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相关论文: A Three-level Stochastic Linear-quadratic Stackelb…

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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 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

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 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 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 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 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 studies a Stackelberg game wherein a sender (leader) attempts to shape the information of a less informed receiver (follower) who in turn takes an action that determines the payoff for both players. The sender chooses signals to…

计算机科学与博弈论 · 计算机科学 2022-10-07 Reema Deori , Ankur A. Kulkarni

In this paper, the known deterministic linear-quadratic Stackelberg game is revisited, whose open-loop Stackelberg solution actually possesses the nature of time inconsistency. To handle this time inconsistency, {a two-tier game framework…

最优化与控制 · 数学 2022-03-09 Yuan-Hua Ni , Liping Liu , Xinzhen Zhang

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

Information asymmetry in games enables players with the information advantage to manipulate others' beliefs by strategically revealing information to other players. This work considers a double-sided information asymmetry in a Bayesian…

计算机科学与博弈论 · 计算机科学 2023-08-29 Tao Li , Quanyan Zhu

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

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

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 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

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

计算机科学与博弈论 · 计算机科学 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

We investigate the linear quadratic Gaussian Stackelberg game under a class of nested observation information pattern. Two decision makers implement control strategies relying on different information sets: The follower uses its observation…

最优化与控制 · 数学 2022-06-07 Zhipeng Li , Damian Marelli , Minyue Fu , Huanshui Zhang

The multilevel reverse Stackelberg game is considered. In this game, the leader controls the outcome by announcing a strategy as a function of decision variables of the followers to his/her own decision space. Corresponding to the leader's…

最优化与控制 · 数学 2023-03-01 Seyfe Belete Worku , Birilew Belayneh Tsegaw , Semu Mitiku Kassa

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
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