9 papers
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…
Robust Utility Maximization with Intractable Claims under Distributional Ambiguity: A Random Distributionally Robust Optimization Approach
Guohui Guan, Zongxia Liang, Xingjian Ma
This paper studies a robust utility maximization problem for intractable claims under distributional ambiguity, where the distribution of the claim cannot be inferred from market i…
N-player and mean field games among fund managers considering excess logarithmic returns
Guohui Guan, Jiaqi Hu, Zongxia Liang
This paper studies the competition among multiple fund managers with relative performance over the excess logarithmic return. Fund managers compete with each other and have expecte…
Consumption-portfolio choice with preferences for liquid assets
Guohui Guan, Jiaqi Hu, Zongxia Liang
This paper investigates an infinite horizon, discounted, consumption-portfolio problem in a market with one bond, one liquid risky asset, and one illiquid risky asset with proporti…
Robust mean-variance stochastic differential reinsurance and investment games under volatility risk and model uncertainty
Guohui Guan, Zongxia Liang, Yi Xia
This paper investigates robust stochastic differential games among insurers under model uncertainty and stochastic volatility. The surplus processes of ambiguity-averse insurers (A…