G. Ainslie, Specious reward: A behavioural theory of impulsiveness and impulse control, Psychological Bulletin, vol.82, issue.4, pp.463-496, 1975.

M. Allais, Economie et Intérêt. Imprimerie Nationale, 1947.

S. Andersen, G. W. Harrison, M. I. Lau, E. E. Rutström, and E. E. , Discounting behaviour and the magnitude effect: Evidence from a field experiment in denmark, Economica, vol.80, issue.320, pp.670-697, 2013.

S. Andersen, G. W. Harrison, M. I. Lau, and E. E. Rutström, Discounting behavior: A reconsideration, European Economic Review, vol.71, pp.15-33, 2014.

J. Andreoni and C. Sprenger, Estimating time preferences from convex budgets, The American Economic Review, vol.102, issue.7, pp.3333-3356, 2012.
DOI : 10.3386/w16347

URL : https://doi.org/10.3386/w16347

O. P. Attanasio, Consumption. Handbook of macroeconomics 1, pp.741-812, 1999.

N. Augenblick, M. Niederle, and C. Sprenger, Working over time: Dynamic inconsistency in real effort tasks, The Quarterly Journal of Economics, vol.130, issue.3, pp.1067-1115, 2015.

T. T. Azomahou, R. Boucekkine, and B. Diene, A closer look at the relationship between life expectancy and economic growth, International Journal of Economic Theory, vol.5, issue.2, pp.201-244, 2009.

R. J. Barro, Ramsey meets Laibson in the neoclassical growth model, Quarterly Journal of Economics, vol.114, issue.4, pp.1125-1152, 1999.

G. S. Becker and C. B. Mulligan, The endogenous determination of time preference, Quarterly Journal of Economics, vol.112, issue.3, pp.729-758, 1997.

A. B. Berkelaar, R. Kouwenberg, and T. Post, Optimal portfolio choice under loss aversion, Review of Economics and Statistics, vol.86, issue.4, pp.973-987, 2004.
DOI : 10.2139/ssrn.214569

URL : https://repub.eur.nl/pub/1641/feweco20000301140536.pdf

B. D. Bernheim and A. Rangel, Behavioral public economics: Welfare and policy analysis with nonstandard decision-makers, Behavioral economics and its applications, pp.7-77, 2007.
DOI : 10.3386/w11518

URL : https://doi.org/10.3386/w11518

C. Blackorby, D. Nissen, D. Primont, and R. R. Russell, Consistent intertemporal decision making, The Review of Economic Studies, vol.40, issue.2, pp.239-248, 1973.
DOI : 10.2307/2296650

C. Blackorby, D. Primont, and R. R. Russel, Duality, Separability, and Functional Structure: Theory and Applications, 1978.

O. J. Blanchard, Debt, deficits, and finite horizons, Journal of political economy, vol.93, issue.2, pp.223-247, 1985.

A. Bommier, Life-cycle preferences revisited, Journal of the European Economic Association, vol.11, issue.6, pp.1290-1319, 2013.

A. Bommier, A. Chassagnon, and F. L. Grand, Comparative risk aversion: A formal approach with applications to saving behavior, Journal of Economic Theory, vol.147, issue.4, pp.1614-1641, 2012.
URL : https://hal.archives-ouvertes.fr/halshs-00754583

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.

H. S. Burness, A note on consistent naive intertemporal decision making and an application to the case of uncertain lifetime, The Review of Economic Studies, vol.43, issue.3, pp.547-549, 1976.

C. D. Carroll, Buffer-stock saving and the life cycle/permanent income hypothesis, The Quarterly Journal of Economics, vol.112, issue.1, pp.1-55, 1997.

A. Chakraborty, E. M. Calford, G. Fenig, and Y. Halevy, External and internal consistency of choices made in convex time budgets, Experimental economics, vol.20, issue.3, pp.687-706, 2017.

P. Diamond and B. Köszegi, Quasi-hyperbolic discounting and retirement, Journal of Public Economics, vol.87, issue.10, pp.1839-1872, 2003.

N. Drouhin, Hyperbolic discounting may be time consistent, Economics Bulletin, vol.29, issue.4, pp.2552-2558, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00633177

N. Drouhin, A rank-dependent utility model of uncertain lifetime, Journal of Economic Dynamics and Control, vol.53, issue.0, pp.208-224, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01311140

L. G. Epstein and J. A. Hynes, The rate of time preference and dynamic economic analysis, Journal of Political Economy, vol.91, issue.4, pp.611-635, 1983.

H. Faruqee, Debt, deficits, and age-specific mortality, Review of Economic Dynamics, vol.6, issue.2, pp.300-312, 2003.

T. S. Findley and F. N. Caliendo, Time inconsistency and retirement choice, Economics Letters, vol.129, pp.4-8, 2015.

P. C. Fishburn and A. Rubinstein, Time preference, International Economic Review, vol.23, issue.3, pp.677-694, 1982.

I. Fisher, The theory of interest, 1930.

S. Frederick, G. Loewenstein, and T. O'donoghue, Time discounting and time preference: A critical review, Journal of Economic Literature, vol.40, issue.2, pp.351-401, 2002.

C. Gollier, The economics of risk and time, 2001.

C. Gollier and R. Zeckhauser, Aggregation of heterogeneous time preferences, Journal of Political Economy, vol.113, issue.4, pp.878-896, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00079305

C. Gollier and R. J. Zeckhauser, Horizon length and portfolio risk, Journal of Risk and Uncertainty, vol.24, issue.3, pp.195-212, 2002.

P. Gourinchas and J. A. Parker, Consumption over the life cycle, Econometrica, vol.70, issue.1, pp.47-89, 2002.

J. Gruber and B. Köszegi, Is addiction "rational"? theory and evidence, The Quarterly Journal of Economics, vol.116, issue.4, pp.1261-1303, 2001.

Y. Halevy, Time consistency: Stationarity and time invariance, vol.83, pp.335-352, 2015.

R. E. Hall, Stochastic implications of the life cycle-permanent income hypothesis: theory and evidence, Journal of political economy, vol.86, issue.6, pp.971-987, 1978.

C. Harris and D. Laibson, Dynamic choices of hyperbolic consumers, Econometrica, vol.69, issue.4, pp.935-957, 2001.

C. Harris and D. Laibson, Instantaneous gratification, Quarterly Journal of Economics, vol.128, issue.1, pp.205-248, 2013.

G. W. Harrison, M. I. Lau, and E. E. Rutström, Estimating risk attitudes in denmark: A field experiment, Scandinavian Journal of Economics, vol.109, issue.2, pp.341-368, 2007.

G. W. Harrison, M. I. Lau, and E. Rutstrom, Dynamic consistency in denmark: A longitudinal field experiment, 2005.

C. M. Harvey, Value functions for infinite-period planning, Management Science, vol.32, issue.9, pp.1123-1139, 1986.

C. M. Harvey and L. P. , Discounting models for outcomes over continuous time, Journal of Mathematical Economics, vol.48, issue.5, pp.284-294, 2012.

M. S. Kimball, Precautionary saving in the small and in the large, Econometrica, vol.58, issue.1, pp.53-73, 1990.

T. C. Koopmans, Stationary ordinal utility and impatience, Econometrica, vol.28, issue.2, pp.287-309, 1960.

T. C. Koopmans, Decision and Organization, a Volume in Honor of Jacob Marschak, pp.79-100, 1972.

D. Laibson, Hyperbolic discounting and consumption, 1994.

D. Laibson, Golden eggs and hyperbolic discounting, Quarterly Journal of Economics, vol.112, issue.2, pp.443-477, 1997.

D. Laibson, Life-cycle consumptions and hyperbolic discount functions, European Economic Review, vol.42, pp.861-871, 1998.

S. P. Lau, Demographic structure and capital accumulation: A quantitative assessment, Journal of Economic Dynamics and Control, vol.33, issue.3, pp.554-567, 2009.

G. Loewenstein and D. Prelec, Anomalies in intertemporal choice: Evidence and an interpretation, The Quarterly Journal of Economics, vol.107, issue.2, pp.573-597, 1992.

R. C. Merton, Lifetime portfolio selection under uncertainty: The continuous-time case. The review of Economics and Statistics, pp.247-257, 1969.

D. C. Nachman, Risk aversion, impatience, and optimal timing decisions, Journal of Economic Theory, vol.11, issue.2, pp.196-246, 1975.

T. O'donoghue and M. Rabin, Doing it now or later, The American Economic Review, vol.89, issue.1, pp.103-124, 1999.

T. O'donoghue and M. Rabin, Choice and procrastination, Quarterly Journal of Economics, vol.116, issue.1, pp.121-160, 2001.

J. Pan, C. S. Webb, and H. Zank, An extension of quasi-hyperbolic discounting to continuous time, Games and Economic Behavior, vol.89, issue.0, pp.43-55, 2015.

B. Peleg and M. E. Yaari, On the existence of a consistent course of action when tastes are changing, The Review of Economic Studies, vol.40, issue.3, pp.391-401, 1973.

E. S. Phelps and R. A. Pollak, On second-best national saving and gameequilibrium growth, The Review of Economic Studies, vol.35, issue.2, pp.185-199, 1968.

R. A. Pollak, Consistent planning, The Review of Economic Studies, vol.35, issue.2, pp.201-208, 1968.
DOI : 10.2307/2296548

D. Prelec, Decreasing impatience: A criterion for non-stationary time preference and 'hyperbolic' discounting, Scandinavian Journal of Economics, vol.106, issue.3, pp.511-532, 2004.

J. Quiggin, A theory of anticipated utility, Journal of Economic Behavior & Organization, vol.3, issue.4, pp.323-343, 1982.

F. P. Ramsey, A mathematical theory of saving, The Economic Journal, vol.38, issue.152, pp.543-559, 1928.

G. Saint-paul, The tyranny of utility: Behavioral social science and the rise of paternalism, 2011.

P. A. Samuelson, A note on measurement of utility, Review of Economic Studies, vol.4, pp.155-161, 1937.

P. A. Samuelson, Lifetime portfolio selection by dynamic stochastic programming. The review of economics and statistics, pp.239-246, 1969.

S. Sayman and A. Onculer, An investigation of time inconsistency, Management Science, vol.55, issue.3, pp.470-482, 2009.

E. Sheshinski, The Economic Theory of Annuities, 2007.

C. Spaenjers and S. M. Spira, Subjective life horizon and portfolio choice, Journal of Economic Behavior & Organization, vol.116, pp.94-106, 2015.
DOI : 10.2139/ssrn.2336124

R. H. Strotz, Myopia and inconsistency in dynamic utility maximisation, Review of Economic Studies, vol.23, issue.2, pp.165-180, 1956.
DOI : 10.1007/978-1-349-15492-0_10

R. Thaler, Some empirical evidence on dynamic inconsistency, Economics Letters, vol.8, pp.201-207, 1981.
DOI : 10.1016/0165-1765(81)90067-7

R. H. Thaler and C. R. Sunstein, Libertarian paternalism. The American Economic, Review, vol.93, issue.2, pp.175-179, 2003.

L. C. Thurow, The optimum lifetime distribution of consumption expenditures, The American Economic Review, vol.59, issue.3, pp.324-330, 1969.

P. P. Wakker, Additive representations of preferences: A new foundation of decision analysis, vol.4, 1989.

M. E. Yaari, On the consumer's lifetime allocation process, International Economic Review, vol.5, issue.3, pp.304-317, 1964.

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.