H. Albis and E. , Endogenous Retirement and Monetary Cycles, Mathematical Population Studies, vol.15, issue.4, pp.214-229, 2008.
DOI : 10.1016/0165-1765(86)90223-5
URL : https://hal.archives-ouvertes.fr/hal-00424801

O. J. Blanchard, Debt, Deficits, and Finite Horizons, Journal of Political Economy, vol.93, issue.2, pp.223-247, 1985.
DOI : 10.1086/261297

D. E. Bloom, D. Canning, R. K. Mansfield, and M. Moore, Demographic change, social security systems, and savings, Journal of Monetary Economics, vol.54, issue.1, pp.92-114, 2007.
DOI : 10.1016/j.jmoneco.2006.12.004

D. E. Bloom, D. Canning, and M. Moore, Optimal retirement and saving with healthy aging, Working Paper, Harvard School of Public Health and Queen's University (A previous version was entitled " A theory of retirement

A. Bommier, Rational impatience? Working Paper, Toulouse School of Economics, 2008.

R. Boucekkine, D. De-la-croix, and O. Licandro, Vintage Human Capital, Demographic Trends, and Endogenous Growth, Journal of Economic Theory, vol.104, issue.2, pp.340-375, 2002.
DOI : 10.1006/jeth.2001.2854
URL : http://hdl.handle.net/2078.1/5546

F. Chang, Uncertain Lifetimes, Retirement and Economic Welfare, Economica, vol.58, issue.230, pp.215-232, 1991.
DOI : 10.2307/2554653
URL : http://doi.org/10.2307/2554653

D. L. Costa, The Evolution of Retirement, Univ, 1998.

D. Cutler, A. Deaton, and A. Lleras-muney, The Determinants of Mortality, Journal of Economic Perspectives, vol.20, issue.3, pp.97-120, 2006.
DOI : 10.1257/jep.20.3.97

J. Gruber and D. A. Wise, Social security and retirement: An international comparison, Amer. Econ. Rev. Papers and Proceedings, vol.88, issue.2, pp.158-163, 1998.

J. Gruber and D. A. Wise, Introduction and summary, Social Security and Retirement around the World, pp.1-35, 1999.

G. D. Hansen and S. Imrohoro?-glu, Consumption over the life cycle: The role of annuities, Review of Economic Dynamics, vol.11, issue.3, pp.566-583, 2008.
DOI : 10.1016/j.red.2007.12.004

M. Hazan, Longevity and Lifetime Labor Supply: Evidence and Implications, SSRN Electronic Journal, vol.77, pp.1829-1863, 2009.
DOI : 10.2139/ssrn.941936

B. J. Heijdra and J. O. Mierau, Annuity market imperfection, retirement and economic growth, CESifo Working Paper 2717, 2009.

B. J. Heijdra and W. , Retirement, pensions, and ageing, Journal of Public Economics, vol.93, issue.3-4, pp.586-604, 2009.
DOI : 10.1016/j.jpubeco.2008.10.009
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.584.5974

S. Hu, Economic growth in the perpetual-youth model: Implications of the annuity market and demographics, Journal of Macroeconomics, vol.21, issue.1, pp.107-124, 1999.
DOI : 10.1016/S0164-0704(99)00093-2

S. Kalemli-ozcan and D. Weil, Mortality change, the uncertainty effect, and retirement, Journal of Economic Growth, vol.70, issue.2, pp.65-91, 2010.
DOI : 10.1007/s10887-010-9050-1

R. Lee, The formal demography of population aging, transfers, and the economic life cycle, Demography of Aging, pp.8-49, 1994.

A. R. Omran, The Epidemiologic Transition: A Theory of the Epidemiology of Population Change, The Milbank Memorial Fund Quarterly, vol.49, issue.4, pp.509-538, 1971.
DOI : 10.2307/3349375

H. E. Ryder and G. M. Heal, Optimal Growth with Intertemporally Dependent Preferences, The Review of Economic Studies, vol.40, issue.1, pp.40-41, 1973.
DOI : 10.2307/2296736

E. Sheshinski, The Economic Theory of Annuities, 2008.

V. Volterra, Theory of Functionals and of Integral and Integrodifferential Equations, 1959.

J. R. Wilmoth and S. Horiuchi, Rectangularization Revisited: Variability of Age at Death within Human Populations, Demography, vol.36, issue.4, pp.475-495, 1999.
DOI : 10.2307/2648085

M. E. Yaari, Uncertain Lifetime, Life Insurance, and the Theory of the Consumer, The Review of Economic Studies, vol.32, issue.2, pp.137-150, 1965.
DOI : 10.2307/2296058

J. Zhang, J. Zhang, and R. Lee, Rising longevity, education, savings, and growth, Journal of Development Economics, vol.70, issue.1, pp.83-101, 2003.
DOI : 10.1016/S0304-3878(02)00088-3