4 papers
A Linear-quadratic Mean-Field Stochastic Stackelberg Differential Game with Random Exit Time
Zhun Gou, Nan-jing Huang, Ming-hui Wang
In this paper, we investigate a new model of a linear-quadratic mean-field stochastic Stackelberg differential game with one leader and two followers, in which the leader is allowe…
Set-valued Ito's formula with an application to the general set-valued backward stochastic differential equation
Yao-jia Zhang, Zhun Gou, Nan-jing Huang
The overarching goal of this paper is to establish a set-valued Itô's formula. As an application, we obtain the existence and uniqueness of solutions for the general set-valued bac…
A stochastic optimal control problem governed by SPDEs via a spatial-temporal interaction operator
Zhun Gou, Nan-jing Huang, Ming-hui Wang +1
In this paper, we first introduce a new spatial-temporal interaction operator to describe the space-time dependent phenomena. Then we consider the stochastic optimal control of a n…
Strong solutions for jump-type stochastic differential equations with non-Lipschitz coefficients
Zhun Gou, Ming-hui Wang, Nan-jing Huang
In this paper, the existence and pathwise uniqueness of strong solutions for jump-type stochastic differential equations are investigated under non-Lipschitz conditions. A sufficie…