University of Technology, Institute for Mathematical Methods in Economics, Research Group Economics (ECON).
  3. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
  4. Hippolyte D'Albis & Paul Lau Sau-Him & Miguel Sanchez-Romero, 2012. "Mortality transition and differential incentives for early retirement," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00659868, HAL.
  5. Ben J. Heijdra & Ward E. Romp, 2007. "Retirement, Pensions, and Ageing," CESifo Working Paper Series 1974, CESifo Group Munich.
  6. repec:hal:cesptp:hal-00659868 is not listed on IDEAS
  7. 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.

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