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Stackelberg security games are a critical tool for maximizing the utility of limited defense resources to protect important targets from an intelligent adversary. Motivated by green security, where the defender may only observe an…

计算机科学与博弈论 · 计算机科学 2020-06-24 Andrew Perrault , Bryan Wilder , Eric Ewing , Aditya Mate , Bistra Dilkina , Milind Tambe

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

We investigate a co-design problem, encompassing simultaneous design of system infrastructure and control, through a game-theoretical framework. To this end, we propose the co-design problem as a two-layer hierarchical strategic…

系统与控制 · 电气工程与系统科学 2025-08-18 Julian Barreiro-Gomez , Ye Wang

This study presents a numerical analysis framework for pursuit--evasion differential games under the Stackelberg equilibrium. The Semi-DCNLP method is introduced as an optimization solver for flight path optimization problems formulated…

最优化与控制 · 数学 2026-04-21 Kazuhiro Horie

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

计算机科学与博弈论 · 计算机科学 2016-08-05 Karel Horák , Branislav Bošanský

This paper is concerned with a three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information, in which three players participate credited as Player 1, Player 2 and Player 3. Player 3 acts as the leader of…

最优化与控制 · 数学 2022-10-24 Kaixin Kang , Jingtao Shi

We present a resource-planning game for cyber-security of networked control systems (NCS). The NCS is assumed to be operating in closed-loop using a linear state-feedback $\mathcal{H}_2$ controller. A zero-sum, two-player Stackelberg game…

最优化与控制 · 数学 2022-08-26 Pratishtha Shukla , Lu An , Aranya Chakrabortty , Alexandra Duel-Hallen

Two-player mean-payoff Stackelberg games are nonzero-sum infinite duration games played on a bi-weighted graph by Leader (Player 0) and Follower (Player 1). Such games are played sequentially: first, Leader announces her strategy, second,…

最优化与控制 · 数学 2021-08-04 Mrudula Balachander , Shibashis Guha , Jean-François Raskin

Stochastic patrol routing is known to be advantageous in adversarial settings; however, the optimal choice of stochastic routing strategy is dependent on a model of the adversary. We adopt a worst-case omniscient adversary model from the…

系统与控制 · 电气工程与系统科学 2025-04-10 Yohan John , Gilberto Diaz-Garcia , Xiaoming Duan , Jason R. Marden , Francesco Bullo

Stackelberg Security Games (SSGs) have been adopted widely for modeling adversarial interactions. With increasing size of the applications of SSGs, scalability of equilibrium computation is an important research problem. While prior…

计算机科学与博弈论 · 计算机科学 2017-11-15 Arunesh Sinha , Aaron Schlenker , Donnabell Dmello , Milind Tambe

Agents rarely act in isolation -- their behavioral history, in particular, is public to others. We seek a non-asymptotic understanding of how a leader agent should shape this history to its maximal advantage, knowing that follower agent(s)…

计算机科学与博弈论 · 计算机科学 2019-05-29 Vidya Muthukumar , Anant Sahai

A Stackelberg Vertex Cover game is played on an undirected graph $\mathcal{G}$ where some of the vertices are under the control of a \emph{leader}. The remaining vertices are assigned a fixed weight. The game is played in two stages. First,…

计算机科学与博弈论 · 计算机科学 2023-09-25 Katharina Eickhoff , Lennart Kauther , Britta Peis

This paper is concerned with the closed-loop solvability of one kind of linear-quadratic Stackelberg stochastic differential game, where the coefficients are deterministic. The notion of the closed-loop solvability is introduced, which…

最优化与控制 · 数学 2021-01-01 Zixuan Li , Jingtao Shi

We address two-player general-sum stochastic Stackelberg games (SSGs), where the leader's policy is optimized considering the best-response follower whose policy is optimal for its reward under the leader. Existing policy gradient and value…

计算机科学与博弈论 · 计算机科学 2026-03-17 Mikoto Kudo , Youhei Akimoto

The multi-leader--multi-follower game (MLMFG) involves two or more leaders and followers and serves as a generalization of the Stackelberg game and the single-leader--multi-follower game (SLMFG). Although MLMFG covers wide range of…

最优化与控制 · 数学 2024-04-09 Atsushi Hori , Daisuke Tsuyuguchi , Ellen H. Fukuda

This paper considers two investors who perform mean-variance portfolio selection with asymmetric information: one knows the true stock dynamics, while the other has to infer the true dynamics from observed stock evolution. Their portfolio…

数理金融 · 定量金融 2025-09-05 Yu-Jui Huang , Shihao Zhu

In this paper, we are concerned with the stabilizatbility of Stackelberg game-based systems. In particular, two players are involved in the system where one is the follower to minimize the related cost function and the other is the leader…

最优化与控制 · 数学 2021-05-04 Yue Sun , Juanjuan Xu , Huanshui Zhang

This paper studies a three party energy management problem in a user interactive smart community that consists of a large number of residential units (RUs) with distributed energy resources (DERs), a shared facility controller (SFC) and the…

系统与控制 · 计算机科学 2014-02-25 Wayes Tushar , Bo Chai , Chau Yuen , David B. Smith , H. Vincent Poor

This paper focuses on the performance of equalizer zero-determinant (ZD) strategies in discounted repeated Stackerberg asymmetric games. In the leader-follower adversarial scenario, the strong Stackelberg equilibrium (SSE) deriving from the…

计算机科学与博弈论 · 计算机科学 2024-02-28 Zhaoyang Cheng , Guanpu Chen , Yiguang Hong

We study a two-player discounted zero-sum stochastic game model for dynamic operational planning in military campaigns. At each stage, the players manage multiple commanders who order military actions on objectives that have an open line of…

计算机科学与博弈论 · 计算机科学 2024-03-04 Joseph E. McCarthy , Mathieu Dahan , Chelsea C. White