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相关论文: A Linear-quadratic Mean-Field Stochastic Stackelbe…

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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 forward followers. The leader initiates by providing its…

最优化与控制 · 数学 2024-06-28 Wenyu Cong , Jingtao Shi

In this paper, we consider a linear quadratic (LQ) leader-follower stochastic differential game for regime switching diffusions with mean-field interactions. One of the salient features of this paper is that conditional mean-field terms are…

最优化与控制 · 数学 2022-08-02 Siyu Lv , Jie Xiong , Xin Zhang

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. Specifically, the followers confront a large-population Nash…

最优化与控制 · 数学 2025-12-09 Yu Si , Yueyang Zheng , Jingtao Shi

Motivated by a product pricing problem, a linear-quadratic Stackelberg differential game for a regime switching system involving one leader and two followers is studied. The two followers engage in a zero-sum differential game, and both the…

最优化与控制 · 数学 2026-03-31 Pengyan Huang , Na Li , Zuo Quan Xu , Harry Zheng

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 finite horizon. The coefficients in the state equation and…

最优化与控制 · 数学 2023-08-22 Zixuan Li , 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 number of followers. To be specific, the followers face a…

最优化与控制 · 数学 2025-03-25 Yu Si , 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 drift term of the leader's state equation. Moreover, both the…

最优化与控制 · 数学 2026-03-31 Na Xiang , Jingtao Shi

This paper studies a stochastic mean-field linear-quadratic Stackelberg differential game with random coefficients. The interaction between mean-field terms and random coefficients precludes the direct use of conventional decoupling…

最优化与控制 · 数学 2026-05-22 Ying Yang , Jie Xiong , Zhouyu 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 controller which means that the follower can choose adapted…

最优化与控制 · 数学 2025-09-26 Jingtao Shi , Guangchen Wang

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 consider more practical formulation for partial information that…

最优化与控制 · 数学 2026-05-14 Yichun Li , Yaozhong Hu , Jingtao Shi , Yueyang Zheng

In this technical note, we consider the linear-quadratic time-inconsistent mean-field type leader-follower Stackelberg differential game with an adapted open-loop information structure. The objective functionals of the leader and the…

最优化与控制 · 数学 2019-11-12 Jun Moon , Hyun Jong Yang

In this paper, we first address a linear quadratic mean-field game problem with a leader-follower structure. By adopting a Riccati-type approach, we show how one can obtain a state-feedback representation of the pairs of strategies which…

系统与控制 · 电气工程与系统科学 2023-02-21 Samir Aberkane , Vasile Dragan

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 of the state equation contain both the control and state…

最优化与控制 · 数学 2024-01-17 Yu Si , Jingtao Shi

We present a linear--quadratic Stackelberg game with a large number of followers and we also derive the mean field limit of infinitely many followers. The relation between optimization and mean-field limit is studied and conditions for…

最优化与控制 · 数学 2020-11-09 Michael Herty , Sonja Steffensen , Anna Thünen

This paper is concerned with the stochastic linear quadratic Stackelberg differential game with overlapping information, where the diffusion terms contain the control and state variables. Here the term "overlapping" means that there are…

最优化与控制 · 数学 2018-05-01 Jingtao Shi , Guangchen Wang , Jie Xiong

This paper is concerned with a two-person zero-sum indefinite stochastic linear-quadratic Stackelberg differential game with asymmetric informational uncertainties, where both the leader and follower face different and unknown disturbances.…

最优化与控制 · 数学 2024-07-09 Na Xiang , Jingtao Shi

In this paper, we consider a discrete-time Stackelberg mean field game with a finite number of leaders, a finite number of major followers and an infinite number of minor followers. The leaders and the followers each observe types privately…

系统与控制 · 电气工程与系统科学 2022-09-21 Deepanshu Vasal

This paper considers linear-quadratic (LQ) stochastic leader-follower Stackelberg differential games for jump-diffusion systems with random coefficients. We first solve the LQ problem of the follower using the stochastic maximum principle…

最优化与控制 · 数学 2020-10-07 Jun Moon

This paper is concerned with a linear-quadratic partially observed Stackelberg stochastic differential game with correlated state and observation noises, where the diffusion coefficient does not contain the control variable and the control…

最优化与控制 · 数学 2021-05-25 Yueyang Zheng , Jingtao Shi

In this paper, we consider a discrete-time stochastic Stackelberg game with a single leader and multiple followers. Both the followers and the leader together have conditionally independent private types, conditioned on action and previous…

最优化与控制 · 数学 2022-09-21 Deepanshu Vasal
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