Learning Merton's Strategies in an Incomplete Market: Recursive Entropy Regularization and Biased Gaussian Exploration

M Dai, Y Dong, Y Jia, XY Zhou - arXiv preprint arXiv:2312.11797, 2023 - arxiv.org
We study Merton's expected utility maximization problem in an incomplete market,
characterized by a factor process in addition to the stock price process, where all the model …

Learning to optimally stop diffusion processes, with financial applications

M Dai, Y Sun, ZQ Xu, XY Zhou - arXiv preprint arXiv:2408.09242, 2024 - arxiv.org
We study optimal stopping for diffusion processes with unknown model primitives within the
continuous-time reinforcement learning (RL) framework developed by Wang et al.(2020) …

[HTML][HTML] Optimal dynamic fixed-mix portfolios based on reinforcement learning with second order stochastic dominance

G Consigli, AA Gomez, JP Zubelli - Engineering Applications of Artificial …, 2024 - Elsevier
We propose a reinforcement learning (RL) approach to address a multiperiod optimization
problem in which a portfolio manager seeks an optimal constant proportion portfolio strategy …

Exploratory mean-variance portfolio selection with Choquet regularizers

J Guo, X Han, H Wang - arXiv preprint arXiv:2307.03026, 2023 - arxiv.org
In this paper, we study a continuous-time exploratory mean-variance (EMV) problem under
the framework of reinforcement learning (RL), and the Choquet regularizers are used to …

Continuous-time Risk-sensitive Reinforcement Learning via Quadratic Variation Penalty

Y Jia - arXiv preprint arXiv:2404.12598, 2024 - arxiv.org
This paper studies continuous-time risk-sensitive reinforcement learning (RL) under the
entropy-regularized, exploratory diffusion process formulation with the exponential-form …

Learning to Optimally Stop a Diffusion Process

M Dai, Y Sun, ZQ Xu, XY Zhou - Available at SSRN, 2024 - papers.ssrn.com
We study optimal stopping for a diffusion process with unknown model primitives within the
continuous-time reinforcement learning (RL) framework developed by Wang et al.(2020). By …

Several Mathematical Problems in Investment Management

R Jiang - 2023 - uwspace.uwaterloo.ca
This thesis studies four mathematical problems in investment management. All four
problems arise from practical challenges and are data-driven. Chapter 2 investigates the …

[PDF][PDF] A non-zero-sum game with reinforcement learning under mean-variance framework

J Guoa, X Hana, H Wang, KC Yuenc - researchgate.net
In this paper, we investigate a competitive market involving two agents who consider not
only their own wealth but also the wealth gap with their opponent. Both agents can invest in …