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In this paper, we consider a target defense game in which the attacker team seeks to reach a high-value target while the defender team seeks to prevent that by capturing them away from the target. To address the curse of dimensionality, a…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Goutam Das , Violetta Rostobaya , James Berneburg , Zachary I. Bell , Michael Dorothy , Daigo Shishika

This paper is concerned with the reconnaissance game that involves two mobile agents: the Intruder and the Defender. The Intruder is tasked to reconnoiter a territory of interest (target region) and then return to a safe zone (retreat…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Yoonjae Lee , Efstathios Bakolas

We consider a surveillance-evasion game in an environment with obstacles. In such an environment, a mobile pursuer seeks to maintain the visibility with a mobile evader, who tries to get occluded from the pursuer in the shortest time…

Analysis of PDEs · Mathematics 2023-08-28 Carlos Esteve-Yagüe , Richard Tsai

Moving target defense has emerged as a critical paradigm of protecting a vulnerable system against persistent and stealthy attacks. To protect a system, a defender proactively changes the system configurations to limit the exposure of…

Computer Science and Game Theory · Computer Science 2020-02-25 Henger Li , Wen Shen , Zizhan Zheng

In this work, we investigate a security game between an attacker and a defender, originally proposed in \cite{emadi2019security}. As is well known, the combinatorial nature of security games leads to a large cost matrix. Therefore,…

Computer Science and Game Theory · Computer Science 2020-07-30 HAmid Emadi , Sourabh Bhattacharya

We address a problem of area protection in graph-based scenarios with multiple mobile agents where connectivity is maintained among agents to ensure they can communicate. The problem consists of two adversarial teams of agents that move in…

Multiagent Systems · Computer Science 2017-09-06 Marika Ivanová , Pavel Surynek , Diep Thi Ngoc Nguyen

The paper deals with a zero-sum differential game in which the dynamical system is described by a fractional differential equation with the Caputo derivative of an order $\alpha \in (0, 1).$ The goal of the first (second) player is to…

Optimization and Control · Mathematics 2019-08-06 Mikhail Gomoyunov

This paper proposes a game-theoretic approach to address the problem of optimal sensor placement against an adversary in uncertain networked control systems. The problem is formulated as a zero-sum game with two players, namely a malicious…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

We present two zero-sum games modeling situations where one player attacks (or hides in) a finite dimensional nonempty compact set, and the other tries to prevent the attack (or find him). The first game, called patrolling game, corresponds…

Optimization and Control · Mathematics 2019-07-03 Tristan Garrec

In this paper, we investigate a multi-agent target guarding problem in which a single defender seeks to capture multiple attackers aiming to reach a high-value target area. In contrast to previous studies, the attackers herein are assumed…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Yoonjae Lee , Goutam Das , Daigo Shishika , Efstathios Bakolas

We consider a variant of the target defense problems where a group of defenders are tasked to simultaneously capture an intruder. The intruder's objective is to reach a target without being simultaneously captured by the defender team. Some…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Dipankar Maity , Arman Pourghorban

We study two-player security games which can be viewed as sequences of nonzero-sum matrix games played by an Attacker and a Defender. The evolution of the game is based on a stochastic fictitious play process. Players do not have access to…

Computer Science and Game Theory · Computer Science 2010-03-16 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

This paper proposes a game-theoretic approach to address the problem of optimal sensor placement for detecting cyber-attacks in networked control systems. The problem is formulated as a zero-sum game with two players, namely a malicious…

Optimization and Control · Mathematics 2022-05-30 Anh Tung Nguyen , André M. H. Teixeira , Alexander Medvedev

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

In adversarial patrolling games, a mobile Defender strives to discover intrusions at vulnerable targets initiated by an Attacker. The Attacker's utility is traditionally defined as the probability of completing an attack, possibly weighted…

Multiagent Systems · Computer Science 2022-02-03 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák

We revisit the two-player planar target-defense game initially posed by Isaacs where a pursuer (or defender) attempts to guard a target set from an attack by an evader (or attacker). This paper builds on existing analytical solutions to…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Yoonjae Lee , Efstathios Bakolas

In this paper we consider an infinite horizon zero-sum differential game where the dynamics of each player and the running cost are also depending on the evolution of some discrete (switching) variables. In particular, such switching…

Optimization and Control · Mathematics 2020-03-05 Fabio Bagagiolo , Rosario Maggistro , Marta Zoppello

Motivated by safety-critical classification problems, we investigate adversarial attacks against cost-sensitive classifiers. We use current state-of-the-art adversarially-resistant neural network classifiers [1] as the underlying models.…

Machine Learning · Statistics 2019-10-08 Gavin S. Hartnett , Andrew J. Lohn , Alexander P. Sedlack

A conflict between rational and autonomous agents is considered. The paper addresses a differential game of protecting a target in the 3-D space. This problem highlights the strong correlation between the highly dynamic scenario, the…

Optimization and Control · Mathematics 2022-02-07 Eloy Garcia , Isaac Weintraub , David W. Casbeer , Meir Pachter

A fundamental task in mobile robotics is to keep an agent under surveillance using an autonomous robotic platform equipped with a sensing device. Using differential game theory, we study a particular setup of the previous problem. A…

Robotics · Computer Science 2024-09-16 Rodrigo Saavedra , Ubaldo Ruiz