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5 papers · 2 filters

math.OC2025

Reinforcement learning for irreversible reinsurance problems: the randomized singular control approach

Zongxia Liang, Xiaodong Luo, Xiang Yu

This paper studies the continuous-time reinforcement learning for stochastic singular control with the application to an infinite-horizon irreversible reinsurance problem. The sing…

math.OC2025

Mean-Field Game of Relative Performance Portfolio for Two Populations with Poisson Common Noise

Yuchen Li, Zongxia Liang, Xiang Yu

This paper studies the mean field game (MFG) and N-player game on relative performance portfolio management with two heterogeneous populations. In addition to the Brownian idiosync…

math.OC2025

Mean Field Game with Reflected Jump Diffusion Dynamics: A Linear Programming Approach

Zongxia Liang, Xiang Yu, Keyu Zhang

This paper develops a linear programming approach for mean field games with reflected jump-diffusion dynamics. We first prove the equivalence between the mean field equilibria in t…

math.OC2025

A Reinforcement Learning Framework for Some Singular Stochastic Control Problems

Zongxia Liang, Xiaodong Luo, Xiang Yu

We develop a continuous-time reinforcement learning framework for a class of singular stochastic control problems without entropy regularization. The optimal singular control is ch…

math.OC2025

Major-Minor Mean Field Game of Stopping: An Entropy Regularization Approach

Xiang Yu, Jiacheng Zhang, Keyu Zhang +1

This paper studies a discrete-time major-minor mean field game of stopping where the major player can choose either an optimal control or stopping time. We look for the relaxed equ…