|
[1]
|
Hume, D. (1978) A Treatise of Human Nature. Oxford University Press, New York. [Google Scholar] [CrossRef]
|
|
[2]
|
Smith, A. (1979) The Theory of Moral Sentiments. Ox-ford University Press, New York. [Google Scholar] [CrossRef]
|
|
[3]
|
Strotz, R. (1955) Myopia and Inconsistency in Dynamic Utility Maximization. The Review of Economic Studies, 23, 165-180. [Google Scholar] [CrossRef]
|
|
[4]
|
Ekeland, I. and Lazrak, A. (2010) The Golden Rule When Preferences Are Time Inconsistent. Mathematics and Financial Economics, 4, 29-55. [Google Scholar] [CrossRef]
|
|
[5]
|
Ekeland, I. and Pirvu, T.A. (2008) Investment and Con-sumption without Commitment. Mathematics and Financial Economics, 2, 57-86. [Google Scholar] [CrossRef]
|
|
[6]
|
Basak, S. and Chabakauri, G. (2010) Dynamic Mean-Variance Asset Allocation. Review of Financial Studies, 23, 2970-3016. [Google Scholar] [CrossRef]
|
|
[7]
|
Björk, T. and Murgoci, A. (2010) A General Theory of Markovian Time Inconsistent Stochastic Control Problem. Social Science Research Network (SSRN). http://ssrn.com/abstract=1694759
|
|
[8]
|
Björk, T., Khapko, M. and Murgoci, A. (2017) On Time-Inconsistent Sto-chastic Control in Continuous Time. Finance and Stochastics, 21, 331-360. [Google Scholar] [CrossRef]
|
|
[9]
|
Björk, T., Khapko, M. and Murgoci, A. (2016) Time Incon-sistent Stochastic Control in Continuous Time: Theory and Examples. Working Paper. http://arxiv.org/abs/1612.03650
|
|
[10]
|
Yong, J. (2014) Time-Inconsistent Optimal Control Problems. Proceedings of the International Congress of Mathematicians, Seoul, 13-21 August 2014, 947-969.
|
|
[11]
|
Huang, Y. and Zhou, Z. (2021) Strong and Weak Equilibrium for Time-Inconsistent Stochastic Control in Continuous Time. Mathematics of Operations Research, 46, 428-451. [Google Scholar] [CrossRef]
|
|
[12]
|
He, X.D. and Jiang, Z.L. (2021) On the Equilibrium Strategies for Time-Inconsistent Problems in Continuous Time. SIAM Journal on Control and Optimization, 59, 3860-3886. [Google Scholar] [CrossRef]
|
|
[13]
|
Yong, J. (2011) A Deterministic Linear Quadratic Time-Inconsistent Optimal Control Problem. Mathematical Control & Related Fields, 1, 83-118. [Google Scholar] [CrossRef]
|
|
[14]
|
Yong, J. (2012) Deterministic Time-Inconsistent Optimal Control Problems—An Essentially Cooperative Approach. Acta Mathematicae Applicatae Sinica, English Series, 28, 1-30. [Google Scholar] [CrossRef]
|
|
[15]
|
Yong, J. (2012) Time-Inconsistent Optimal Control Problems and the Equilibrium HJB Equation. Mathematical Control & Related Fields, 2, 271-329. [Google Scholar] [CrossRef]
|
|
[16]
|
Wei, Q., Yong, J. and Yu, Z. (2017) Time-Inconsistent Recursive Stochastic Optimal Control Problems. SIAM Journal on Control and Optimization, 55, 4156-4201. [Google Scholar] [CrossRef]
|
|
[17]
|
Yong, J. (2017) Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations—Time-Consistent Solutions. Transactions of the American Mathe-matical Society, 369, 5467-5523. [Google Scholar] [CrossRef]
|
|
[18]
|
Dou, F.F. and Lü, Q. (2020) Time-Inconsistent Linear Quadratic Op-timal Control Problems for Stochastic Evolution Equations. SIAM Journal on Control and Optimization, 58, 485-509. [Google Scholar] [CrossRef]
|
|
[19]
|
Hu, Y., Jin, H. and Zhou, X.Y. (2012) Time-Inconsistent Stochastic Linear-Quadratic Control. SIAM Journal on Control and Optimization, 50, 1548-1572. [Google Scholar] [CrossRef]
|
|
[20]
|
Hu, Y., Jin, H. and Zhou, X.Y. (2017) Time-Inconsistent Stochastic Linear-Quadratic Control: Characterization and Uniqueness of Equilibrium. SIAM Journal on Control and Opti-mization, 55, 1261-1279. [Google Scholar] [CrossRef]
|
|
[21]
|
Cai, H.Y., Chen, D.H., Peng, Y. and Wei, W. (2022) On the Time-Inconsistent Deterministic Linear-Quadratic Control. SIAM Journal on Control and Optimization, 60, 968-991. [Google Scholar] [CrossRef]
|
|
[22]
|
Ni, Y., Li, X., Zhang, J. and Krstic, M. (2019) Mixed Equilibrium Solution of Time-Inconsistent Stochastic Linear-Quadratic Problem. SIAM Journal on Control and Optimization, 57, 533-569. [Google Scholar] [CrossRef]
|