7 papers
Mean Field Competition of Optimal Switching: The Vanishing Entropy Regularization Approach
Zongxia Liang, Shu Wang, Xiang Yu
This paper studies a type of rank-based mean field game in which competing agents strategically switch among multiple effort regimes. We propose an entropy regularized auxiliary pr…
Mean-field game of mean-variance portfolio optimization with peer-based risk aversion
Weilun Cheng, Zongxia Liang, Sheng Wang +1
This paper investigates a class of mean-field game (MFG) for mean-variance (MV) portfolio optimization, highlighting a new type of relative performance encoded by the peer-based ri…
Equilibrium Investment with Random Risk Aversion: (Non-)uniqueness, Optimality, and Comparative Statics
Weilun Cheng, Zongxia Liang, Sheng Wang +1
This paper studies a continuous-time portfolio selection problem under a general distribution of random risk aversion (RRA). We provide a complete characterization of all determini…
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…
On time-inconsistent extended mean-field control problems with common noise
Zongxia Liang, Xiang Yu, Keyu Zhang
This paper studies a class of time-inconsistent mean field control (MFC) problems in the presence of common noise under non-exponential discount and joint law dependence of both st…
An Integral Equation in Portfolio Selection with Time-Inconsistent Preferences
Zongxia Liang, Sheng Wang, Jianming Xia
This paper discusses a nonlinear integral equation arising from portfolio selection with a class of time-inconsistent preferences. We propose a unified framework requiring minimal…