Consumption and portfolio decisions with uncertain lifetimes

Angeletos, G.M., Laibson, D., Repetto, A., Tobacman, J., Weinberg, S.: The hyperbolic consumption model: calibration, simulation, and empirical evaluation. J. Econ. Perspect. 15(3), 47–68 (2001)

Akerlof, G.A.: Procrastination and obedience. Am. Econ. Rev. 81(2), 1–19 (1991)

Azfar, O.: Rationalizing hyperbolic discounting. J. Econ. Behav. Organ. 38(2), 245–252 (1999)

Basak, S., Chabakauri, G.: Dynamic mean-variance asset allocation. Rev. Financ. Stud. 23(8), 2970–3016 (2010)

Bommier, A.: Portfolio choice under uncertain lifetime. J. Public Econ. Theory 12(1), 57–73 (2010)

Barro, R.J.: Ramsey meets Laibson in the neoclassical growth model. Q. J. Econ. 114(4), 1125–1152 (1999)

Bagliano, F.C., Fugazza, C., Nicodano, G.: Optimal life-cycle portfolios for heterogeneous workers. Rev. Finance 18(6), 2283–2323 (2014)

Björk, T., Murgoci, A.: A general theory of Markovian time inconsistent stochastic control problems. SSRN:1694759 (2010)

Björk, T., Murgoci, A.: A theory of Markovian time-inconsistent stochastic control in discrete time. Finance Stoch. 18(3), 545–592 (2014)

Björk, T., Murgoci, A., Zhou, X.Y.: Mean-variance portfolio optimization with state-dependent risk aversion. Math. Finance 24(1), 1–24 (2014)

Björk, T., Khapko, M., Murgoci, A.: On time-inconsistent stochastic control in continuous time. Finance Stoch. 21(2), 331–360 (2017)

Beshears, J., Choi, J.J., Laibson, D., Madrian, B.C.: Does aggregated returns disclosure increase portfolio risk taking? Rev. Financ. Stud. 30(6), 1971–2005 (2017)

Chang, F.R.: Stochastic Optimization in Continuous Time. Cambridge University Press, Cambridge (2004)

Chen, S., Fu, R., Wedge, L., Zou, Z.: Non-hyperbolic discounting and dynamic preference reversal. Theor. Decis. 86(2), 283–302 (2019)

Chen, H., Ju, N., Miao, J.: Dynamic asset allocation with ambiguous return predictability. Rev. Econ. Dyn. 17(4), 799–823 (2014a)

Chen, S., Li, Z., Zeng, Y.: Optimal dividend strategies with time-inconsistent preferences. J. Econ. Dyn. Control 46, 150–172 (2014b)

Cocco, J.F., Gomes, F.J., Maenhout, P.J.: Consumption and portfolio choice over the life cycle. Rev. Financ. Stud. 18(2), 491–533 (2005)

De Nardi, M.: Wealth inequality and intergenerational links. Rev. Econ. Stud. 71(3), 743–768 (2004)

DellaVigna, S., Malmendier, U.: Contract design and self control: theory and evidence. Q. J. Econ. 119(2), 353–402 (2004)

Ekeland, I., Lazrak, A.: Being serious about non-commitment: subgame perfect equilibrium in continuous time. arXiv:math/0604264v1 (2006)

Ekeland, I., Karp, L., Sumaila, R.: Equilibrium resource management with altruistic overlapping generations. J. Environ. Econ. Manag. 70, 1–16 (2015)

Epstein, L.G., Zin, S.E.: Substitution, risk aversion and the temporal behavior of consumption and asset returns: an empirical analysis. J. Polit. Econ. 99(2), 263–286 (1991)

Ekeland, I., Pirvu, T.A.: Investment and consumption without commitment. Math. Financ. Econ. 2(1), 57–86 (2008)

Ekeland, I., Mbodji, O., Pirvu, T.A.: Time-consistent portfolio management. SIAM J. Financ. Math. 3(1), 1–32 (2012)

Ekeland, I., Lazrak, A.: The golden rule when preferences are time-inconsistent. Math. Financ. Econ. 4(1), 29–55 (2010)

Frederick, S., Loewenstein, G., O’Donoghue, T.: Time discounting and time preference: a critical review. J. Econ. Literat. 40(2), 351–401 (2002)

Gollier, C.: The Economics of Risk and Time. MIT Press, Cambridge (2001)

Gong, L.T., Smith, W., Zou, H.F.: Consumption and Risk with hyperbolic discounting. Econ. Lett. 96(2), 153–160 (2007)

Gul, F., Pesendorfer, W.: Temptation and self-control. Econometrica 69(6), 1403–1435 (2001)

Green, L., Myerson, J.: Exponential versus hyperbolic discounting of delayed outcomes: risk and waiting time. Am. Zool. 36(4), 496–505 (1996)

Grenadier, S.R., Wang, N.: Investment under uncertainty and time-inconsistent preferences. J. Financ. Econ. 84(1), 2–39 (2007)

Gourinchas, P.O., Parker, J.A.: Consumption over the life cycle. Econometrica 70(1), 47–89 (2002)

Harris, C., Laibson, D.: Instantaneous gratification. Q. J. Econ. 128(1), 205–248 (2013)

Halevy, Y.: Time consistency: stationarity and time invariance. Econometrica 83(1), 335–352 (2015)

Halevy, Y.: Diminishing Impatience: Disentangling Time Preference from Uncertain Lifetime, unpublished working paper, Department of Economics, University of British Columbia (2005)

Halevy, Y.: Strotz meets allais: diminishing impatience and the certainty effect. Am. Econ. Rev. 98(3), 1145–1162 (2008)

He, X.D., Jiang, Z.: On the Equilibrium Stragegies for Time-Inconsistent Problems in Continuous Time. Available at SSRN: https://ssrn.com/abstract=3308274 or https://doi.org/10.2139/ssrn.3308274 (2019)

Huang, Y.J., Zhou, Z.: Strong and Weak Equilibria for Time-Inconsistent Stochastic Control in Continuous Time. Available at arXiv:1809.09243v3 (2019)

Karp, L.: Non-constant discounting in continuous time. J. Econ. Theory 132(1), 557–568 (2007)

Koopmans, T.C.: Stationary ordinal utility and impatience. Econometrica 28(2), 287–309 (1960)

Kotlikoff, L.J., Summers, L.H.: The role of intergenerational transfers in aggregate capital accumulation. J. Polit. Econ. 89(4), 706–732 (1981)

Kuehlwein, M.: Life-cycle and altruistic theories of saving with lifetime uncertainty. Rev. Econ. Stat. 75(1), 38–47 (1993)

Kinari, Y., Ohtake, F., Tsutsui, Y.: Time discounting: declining impatience and interval effect. J. Risk Uncertain. 39(1), 87–112 (2009)

Laitner, J.: Secular changes in wealth inequality and inheritance. Econ. J. 111(474), 691–721 (2001)

Marín-Solano, J., Navas, J.: Non-constant discounting in finite horizon: the free terminal time case. J. Econ. Dyn. Control 33(3), 666–675 (2009)

Marín-Solano, J., Navas, J.: Consumption and portfolio rules for time-inconsistent investors. Eur. J. Oper. Res. 201(3), 860–872 (2010)

McClure, S.M., Laibson, D., Loewenstein, G., Cohen, J.D.: Separate neural systems value immediate and delayed monetary rewards. Science 306(5695), 503–507 (2004)

McClure, S.M., Ericson, K.M., Laibson, D., Loewenstein, G., Cohen, J.D.: Time discounting for primary rewards. J. Neurosci. 27(21), 5796–5804 (2007)

Merton, R.C.: Lifetime portfolio selection under uncertainty: the continuous-time case. Rev. Econ. Stat. 51, 247–257 (1969)

Merton, R.C.: Optimum consumption and portfolio rules in a continuous-time model. J. Econ. Theory 3, 373–413 (1971)

Miao, J.: Option exercise with temptation. Econ. Theor. 34(3), 473–501 (2008)

O’Donoghue, T., Rabin, M.: Doing it now or later. Am. Econ. Rev. 89(1), 103–124 (1999)

O’Donoghue, T., Rabin, M.: Present bias: lessons learned and to be learned. Am. Econ. Rev. 105(5), 273–279 (2015)

Palacios-Huerta, I., Pérez-Kakabadse, A.: Consumption and portfolio rules with stochastic hyperbolic discounting, unpublished working paper, London School of Economics, London, UK (2013)

Phelps, E.S., Pollak, R.A.: On second-best national saving and game-equilibrium growth. Rev. Econ. Stud. 35(2), 185–199 (1968)

Read, D.: Is time-discounting hyperbolic or subadditive? J. Risk Uncertain. 23(1), 5–32 (2001)

Read, D., Roelofsma, P.H.: Subadditive versus hyperbolic discounting: a comparison of choice and matching. Organ. Behav. Hum. Decis. Process. 91(2), 140–153 (2003)

Strotz, R.H.: Myopia and inconsistency in dynamic utility maximization. Rev. Econ. Stud. 23(3), 165–180 (1955)

Sozou, P.D.: On hyperbolic discounting and uncertain hazard rates. Proc. R. Soc. Lond. (Ser. B-Biol. Sci.) 265(1409), 2015–2020 (1998)

Scholten, M., Read, D.: Discounting by intervals: a generalised model of intertemporal choice. Manag. Sci. 52(9), 1424–1436 (2006)

Thaler, R.H., Shefrin, H.M.: An economic theory of self-control. J. Polit. Econ. 89(2), 392–406 (1981)

Weibull, W.: A statistical distribution function of wide applicability. J. Appl. Mech. 18(3), 293–297 (1951)

Wang, C., Wang, N., Yang, J.: A unified model of entrepreneurship dynamics. J. Financ. Econ. 106(1), 1–23 (2012)

Wei, J., Li, D., Zeng, Y.: Robust Optimal consumption-investment strategy with non-exponential discounting. J. Ind. Manag. Optim. 16(1), 207–230 (2018)

Weil, P.: Nonexpected utility in macroeconomics. Q. J. Econ. 105(1), 29–42 (1990)

Yaari, M.E.: Uncertain lifetime, life insurance, and the theory of the consumer. Rev. Econ. Stud. 32(2), 137–150 (1965)

Yong, J.: Time-inconsistent optimal control problems and the equilibrium HJB equation. Math. Control Relat. Fields 2(3), 271–329 (2012)

Zou, Z., Chen, S., Wedge, L.: Finite horizon consumption and portfolio decisions with stochastic hyperbolic discounting. J. Math. Econ. 52, 70–80 (2014)