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相关论文: A linear-quadratic partially observed Stackelberg …

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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

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

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

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 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 allowed to stop her strategy at a random time. Our overarching…

最优化与控制 · 数学 2021-06-08 Zhun Gou , Nan-jing Huang , Ming-hui Wang

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 Stackelberg stochastic differential game with asymmetric noisy observation, with one follower and one leader. In our model, the follower cannot observe the state process directly, but could observe a noisy…

最优化与控制 · 数学 2020-07-14 Yueyang Zheng , Jingtao Shi

In this paper, a partially observed stochastic linear Stackelberg differential game with mean-variance criteria is studied. Randomness comes from Brownian motions and Poisson random measures. which leads to a circular dependency. We follow…

最优化与控制 · 数学 2026-01-27 Jingtao Lin , 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 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

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

This paper is concerned with a leader-follower stochastic differential game with asymmetric information, where the information available to the follower is based on some sub-$\sigma$-algebra of that available to the leader. Such kind of…

最优化与控制 · 数学 2015-09-15 Jingtao Shi , Guangchen Wang , Jie Xiong

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 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 addresses a Stackelberg stochastic linear-quadratic (LQ) differential game under closed-loop information, a problem inherently time-inconsistent. Existing approaches rely on solving two coupled Hamilton-Jacobi-Bellman (HJB)…

最优化与控制 · 数学 2026-04-27 Qi Lü , Bowen Ma , Hanxiao Wang

Guided cooperation allows intelligent agents with heterogeneous capabilities to work together by following a leader-follower type of interaction. However, the associated control problem becomes challenging when the leader agent does not…

系统与控制 · 电气工程与系统科学 2024-02-01 Yuhan Zhao , Quanyan Zhu

This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

最优化与控制 · 数学 2024-08-20 Min Li , Na Li , Zhen Wu

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-$\sigma$-algebra of that of the leader. Necessary and sufficient…

最优化与控制 · 数学 2019-10-24 Yueyang Zheng , Jingtao Shi

This paper investigates the non-zero-sum linear-quadratic stochastic Stackelberg differential games with affine constraints, which depend on both the follower's response and the leader's strategy. With the help of the stochastic Riccati…

最优化与控制 · 数学 2024-12-30 Zhun Gou , Nan-Jing Huang , Xian-Jun Long , Jian-Hao Kang

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

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
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