Portfolio selection problems with Markowitz's mean–variance framework: a review of literature

Y Zhang, X Li, S Guo - Fuzzy Optimization and Decision Making, 2018 - Springer
Since the pioneering work of Harry Markowitz, mean–variance portfolio selection model has
been widely used in both theoretical and empirical studies, which maximizes the investment …

Dynamic asset-liability management problem in a continuous-time model with delay

A Chunxiang, Y Shen, Y Zeng - International Journal of Control, 2022 - Taylor & Francis
This paper investigates a dynamic continuous-time asset-liability management (ALM)
problem with delay under the mean-variance criterion. The investor allocates her wealth in a …

Markowitz's mean–variance asset–liability management with regime switching: A time-consistent approach

J Wei, KC Wong, SCP Yam, SP Yung - Insurance: Mathematics and …, 2013 - Elsevier
In this article, we provide the first study in the time consistent solution of the mean–variance
asset–liability management (MVALM). The framework is even considered under a …

[HTML][HTML] On time-inconsistent stopping problems and mixed strategy stopping times

S Christensen, K Lindensjö - Stochastic Processes and their Applications, 2020 - Elsevier
A game-theoretic framework for time-inconsistent stopping problems where the time-
inconsistency is due to the consideration of a non-linear function of an expected reward is …

Equilibrium investment strategy for defined-contribution pension schemes with generalized mean–variance criterion and mortality risk

H Wu, Y Zeng - Insurance: Mathematics and Economics, 2015 - Elsevier
This paper studies a generalized multi-period mean–variance portfolio selection problem
within the game theoretic framework for a defined-contribution pension scheme member …

Optimal dividend strategies with time-inconsistent preferences

S Chen, Z Li, Y Zeng - Journal of Economic Dynamics and Control, 2014 - Elsevier
This paper studies the optimal dividend strategies of an insurance company when the
manager has time-inconsistent preferences. We consider the problem for a naive manager …

Time-consistent mean–variance portfolio optimization: A numerical impulse control approach

PM Van Staden, DM Dang, PA Forsyth - Insurance: Mathematics and …, 2018 - Elsevier
We investigate the time-consistent mean–variance (MV) portfolio optimization problem,
popular in investment–reinsurance and investment-only applications, under a realistic …

Linear-quadratic-Gaussian mixed mean-field games with heterogeneous input constraints

Y Hu, J Huang, T Nie - SIAM Journal on Control and Optimization, 2018 - SIAM
We consider a class of linear-quadratic-Gaussian mean-field games having a major agent
and numerous heterogeneous minor agents in the presence of mean-field interactions. The …

Who are I: Time inconsistency and intrapersonal conflict and reconciliation

XD He, XY Zhou - … Analysis, Filtering, and Stochastic Optimization: A …, 2022 - Springer
Time inconsistency is prevalent in dynamic choice problems: a plan of actions to be taken in
the future that is optimal for an agent today may not be optimal for the same agent in the …

Dynamic mean–variance problem with frictions

A Bensoussan, G Ma, CC Siu, SCP Yam - Finance and Stochastics, 2022 - Springer
We study a dynamic mean–variance portfolio selection problem with return predictability and
trading frictions from price impact. Applying mean-field type control theory, we provide a …