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6 papers

math.OC2026

Equilibrium for regular-singular control under mean-variance criterion: A unified approach via control laws

Zongxia Liang, Xiaodong Luo, Jiayu Zhang

The paper investigates mixed regular‑singular control problems under a mean‑variance objective, introducing a time‑consistent equilibrium concept and providing verification results…

math.OC2026

Equilibrium singular dividend control under ambiguity aggregation of heterogeneous discount rates

Yue Cao, Guohui Guan, Zongxia Liang +1

This paper studies a singular dividend control problem for a firm with heterogeneous shareholders whose discount rates follow a given distribution. The central planner aggregates e…

math.OC2026

Time-Inconsistent Singular Control Problems with a Running Minimum Process

Rui Dai, Guohui Guan, Zongxia Liang +1

This paper develops a time-inconsistent and path-dependent singular control framework incorporating a running minimum process. We derive a verification theorem that characterizes e…

cs.DS2026

Finding the Balance Rate of Uncertain Signed Graphs

Zeyu Wang, Kudria Sergei, Jingbang Chen +4

Signed graphs are widely used to analyze complex systems such as social, political, and biological networks. The notion of balance, a key concept of signed graphs, reflects the sta…

math.OC2026

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

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…