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 …

Two-timescale multilayer recurrent neural networks for nonlinear programming

J Wang, J Wang - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
This article presents a neurodynamic approach to nonlinear programming. Motivated by the
idea of sequential quadratic programming, a class of two-timescale multilayer recurrent …

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 …

Linear–quadratic mean field stochastic zero-sum differential games

J Moon - Automatica, 2020 - Elsevier
In this paper, we consider the two-player linear–quadratic mean field stochastic differential
game (LQ-MF-SZSDG), where the expected values of state and players' control variables …

Mean-field stochastic linear quadratic optimal control problems: closed-loop solvability

X Li, J Sun, J Yong - Probability, Uncertainty and Quantitative Risk, 2016 - Springer
An optimal control problem is studied for a linear mean-field stochastic differential equation
with a quadratic cost functional. The coefficients and the weighting matrices in the cost …

Multi-period portfolio selection with dynamic risk/expected-return level under fuzzy random uncertainty

B Wang, Y Li, J Watada - Information Sciences, 2017 - Elsevier
In this study, we discuss multi-period portfolio selection problems when security returns are
described as fuzzy random variables. The main concern of this work is to apply dynamic risk …

Distributionally robust optimization with Wasserstein metric for multi-period portfolio selection under uncertainty

Z Wu, K Sun - Applied Mathematical Modelling, 2023 - Elsevier
The mean-variance model formulated by Markowitz for a single period serves as a
fundamental method of modern portfolio selection. In this study, we consider a multi-period …

Limited attention allocation in a stochastic linear quadratic system with multiplicative noise

X Cui, J Gao, L Kong, Y Shi - IEEE Transactions on Automatic …, 2024 - ieeexplore.ieee.org
This study addresses limited attention allocation in a stochastic linear quadratic system with
multiplicative noise. Our approach enables strategic resource allocation to enhance noise …

Multi-period asset-liability management with cash flows and probability constraints: A mean-field formulation approach

X Li, X Wu, H Yao - Journal of the Operational Research Society, 2020 - Taylor & Francis
Using a multi-period mean-variance model, we investigate an asset-liability portfolio
management problem with probability constraints, where an investor intends to control the …

Risk‐sensitive maximum principle for stochastic optimal control of mean‐field type Markov regime‐switching jump‐diffusion systems

J Moon - International Journal of Robust and Nonlinear Control, 2021 - Wiley Online Library
We consider the risk‐sensitive optimal control problem for mean‐field type Markov regime‐
switching jump‐diffusion systems driven by Brownian motions and Poisson jumps with …