10 papers
Equilibrium Singular Dividend Control with Regime Switching and Bankruptcy under Non-Exponential Discounting
Xiaochen Chen, Guohui Guan, Zongxia Liang +1
This paper studies an infinite-horizon equilibrium dividend problem for a firm whose surplus follows a diffusion with observable Markov regime switching and is absorbed at bankrupt…
Equilibria for Time-inconsistent Regular-singular Control Problems
Yuting Jia, Zongxia Liang, Xiaodong Luo
This paper studies a time-inconsistent mixed regular-singular control problem in continuous time with non-exponential discount. We seek time-consistent equilibria in an intraperson…
Equilibrium for regular-singular control under mean-variance criterion: A unified approach via control laws
Zongxia Liang, Xiaodong Luo, Jiayu Zhang
This paper studies a class of mixed regular-singular control problems under mean-variance criteria, where the drift and diffusion are allowed to depend on both the regular control…
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…
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…
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…
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…
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…
Stackelberg reinsurance and premium decisions with MV criterion and irreversibility
Zongxia Liang, Xiaodong Luo
We study a reinsurance Stackelberg game in which both the insurer and the reinsurer adopt the mean-variance (abbr. MV) criterion in their decision-making and the reinsurance is irr…
Equilibria for Time-inconsistent Singular Control Problems
Zongxia Liang, Xiaodong Luo, Fengyi Yuan
We study a time-inconsistent singular control problem originating from irreversible reinsurance decisions with non-exponential discount. A novel definition of equilibrium for time-…