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This paper studies a stochastic robotic surveillance problem where a mobile robot moves randomly on a graph to capture a potential intruder that strategically attacks a location on the graph. The intruder is assumed to be omniscient: it…

Optimization and Control · Mathematics 2020-11-17 Xiaoming Duan , Dario Paccagnan , Francesco Bullo

Interdicting a criminal with limited police resources is a challenging task as the criminal changes location over time. The size of the large transportation network further adds to the difficulty of this scenario. To tackle this issue, we…

Artificial Intelligence · Computer Science 2026-04-08 Sukanya Samanta , Kei Kimura , Makoto Yokoo , Palash Dey

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

This paper studies a stochastic game theoretic approach to security and intrusion detection in communication and computer networks. Specifically, an Attacker and a Defender take part in a two-player game over a network of nodes whose…

Cryptography and Security · Computer Science 2010-03-15 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

This paper considers the problem of security allocation in a networked control system under stealthy attacks. The system is comprised of interconnected subsystems represented by vertices. A malicious adversary selects a single vertex on…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Anh Tung Nguyen , André M. H. Teixeira , Alexander Medvedev

This work studies Stackelberg network interdiction games -- an important class of games in which a defender first allocates (randomized) defense resources to a set of critical nodes on a graph while an adversary chooses its path to attack…

Optimization and Control · Mathematics 2023-01-31 Tien Mai , Avinandan Bose , Arunesh Sinha , Thanh H. Nguyen

A group of cooperative aerial robots can be deployed to efficiently patrol a terrain, in which each robot flies around an assigned area and shares information with the neighbors periodically in order to protect or supervise it. To ensure…

The Stackelberg security game is played between a defender and an attacker, where the defender needs to allocate a limited amount of resources to multiple targets in order to minimize the loss due to adversarial attack by the attacker.…

Computer Science and Game Theory · Computer Science 2022-04-27 Rufan Bai , Haoxing Lin , Xinyu Yang , Xiaowei Wu , Minming Li , Weijia Jia

We study a continuous-time stochastic Stackelberg game in which a leader seeks to accomplish a primary objective while inferring a hidden parameter of a rational follower. The follower solves an entropy-regularized tracking problem and…

Optimization and Control · Mathematics 2025-10-08 Ruimeng Hu , Daniel Ralston , Xu Yang , Haosheng Zhou

We introduce a novel framework for computing optimal randomized security policies in networked domains which extends previous approaches in several ways. First, we extend previous linear programming techniques for Stackelberg security games…

Computer Science and Game Theory · Computer Science 2012-10-19 Joshua Letchford , Yevgeniy Vorobeychik

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

In high-risk environments where unlawful surveillance is prevalent, securing confidential communications is critical. This study introduces a novel steganographic game-theoretic model to analyze the strategic interactions between a…

Computer Science and Game Theory · Computer Science 2025-01-06 Obinna Omego , Farzana Rahman , Onalo Samuel , Jean-Christophe Nebel

The problem of adversarial multi-robot patrol has gained interest in recent years, mainly due to its immediate relevance to various security applications. In this problem, robots are required to repeatedly visit a target area in a way that…

Multiagent Systems · Computer Science 2014-01-17 Noa Agmon , Gal A. Kaminka , Sarit Kraus

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

Computer Science and Game Theory · Computer Science 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer

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

Security games model the confrontation between a defender protecting a set of targets and an attacker who tries to capture them. A variant of these games assumes security interdependence between targets, facilitating contagion of an attack.…

Social and Information Networks · Computer Science 2019-12-17 Marcin Waniek , Tomasz P. Michalak , Aamena Alshamsi

Stackelberg security game models and associated computational tools have seen deployment in a number of high-consequence security settings, such as LAX canine patrols and Federal Air Marshal Service. These models focus on isolated systems…

Computer Science and Game Theory · Computer Science 2015-05-29 Jian Lou , Andrew M. Smith , Yevgeniy Vorobeychik

Most models of Stackelberg security games assume that the attacker only knows the defender's mixed strategy, but is not able to observe (even partially) the instantiated pure strategy. Such partial observation of the deployed pure strategy…

Computer Science and Game Theory · Computer Science 2015-05-05 Haifeng Xu , Albert X. Jiang , Arunesh Sinha , Zinovi Rabinovich , Shaddin Dughmi , Milind Tambe

We develop an analytical Stackelberg game framework for optimal resource allocation in a sequential attacker--defender setting with a finite set of assets and probabilistic attacks. The defender commits to a mixed protection strategy, after…

Computer Science and Game Theory · Computer Science 2025-12-22 Azhar Iqbal , James M. Chappell , Derek Abbott

Anticipating the strategies of potential attackers is crucial for protecting critical infrastructure. We can represent the challenge of the defenders of such infrastructure as a Stackelberg security game. The defender must decide how to…

Computer Science and Game Theory · Computer Science 2024-05-16 Pamela Bustamante-Faúndez , Víctor Bucarey L. , Martine Labbé , Vladimir Marianov , Fernando Ordóñez
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