Recent developments in machine learning methods for stochastic control and games

R Hu, M Lauriere - arxiv preprint arxiv:2303.10257, 2023 - arxiv.org
Stochastic optimal control and games have a wide range of applications, from finance and
economics to social sciences, robotics, and energy management. Many real-world …

Mean-field multiagent reinforcement learning: A decentralized network approach

H Gu, X Guo, X Wei, R Xu - Mathematics of Operations …, 2024 - pubsonline.informs.org
One of the challenges for multiagent reinforcement learning (MARL) is designing efficient
learning algorithms for a large system in which each agent has only limited or partial …

Time-Consistent Investment and Reinsurance Strategies for Mean–Variance Insurers in N-Agent and Mean-Field Games

G Guan, X Hu - North American Actuarial Journal, 2022 - Taylor & Francis
In this study, we investigate the competition among insurers under the mean–variance
criterion. The optimization problems are formulated for finite and infinite insurers. The …

Mean field portfolio games

G Fu, C Zhou - Finance and Stochastics, 2023 - Springer
We study mean field portfolio games with random parameters, where each player is
concerned with not only her own wealth, but also relative performance to her competitors …

Optimal investment in a large population of competitive and heterogeneous agents

L Tangpi, X Zhou - Finance and Stochastics, 2024 - Springer
This paper studies a stochastic utility maximisation game under relative performance
concerns in finite-and infinite-agent settings, where a continuum of agents interact through a …

A Deep Learning Method for Optimal Investment Under Relative Performance Criteria Among Heterogeneous Agents

M Laurière, L Tangpi, X Zhou - arxiv preprint arxiv:2402.07365, 2024 - arxiv.org
Graphon games have been introduced to study games with many players who interact
through a weighted graph of interaction. By passing to the limit, a game with a continuum of …

A mean field game approach to optimal investment and risk control for competitive insurers

L Bo, S Wang, C Zhou - Insurance: Mathematics and Economics, 2024 - Elsevier
We consider an insurance market consisting of multiple competitive insurers with a mean
field interaction via their terminal wealth under the exponential utility with relative …

Many-insurer robust games of reinsurance and investment under model uncertainty in incomplete markets

G Guan, Z Liang, Y **a - arxiv preprint arxiv:2412.09157, 2024 - arxiv.org
This paper studies the robust reinsurance and investment games for competitive insurers.
Model uncertainty is characterized by a class of equivalent probability measures. Each …

Time-Inconsistent Mean Field and -Agent Games under Relative Performance Criteria

Z Liang, K Zhang - SIAM Journal on Financial Mathematics, 2024 - SIAM
In this paper we study a time-inconsistent portfolio optimization problem for competitive
agents with CARA utilities and nonexponential discounting. The utility of each agent …

A mean field game approach to relative investment–consumption games with habit formation

Z Liang, K Zhang - Mathematics and Financial Economics, 2024 - Springer
This paper studies an optimal investment–consumption problem for competitive agents with
exponential or power utilities and a common finite time horizon. Each agent regards the …