activity
20192026
most citedOptimal Equilibria for Multi-dimensional Time-inconsistent Stopping Problems

18 citations · 24 across the 14 of their papers we have counts for

collaborators

16 papers

math.OC2026

Kyle meets time-inconsistency: a dynamic mean--variance informed trading problem

Shuoqing Deng, Zhichao Luo, Zhenhua Wang

We study a Kyle--Back model in which the informed trader has dynamic mean--variance preferences, leading to a time-inconsistent trading problem that is formulated as an intraperson…

math.OC2026

Existence of Relaxed Equilibrium for Time-Inconsistent Mean Field Games: A Set-Valued Fixed Point Approach

Zhenhua Wang, Zhou Zhou

This paper studies the existence of relaxed equilibria for finite-horizon continuous-time time-inconsistent mean field games. We work directly on the product space of relaxed feedb…

math.OC2026

Time-Inconsistent MDPs with Entropy Regularization: Equilibrium Existence and Policy Iteration

Fengyuan Cao, Zhenhua Wang

We study infinite-horizon time-inconsistent Markov decision processes with a countably infinite state space and unbounded reward functions. The reward is allowed to depend explicit…

math.OC2026

Equilibrium for Time-inconsistent Mean Field Games: A Systematic Analysis by Entropy Regularization

Erhan Bayraktar, Zhenhua Wang, Xiang Yu +1

This paper studies the existence and approximation of equilibria for general time-inconsistent mean field game (MFG) problems in continuous time. To handle the intricate nonlocal e…

math.OC2026

Equilibrium under Time-Inconsistency: A New Existence Theory by Vanishing Entropy Regularization

Zhenhua Wang, Xiang Yu, Jingjie Zhang +1

This paper develops a framework for establishing the existence of solutions to the equilibrium Hamilton-Jacobi-Bellman (EHJB) equation arising in time-inconsistent stochastic contr…

math.PR2025

Moderate Deviation Principle for Join-The-Shortest-Queue-d Systems

Zhenhua Wang, Ruoyu Wu

The Join-the-Shortest-Queue-d routing policy is considered for a large system with servers. Moderate deviation principles (MDP) for the occupancy process and the empirical queu…

math.OC2024★ 1 cited

Policy Iteration for Exploratory Hamilton--Jacobi--Bellman Equations

Hung Vinh Tran, Zhenhua Wang, Yuming Paul Zhang

We study the policy iteration algorithm (PIA) for entropy-regularized stochastic control problems on an infinite time horizon with a large discount rate, focusing on two main scena…

math.OC2024

Binomial-tree approximation for time-inconsistent stopping

Erhan Bayraktar, Zhenhua Wang, Zhou Zhou

For time-inconsistent stopping in a one-dimensional diffusion setup, we investigate how to use discrete-time models to approximate the original problem. In particular, we consider…

math.OC2023

On Time-Inconsistency in Mean Field Games

Erhan Bayraktar, Zhenhua Wang

We investigate an infinite-horizon time-inconsistent mean-field game (MFG) in a discrete time setting. We first present a classic equilibrium for the MFG and its associated existen…

math.OC2023

Relaxed Equilibria for Time-Inconsistent Markov Decision Processes

Erhan Bayraktar, Yu-Jui Huang, Zhenhua Wang +1

This paper considers an infinite-horizon Markov decision process (MDP) that allows for general non-exponential discount functions, in both discrete and continuous time. Due to the…

math.OC2022★ 5 cited

Convergence of Policy Iteration for Entropy-Regularized Stochastic Control Problems

Yu-Jui Huang, Zhenhua Wang, Zhou Zhou

For a general entropy-regularized stochastic control problem on an infinite horizon, we prove that a policy iteration algorithm (PIA) converges to an optimal relaxed control. Contr…

math.PR2022

Stability of Time-inconsistent Stopping for One-dimensional Diffusion -- A Longer Version

Erhan Bayraktar, Zhenhua Wang, Zhou Zhou

We investigate the stability of the equilibrium-induced optimal value in one-dimensional diffusion setting for a time-inconsistent stopping problem under non-exponential discountin…

math.OC2022

Stability of Equilibria in Time-inconsistent Stopping Problems

Erhan Bayraktar, Zhenhua Wang, Zhou Zhou

We investigate the stability of equilibrium-induced optimal values with respect to (w.r.t.) reward functions and transition kernels for time-inconsistent stopping problems…

math.PR2022

Equilibria of Time-inconsistent Stopping for One-dimensional Diffusion Processes

Erhan Bayraktar, Zhenhua Wang, Zhou Zhou

We consider three equilibrium concepts proposed in the literature for time-inconsistent stopping problems, including mild equilibria, weak equilibria and strong equilibria. The dis…

q-fin.MF2020★ 18 cited

Optimal Equilibria for Multi-dimensional Time-inconsistent Stopping Problems

Yu-Jui Huang, Zhenhua Wang

We study an optimal stopping problem under non-exponential discounting, where the state process is a multi-dimensional continuous strong Markov process. The discount function is ta…

math.PR2019

The coin-turning walk and its scaling limit

Janos Englander, Stanislav Volkov, Zhenhua Wang

Let be the random walk obtained from "coin turning" with some sequence , as introduced in [6]. In this paper we investigate the scaling limits of in the s…