IDEAS home Printed from
   My bibliography  Save this paper

Complex equilibrium dynamics in a simple OLG model of neoclassical growth with endogenous retirement age and public pensions


  • Fanti, Luciano
  • Gori, Luca


We analyse the steady-state equilibrium dynamics of the conventional overlapping generations economy à la Diamond (1965) with pay-as-you-go public pensions and second period of life divided between working and retirement time in a proportion dependent on the individual health status (a rather realistic assumption especially in the current world with high longevity). In contrast to an economy without public health spending – which is always stable with monotonic trajectories –, an economy with tax-financed health care services (which in turn affect the individual health status and hence the length of the retirement time) may experience complex equilibrium dynamics with deterministic chaotic business cycles and, in particular, complicated dynamical phenomena, such as multiple “bubblings” may occur when crucial economic parameters change. Interestingly, it is shown that increasing the size of PAYG pensions, although initially may trigger chaotic cycles, eventually works for stability.

Suggested Citation

  • Fanti, Luciano & Gori, Luca, 2010. "Complex equilibrium dynamics in a simple OLG model of neoclassical growth with endogenous retirement age and public pensions," MPRA Paper 23694, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:23694

    Download full text from publisher

    File URL:
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    1. Michael C.M. Leung & Yong Wang, 2010. "Endogenous Health Care, Life Expectancy And Economic Growth," Pacific Economic Review, Wiley Blackwell, vol. 15(1), pages 11-31, February.
    2. K Blackburn & H Issa, 2002. "Endogenous Life Expectancy in a Simple Model of Growth," Centre for Growth and Business Cycle Research Discussion Paper Series 13, Economics, The Univeristy of Manchester.
    3. Currie, Janet & Madrian, Brigitte C., 1999. "Health, health insurance and the labor market," Handbook of Labor Economics,in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 50, pages 3309-3416 Elsevier.
    4. Michel, Philippe & de la Croix, David, 2000. "Myopic and perfect foresight in the OLG model," Economics Letters, Elsevier, vol. 67(1), pages 53-60, April.
    5. Ecob, Russell & Davey Smith, George, 1999. "Income and health: what is the nature of the relationship?," Social Science & Medicine, Elsevier, vol. 48(5), pages 693-705, March.
    6. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    7. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    8. Chen, Hung-Ju & Li, Ming-Chia & Lin, Yung-Ju, 2008. "Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 48-56, July.
    9. Lixin Cai & Guyonne Kalb, 2006. "Health status and labour force participation: evidence from Australia," Health Economics, John Wiley & Sons, Ltd., vol. 15(3), pages 241-261.
    10. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
    11. Disney, Richard & Emmerson, Carl & Wakefield, Matthew, 2006. "Ill health and retirement in Britain: A panel data-based analysis," Journal of Health Economics, Elsevier, vol. 25(4), pages 621-649, July.
    12. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    13. Momota, Akira, 2003. "A retirement decision in the presence of a social security system," Journal of Macroeconomics, Elsevier, vol. 25(1), pages 73-86, March.
    14. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    15. K Blackburn & H Issa, 2002. "Endogenous Life Expectancy in a Simple Model of Growth," The School of Economics Discussion Paper Series 0217, Economics, The University of Manchester.
    16. Blackburn, Keith & Cipriani, Giam Pietro, 2002. "A model of longevity, fertility and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 187-204, February.
    17. Campolieti, Michele, 2002. "Disability and the labor force participation of older men in Canada," Labour Economics, Elsevier, vol. 9(3), pages 405-432, July.
    Full references (including those not matched with items on IDEAS)

    More about this item


    Health; Old-age workers; OLG model; Perfect foresight; Public PAYG pensions;

    JEL classification:

    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:pra:mprapa:23694. 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: (Joachim Winter). General contact details of provider: .

    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.