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Related papers: The Uniformed Patroller Game

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The game of cops and robber is a pursuit-evasion game played on graphs that has been extensively studied. Traditionally the game is played with one or more cops and only one robber, but in this paper we consider the game played with…

Combinatorics · Mathematics 2025-09-15 Miha Gyergyek , Vesna Iršič Chenoweth

We consider the problem of efficient patrolling strategy adaptation in a changing environment where the topology of Defender's moves and the importance of guarded targets change unpredictably. The Defender must instantly switch to a new…

Multiagent Systems · Computer Science 2022-06-17 Tomáš Brázdil , David Klaška , Antonín Kučera , Vít Musil , Petr Novotný , Vojtěch Řehák

We consider a search and rescue game introduced recently by the first author. An immobile target or targets (for example, injured hikers) are hidden on a graph. The terrain is assumed to dangerous, so that when any given vertex of the graph…

Data Structures and Algorithms · Computer Science 2023-04-10 Thomas Lidbetter , Yifan Xie

This paper provides a new solution approach to a multi-player perimeter defense game, in which the intruders' team tries to enter the territory, and a team of defenders protects the territory by capturing intruders on the perimeter of the…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Shridhar Velhal , Suresh Sundaram , Narasimhan Sundararajan

This paper considers a game in which a single cop and a single robber take turns moving along the edges of a given graph $G$. If there exists a strategy for the cop which enables it to be positioned at the same vertex as the robber…

Data Structures and Algorithms · Computer Science 2019-08-20 Thomas Erlebach , Jakob T. Spooner

In this paper we consider a robot patrolling problem in which events arrive randomly over time at the vertices of a graph. When an event arrives it remains active for a random amount of time. If that time active exceeds a certain threshold,…

Robotics · Computer Science 2014-09-17 Ahmad Bilal Asghar , Stephen L. Smith

We consider a pursuit-evasion game [11] played between two agents, 'Blue' (the pursuer) and 'Red' (the evader), over $T$ time steps. Red aims to attack Blue's territory. Blue's objective is to intercept Red by time $T$ and thereby limit the…

Machine Learning · Computer Science 2020-10-15 Shiva Navabi , Osonde A. Osoba

There has been significant interest in studying security games for modeling the interplay of attacks and defenses on various systems involving critical infrastructure, financial system security, political campaigns, and civil safeguarding.…

Computer Science and Game Theory · Computer Science 2017-01-31 Sinong Wang , Ness Shroff

This paper considers a subspace guarding game in high-dimensional space which consists of a play subspace and a target subspace. Two faster defenders cooperate to protect the target subspace by capturing an attacker which strives to enter…

Systems and Control · Computer Science 2019-11-19 Rui Yan , Zongying Shi , Yisheng Zhong

Given the increase in cybercrime, cybersecurity analysts (i.e. Defenders) are in high demand. Defenders must monitor an organization's network to evaluate threats and potential breaches into the network. Adversary simulation is commonly…

Cryptography and Security · Computer Science 2023-04-04 Baptiste Prebot , Yinuo Du , Cleotilde Gonzalez

Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its target while minimizing the cumulative exposure to a moving…

Optimization and Control · Mathematics 2019-09-09 Elliot Cartee , Lexiao Lai , Qianli Song , Alexander Vladimirsky

Pursuit-evasion games are ubiquitous in nature and in an artificial world. In nature, pursuer(s) and evader(s) are intelligent agents that can learn from experience, and dynamics (i.e., Newtonian or Lagrangian) is vital for the pursuer and…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Hao Xiong , Huanhui Cao , Lin Zhang , Wenjie Lu

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

Biological Physics · Physics 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

The deduction game is a variation of the game of cops and robber on graphs in which searchers must capture an invisible evader in at most one move. Searchers know each others' initial locations, but can only communicate if they are on the…

Combinatorics · Mathematics 2024-12-24 Andrea Burgess , Danny Dyer , Mozhgan Farahani

We consider a perimeter defense problem in a planar conical environment comprising a single turret that has a finite range and non-zero service time. The turret seeks to defend a concentric perimeter against $N\geq 2$ intruders. Upon…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Shivam Bajaj , Shaunak D. Bopardikar , Alexander Von Moll , Eric Torng , David W. Casbeer

Can deception exist in differential games? We provide a case study for a Turret-Attacker differential game, where two Attackers seek to score points by reaching a target region while a Turret tries to minimize the score by aligning itself…

Computer Science and Game Theory · Computer Science 2024-05-14 Daigo Shishika , Alexander Von Moll , Dipankar Maity , Michael Dorothy

Advanced persistent threats (APTs) are stealthy attacks which make use of social engineering and deception to give adversaries insider access to networked systems. Against APTs, active defense technologies aim to create and exploit…

Cryptography and Security · Computer Science 2019-01-24 Jeffrey Pawlick , Thi Thu Hang Nguyen , Edward Colbert , Quanyan Zhu

With the increasing sophistication of attacks on cyber-physical systems, deception has emerged as an effective tool to improve system security and safety by obfuscating the attacker's perception. In this paper, we present a solution to the…

Computer Science and Game Theory · Computer Science 2020-07-16 Abhishek N. Kulkarni , Huan Luo , Nandi O. Leslie , Charles A. Kamhoua , Jie Fu

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

Machine Learning · Computer Science 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

An ever-important issue is protecting infrastructure and other valuable targets from a range of threats from vandalism to theft to piracy to terrorism. The "defender" can rarely afford the needed resources for a 100% protection. Thus, the…

Computer Science and Game Theory · Computer Science 2017-06-20 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Aleksandrs Slivkins
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