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We study a patrolling game played on a network $Q$, considered as a metric space. The Attacker chooses a point of $Q$ (not necessarily a node) to attack during a chosen time interval of fixed duration. The Patroller chooses a unit speed…

Discrete Mathematics · Computer Science 2022-09-16 Steve Alpern , Thuy Bui , Thomas Lidbetter , Katerina Papadaki

A defender dispatches patrollers to circumambulate a perimeter to guard against potential attacks. The defender decides on the time points to dispatch patrollers and each patroller's direction and speed, as long as the long-run rate…

Optimization and Control · Mathematics 2020-11-10 Kyle Y Lin

When securing complex infrastructures or large environments, constant surveillance of every area is not affordable. To cope with this issue, a common countermeasure is the usage of cheap but wide-ranged sensors, able to detect suspicious…

Artificial Intelligence · Computer Science 2015-06-10 Nicola Basilico , Giuseppe De Nittis , Nicola Gatti

Patrolling is one of the central problems in operational security. Formally, a patrolling problem is specified by a set $U$ of nodes (admissible defender's positions), a set $T \subseteq U$ of vulnerable targets, an admissible defender's…

Computer Science and Game Theory · Computer Science 2016-08-08 Tomáš Brázdil , Petr Hliněný , Antonín Kučera , Vojtěch Řehák , Matúš Abaffy

Using mobile robots for autonomous patrolling of environments to prevent intrusions is a topic of increasing practical relevance. One of the most challenging scientific issues is the problem of finding effective patrolling strategies that,…

Computer Science and Game Theory · Computer Science 2009-12-18 Nicola Basilico , Nicola Gatti , Francesco Amigoni

We introduce and study the problem of planning a trajectory for an agent to carry out a scouting mission while avoiding being detected by an adversarial guard. This introduces an adversarial version of classical visibility-based planning…

Robotics · Computer Science 2019-02-26 Zhongshun Zhang , Yoonchang Sung , Lifeng Zhou , Jonathon M. Smereka , Joseph Lee , Pratap Tokekar

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 the recently introduced network patrolling game, an Attacker carries out an attack on a node of her choice, for a given number m of consecutive periods. The parameter m indicates the difficulty of the attack at a given node. To thwart…

Optimization and Control · Mathematics 2019-08-15 Steve Alpern , Stamatios Katsikas

This article studies a problem of strategic network inspection, in which a defender (agency) is tasked with detecting the presence of multiple attacks in the network. An inspection strategy entails monitoring the network components,…

Computer Science and Game Theory · Computer Science 2022-05-30 Mathieu Dahan , Lina Sela , Saurabh Amin

We study a security game over a network played between a $defender$ and $k$ $attackers$. Every attacker chooses, probabilistically, a node of the network to damage. The defender chooses, probabilistically as well, a connected induced…

Computer Science and Game Theory · Computer Science 2019-06-10 Eleni C. Akrida , Argyrios Deligkas , Themistoklis Melissourgos , Paul G. Spirakis

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…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Yohan John , Gilberto Diaz-Garcia , Xiaoming Duan , Jason R. Marden , Francesco Bullo

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

This paper proposes a game-theoretic method to address the problem of optimal detector placement in a networked control system under cyber-attacks. The networked control system is composed of interconnected agents where each agent is…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira , Alexander Medvedev

We study the two-player safe game of Competitive Diffusion, a game-theoretic model for the diffusion of technologies or influence through a social network. In game theory, safe strategies are mixed strategies with a minimal expected gain…

Discrete Mathematics · Computer Science 2015-07-10 Jeannette Janssen , Celeste Vautour

We focus on adversarial patrolling games on arbitrary graphs, where the Defender can control a mobile resource, the targets are alarmed by an alarm system, and the Attacker can observe the actions of the mobile resource of the Defender and…

Artificial Intelligence · Computer Science 2018-06-20 Giuseppe De Nittis , Nicola Gatti

We propose an algorithm for constructing efficient patrolling strategies in the Internet environment, where the protected targets are nodes connected to the network and the patrollers are software agents capable of detecting/preventing…

Artificial Intelligence · Computer Science 2018-05-11 Tomáš Brázdil , Antonín Kučera , Vojtěch Řehák

We study the m-eternal domination problem from the perspective of the attacker. For many graph classes, the minimum required number of guards to defend eternally is known. By definition, if the defender has less than the required number of…

Discrete Mathematics · Computer Science 2022-04-07 Václav Blažej , Jan Matyáš Křišťan , Tomáš Valla

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

Robotics · Computer Science 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

We explored the Patrol Security Game (PSG), a robotic patrolling problem modeled as an extensive-form Stackelberg game, where the attacker determines the timing, location, and duration of their attack. Our objective is to devise a…

Artificial Intelligence · Computer Science 2024-10-22 Hao-Tsung Yang , Ting-Kai Weng , Ting-Yu Chang , Kin Sum Liu , Shan Lin , Jie Gao , Shih-Yu Tsai

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

Data Structures and Algorithms · Computer Science 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou
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