activity
20132026
most citedMean-Field Linear-Quadratic Stochastic Differential Games in an Infinite Horizon

5 citations · 19 across the 28 of their papers we have counts for

collaborators

28 papers

math.OC2026

Stochastic Optimal Control Problem under Inside Information

Yuxin Ye, Jingtao Shi

This paper is concerned with a stochastic optimal control problem under inside information. The control process depends on an -measurable random variable , re…

math.OC2023

A Risk-Sensitive Global Maximum Principle for Controlled Fully Coupled FBSDEs with Applications

Jingtao Lin, Jingtao Shi

This paper is concerned with a kind of risk-sensitive optimal control problem for fully coupled forward-backward stochastic systems. The control variable enters the diffusion term…

math.OC2023

Closed-Loop Solvability of Linear Quadratic Mean-Field Type Stackelberg Stochastic Differential Games

Zixuan Li, Jingtao Shi

This paper is devoted to a Stackelberg stochastic differential game for a linear mean-field type stochastic differential system with a mean-field type quadratic cost functional in…

math.OC2023★ 1 cited

A general maximum principle for optimal control of stochastic differential delay systems

Weijun Meng, Jingtao Shi, Tianxiao Wang +1

In this paper, we solve an open problem and obtain a general maximum principle for a stochastic optimal control problem where the control domain is an arbitrary non-empty set and a…

math.OC2022

Mixed Leadership Stochastic Differential Game in Feedback Information Pattern with Applications

Qi Huang, Jingtao Shi

This paper is devoted to a high-dimensional mixed leadership stochastic differential game on a finite horizon in feedback information mode, where the control variables enter into t…

math.OC2022

A Three-level Stochastic Linear-quadratic Stackelberg Differential Game with Asymmetric Information

Kaixin Kang, Jingtao Shi

This paper is concerned with a three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information, in which three players participate credited as Pla…

math.OC2022

Closed-Loop Solvability of Stochastic Linear-Quadratic Optimal Control Problems with Poisson Jumps

Zixuan Li, Jingtao Shi

This paper is concerned with the stochastic linear-quadratic optimal control problem with Poisson jumps. The coefficients in the state equation and the weighting matrices in the co…

math.OC2022★ 1 cited

The Maximum Principle for Discounted Optimal Control of Partially Observed Forward-Backward Stochastic Systems with Jumps on Infinite Horizon

Yueyang Zheng, Jingtao Shi

This paper is concerned with a discounted optimal control problem of partially observed forward-backward stochastic systems with jumps on infinite horizon. The control domain is co…

math.OC2021

The Global Maximum Principle for Progressive Optimal Control of Partially Observed Forward-Backward Stochastic Systems with Random Jumps

Yueyang Zheng, Jingtao Shi

IIn this paper, we study a partially observed progressive optimal control problem of forward-backward stochastic differential equations with random jumps, where the control domain…

math.OC2021

Linear Quadratic Leader-follower Stochastic Differential Games: Closed-Loop Solvability

Zixuan Li, Jingtao Shi

In this paper, a leader-follower stochastic differential game is studied for a linear stochastic differential equation with a quadratic cost functional. The coefficients in the sta…

math.OC2020★ 1 cited

Linear Quadratic Stackelberg Stochastic Differential Games: Closed-Loop Solvability

Zixuan Li, Jingtao Shi

This paper is concerned with the closed-loop solvability of one kind of linear-quadratic Stackelberg stochastic differential game, where the coefficients are deterministic. The not…

math.OC2020★ 1 cited

A Linear Quadratic Stochastic Stackelberg Differential Game with Time Delay

Weijun Meng, Jingtao Shi

This paper is concerned with a linear quadratic stochastic Stackelberg differential game with time delay. The model is general, in which the state delay and the control delay both…

math.OC2020

A Linear Quadratic Partially Observed Stackelberg Stochastic Differential Game with Applications

Yueyang Zheng, Jingtao Shi

This paper is concerned with a linear-quadratic partially observed Stackelberg stochastic differential game with correlated state and observation noises, where the diffusion coeffi…

math.OC2020

Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations

Weijun Meng, Jingtao Shi

This paper is concerned with a linear quadratic optimal control problem of delayed backward stochastic differential equations. An explicit representation is derived for the optimal…

math.OC2020★ 1 cited

Stackelberg Stochastic Differential Game with Asymmetric Noisy Observations

Yueyang Zheng, Jingtao Shi

This paper is concerned with a Stackelberg stochastic differential game with asymmetric noisy observation, with one follower and one leader. In our model, the follower cannot obser…

math.OC2020★ 5 cited

Mean-Field Linear-Quadratic Stochastic Differential Games in an Infinite Horizon

Xun Li, Jingtao Shi, Jiongmin Yong

This paper is concerned with two-person mean-field linear-quadratic non-zero sum stochastic differential games in an infinite horizon. Both open-loop and closed-loop Nash equilibri…

math.OC2020

A Linear-Quadratic Stackelberg Differential Game with Mixed Deterministic and Stochastic Controls

Jingtao Shi, Guangchen Wang

This paper is concerned with a linear-quadratic (LQ) leader-follower differential game with mixed deterministic and stochastic controls. In the game, the follower is a random contr…

math.OC2019

Stochastic Recursive Optimal Control Problem with Mixed Delay under Viscosity Solution's Framework

Weijun Meng, Jingtao Shi

This paper is concerned with the stochastic recursive optimal control problem with mixed delay. The connection between Pontryagin's maximum principle and Bellman's dynamic programm…

math.OC2019★ 2 cited

A Global Maximum Principle for the Stochastic Optimal Control Problem with Delay

Weijun Meng, Jingtao Shi

In this paper, an open problem is solved, for the stochastic optimal control problem with delay where the control domain is nonconvex and the diffusion term contains both control a…

math.OC2019

A Stackelberg Game of Backward Stochastic Differential Equations with Partial Information

Yueyang Zheng, Jingtao Shi

This paper is concerned with a Stackelberg game of backward stochastic differential equations (BSDEs) with partial information, where the information of the follower is a sub--a…

math.OC2019★ 3 cited

Optimal Reinsurance and Investment Strategies under Mean-Variance Criteria: Partial and Full Information

Shihao Zhu, Jingtao Shi

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in r…

math.OC2019

A Stackelberg Game of Backward Stochastic Differential Equations with Applications

Yueyang Zheng, Jingtao Shi

This paper is concerned with a Stackelberg game of backward stochastic differential equations (BSDEs), where the coefficients of the backward system and the cost functionals are de…

math.OC2019★ 1 cited

An Optimal Investment Problem under Correlated Noises: Risk-Sensitive Stochastic Control Approach

Le Yang, Yueyang Zheng, Jingtao Shi

This paper is concerned with an optimal investment problem under correlated noises in the financial market, and the expected utility functional is hyperbolic absolute risk aversion…

math.OC2018

Stochastic Linear Quadratic Stackelberg Differential Game with Overlapping Information

Jingtao Shi, Guangchen Wang, Jie Xiong

This paper is concerned with the stochastic linear quadratic Stackelberg differential game with overlapping information, where the diffusion terms contain the control and state var…