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From the 1 of 6 linked papers with an AI index.

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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

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…

q-fin.RM2026

Optimal Reinsurance under Endogenous Default and Background Risk

Zongxia Liang, Zhaojie Ren, Bin Zou

This paper studies an optimal reinsurance problem for a utility-maximizing insurer, subject to the reinsurer's endogenous default and background risk. An endogenous default occurs…

q-fin.MF2026

Optimal Underreporting and Competitive Equilibrium

Zongxia Liang, Jiayu Zhang, Zhou Zhou +1

This paper develops a dynamic insurance market model comprising two competing insurance companies and a continuum of insureds, and examines the interaction between strategic underr…

math.OC2026

Mean-Field Games Under Model Uncertainty

Zongxia Liang, Zhou Zhou, Yaqi Zhuang +1

We study discrete-time, finite-state mean-field games (MFGs) under model uncertainty, where agents face ambiguity about the state transition probabilities. Each agent maximizes its…

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…