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20242026
most citedDirect Approach of Linear-Quadratic Stackelberg Mean Field Games of Backward-Forward Stochastic Systems

1 citations · 2 across the 19 of their papers we have counts for

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19 papers

math.OC2026

General Leader-Follower Linear-Quadratic Stochastic Graphon Games with Indefinite Control Weights

Weijia Chen, Jingtao Shi

This paper studies general leader-follower linear-quadratic stochastic graphon games with indefinite control weights. The model consists of one leader and a continuum of followers,…

math.OC2026

An -Potential Game Approach to -Player Stochastic Linear-Quadratic Differential Games

Chenhui Hao, Jingtao Shi

This paper studies -player stochastic linear-quadratic (LQ) differential games from the perspective of -potential games. We first consider a closed-loop LQ game with multipli…

math.OC2026

Stochastic Linear-Quadratic Optimal Control Problems with Markovian Regime Switching and Constraint under Partial Information

Na Xiang, Jingtao Shi

This paper is concerned with a stochastic linear-quadratic optimal control problem of Markovian regime switching system with model uncertainty and partial information, where the in…

math.OC2026

Leader-Follower Linear-Quadratic Stochastic Graphon Games

Weijia Chen, Jingtao Shi

This paper investigates leader-follower linear-quadratic stochastic graphon games, which consist of a single leader and a continuum of followers. The state equations of the followe…

math.OC2025

Linear-Quadratic Mean Field Games with Common Noise: A Direct Approach

Wenyu Cong, Jingtao Shi, Bingchang Wang

This paper investigates a linear-quadratic mean field games problem with common noise, where the drift term and diffusion term of individual state equations are coupled with both t…

math.OC2025

Robust Incentive Stackelberg Mean Field Stochastic Linear-Quadratic Differential Game with Model Uncertainty

Na Xiang, Jingtao Shi

This paper investigates a robust incentive Stackelberg stochastic differential game problem for a linear-quadratic mean field system, where the model uncertainty appears in the dri…

math.OC2025

General Linear-Quadratic Mean Field Stochastic Differential Game with Common Noise: A Direct Method

Yu Si, Jingtao Shi

This paper investigates a class of general linear-quadratic mean field games with common noise, where the diffusion terms of the system contain the state variables, control variabl…

math.OC2025

Linear-Quadratic Partially Observed Mean Field Stackelberg Stochastic Differential Game with Applications

Yu Si, Yueyang Zheng, Jingtao Shi

This paper is concerned with a linear-quadratic partially observed mean field Stackelberg stochastic differential game, which contains a leader and a large number of followers. Spe…

math.OC2025

A Stochastic Linear-Quadratic Leader-Follower Differential Game with Elephant Memory

Xinpo Li, Jingtao Shi

This paper is concerned with a stochastic linear-quadratic leader-follower differential game with elephant memory. The model is general in that the state equation for both the lead…

math.OC2025

Decentralized Strategies for Backward Linear-Quadratic Mean Field Games and Teams

Yu Si, Jingtao Shi

This paper studies a new class of linear-quadratic mean field games and teams problem, where the large-population system satisfies a class of weakly coupled linear backward sto…

math.OC2024★ 1 cited

Linear-Quadratic Stackelberg Mean Field Games and Teams with Arbitrary Population Sizes

Wenyu Cong, Jingtao Shi, Bingchang Wang

This paper addresses a linear-quadratic Stackelberg mean field (MF) games and teams problem with arbitrary population sizes, where the game among the followers is further categoriz…

math.OC2024

Three-Level Multi-Leader-Follower Incentive Stackelberg Differential Game with Constraint

Na Xiang, Jingtao Shi

This paper is concerned with a three-level multi-leader-follower incentive Stackelberg game with constraint. Based on control theory, we firstly obtain th…

math.OC2024

A linear-quadratic partially observed Stackelberg stochastic differential game with multiple followers and its application to multi-agent formation control

Yichun Li, Yaozhong Hu, Jingtao Shi +1

In this paper, we study a linear-quadratic partially observed Stackelberg stochastic differential game problem in which a single leader and multiple followers are involved. We cons…

math.OC2024

Backward Linear-Quadratic Mean Field Stochastic Differential Games: A Direct Method

Yu Si, Jingtao Shi

This paper studies a linear-quadratic mean-field game of stochastic large-population system, where the large-population system satisfies a class of weakly coupled linear backwa…

math.OC2024

Stochastic Linear-Quadratic Stackelberg Differential Game with Asymmetric Informational Uncertainties: Robust Optimization Approach

Na Xiang, Jingtao Shi

This paper is concerned with a two-person zero-sum indefinite stochastic linear-quadratic Stackelberg differential game with asymmetric informational uncertainties, where both the…

math.OC2024

Linear-Quadratic Mean Field Stackelberg Stochastic Differential Game with Partial Information and Common Noise

Yu Si, Jingtao Shi

This paper is concerned with a linear-quadratic mean field Stackelberg stochastic differential game with partial information and common noise, which contains a leader and a large n…

math.OC2024

Direct Approach of Indefinite Linear-Quadratic Mean Field Games

Wenyu Cong, Jingtao Shi

This paper is concerned with an indefinite linear-quadratic mean field games of stochastic large-population system, where the individual diffusion coefficients can depend on both t…

math.OC2024

An overlapping information linear-quadratic Stackelberg stochastic differential game with two leaders and two followers

Yu Si, Jingtao Shi

This paper is concerned with an overlapping information linear-quadratic (LQ) Stackelberg stochastic differential game with two leaders and two followers, where the diffusion terms…

math.OC2024★ 1 cited

Direct Approach of Linear-Quadratic Stackelberg Mean Field Games of Backward-Forward Stochastic Systems

Wenyu Cong, Jingtao Shi

This paper is concerned with a linear-quadratic (LQ) Stackelberg mean field games of backward-forward stochastic systems, involving a backward leader and a substantial number of fo…