1 citations · 1 across the 11 of their papers we have counts for
11 papers
Mean-field optimal stopping with endogenous quantile cutoffs
Erhan Bayraktar, Ibrahim Ekren, Xihao He
We study a mean-field optimal stopping problem with an endogenous population-level shutdown. All remaining agents stop when the survival mass falls below a prescribed threshold. We…
Sharp functional quantization and empirical Wasserstein rates for Itô processes
Xihao He, Fengyi Yuan
We establish functional quantization and empirical Wasserstein rates for continuous Itô processes under the supremum norm. We assume that the initial condition and the drift and di…
Quantitative Particle Approximation for Controlled Nonlinear Filtering
Erhan Bayraktar, Ibrahim Ekren, Xihao He +1
We estimate convergence rates of value functions for particle approximations of a controlled nonlinear filtering problem. The state is a McKean--Vlasov diffusion on the flat torus,…
A comparison principle for Wasserstein PDEs with state- and law-dependent common noise
Erhan Bayraktar, Ibrahim Ekren, Xihao He +1
We prove a comparison principle for a class of second-order Hamilton--Jacobi--Bellman equations on the Wasserstein space whose second-order term is generated by a general common-no…
Mean-field games with rough common noise: the compactification approach
Erhan Bayraktar, Xihao He, Xiang Yu +1
We study mean-field game (MFG) problems with rough common noise, in which the representative state dynamics are governed by a controlled rough stochastic differential equation driv…
Comparison of viscosity solutions for a class of non-linear PDEs on the space of finite nonnegative measures
Ibrahim Ekren, Xihao He, Tianxu Lan +1
We establish a comparison principle for viscosity solutions of a class of nonlinear partial differential equations posed on the space of nonnegative finite measures, thereby extend…
Graphon particle systems with common noise
Erhan Bayraktar, Xihao He, Donghan Kim
We study a nonlinear graphon particle system driven by both idiosyncratic and common noise, where interactions are governed by a graphon and represented as positive finite measures…
Comparison for semi-continuous viscosity solutions for second order PDEs on the Wasserstein space
Erhan Bayraktar, Ibrahim Ekren, Xihao He +1
In this paper, we prove a comparison result for semi-continuous viscosity solutions of a class of second-order PDEs in the Wasserstein space. This allows us to remove the Lipschitz…
On the limit theory of mean field optimal stopping with non-Markov dynamics and common noise
Xihao He
This paper focuses on a mean-field optimal stopping problem with non-Markov dynamics and common noise, inspired by Talbi, Touzi, and Zhang \cite{TalbiTouziZhang1,TalbiTouziZhang3}.…
A mean-field version of Bank-El Karoui's representation of stochastic processes
Xihao He, Xiaolu Tan, Jun Zou
We study a mean-field version of Bank-El Karoui's representation theorem of stochastic processes. Under different technical conditions, we establish some existence and uniqueness r…
An exit contract optimization problem
Xihao He, Xiaolu Tan, Jun Zou
We study an exit contract design problem, where one provides a universal exit contract to multiple heterogeneous agents, with which each agent chooses an optimal (exit) stopping ti…