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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.

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File URL: http://mpra.ub.uni-muenchen.de/23694/1/MPRA_paper_23694.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 23694.

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Date of creation: 06 Jul 2010
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Handle: RePEc:pra:mprapa:23694
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  1. Patrick J. Kehoe & Fabrizio Perri, 2000. "International business cycles with endogenous incomplete markets," Staff Report 265, Federal Reserve Bank of Minneapolis.
  2. 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.
  3. 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.
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  6. 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.
  7. 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.
  8. 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.
  9. Michel P. & de la Croix, D., 1999. "Myopic and Perfect Foresight in the OLG Model," G.R.E.Q.A.M. 99a35, Universite Aix-Marseille III.
  10. 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.
  11. 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, 02.
  12. 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.
  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. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  15. Campolieti, Michele, 2002. "Disability and the labor force participation of older men in Canada," Labour Economics, Elsevier, vol. 9(3), pages 405-432, July.
  16. Shankha Chakraborty, 2002. "Endogenous Lifetime and Economic Growth," University of Oregon Economics Department Working Papers 2002-03, University of Oregon Economics Department, revised 26 Jan 2002.
  17. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
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