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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

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 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 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 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 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 investigates leader-follower linear-quadratic stochastic graphon games, which consist of a single leader and a continuum of followers. The state equations of the followers interact through graphon coupling terms, with their…

最优化与控制 · 数学 2026-03-12 Weijia Chen , Jingtao Shi

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 categorized into two types: non-cooperative and cooperative, and the…

最优化与控制 · 数学 2024-12-24 Wenyu Cong , Jingtao Shi , Bingchang Wang

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 article studies linear-quadratic Stackelberg games between two dominating players (or equivalently, leaders) and a large group of followers, each of whom interacts under a mean field game (MFG) framework. Unlike the conventional…

最优化与控制 · 数学 2024-07-02 Dantong Chu , Kenneth Tsz Hin Ng , Sheung Chi Phillip Yam , Harry Zheng

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

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 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

We consider a controlled linear-quadratic (LQ) large-population system with mixture of three types agents: major leader, minor leaders and minor followers. The Stackelberg-Nash-Cournot (SNC) approximate equilibrium is studied by a…

最优化与控制 · 数学 2019-05-28 Kehan Si , James Huang , Zhen Wu

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

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

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

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 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

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
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