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This paper considers the blocking or football pursuit-evasion differential game. Two pursuers cooperate and try to capture the ball carrying evader as far as possible from the goal line. The evader wishes to be as close as possible to the…

Optimization and Control · Mathematics 2020-06-09 Eloy Garcia , David W. Casbeer , Meir Pachter

Patrolling Games were introduced by Alpern, Morton and Papadaki (2011) to model the adversarial problem where a mobile Patroller can thwart an attack at some location only by visiting it during the attack period, which has a prescribed…

Cryptography and Security · Computer Science 2020-12-08 Steve Alpern , Paul Chleboun , Stamatios Katsikas

Modern cyber attacks unfold through multiple stages, requiring defenders to dynamically prioritize mitigations under uncertainty. While game-theoretic models capture attacker-defender interactions, existing approaches often rely on static…

Cryptography and Security · Computer Science 2025-08-04 Yuning Jiang , Nay Oo , Qiaoran Meng , Lu Lin , Dusit Niyato , Zehui Xiong , Hoon Wei Lim , Biplab Sikdar

This paper studies the idea of ``deception by motion'' through a two-player dynamic game played between a Mover who must retrieve resources at a goal location, and an Eater who can consume resources at two candidate goals. The Mover seeks…

Systems and Control · Electrical Eng. & Systems 2023-06-07 Violetta Rostobaya , Yue Guan , James Berneburg , Michael Dorothy , Daigo Shishika

We study a simple motion differential game of many pursuers and one evader in the plane. We give a nonempty closed convex set in the plane, and the pursuers and evader move on this set. They cannot leave this set during the game. Control…

Optimization and Control · Mathematics 2015-05-04 Idham Arif Alias , Gafurjan Ibragimov , Massimiliano Ferrara , Mehdi Salimi , Mansor Monsi

In a distributed system with {\it attacks} and {\it defenses,} both {\it attackers} and {\it defenders} are self-interested entities. We assume a {\it reward-sharing} scheme among {\it interdependent} defenders; each defender wishes to…

Computer Science and Game Theory · Computer Science 2008-12-23 Marios Mavronicolas , Burkhard Monien , Vicky Papadopoulou

The existing network attack and defense method can be regarded as game, but most of the game only involves network domain, not multiple domain cyberspace. To address this challenge, this paper proposed a multiple domain cyberspace attack…

Artificial Intelligence · Computer Science 2022-05-24 Lei Zhang , Yu Pan , Yi Liu , Qibin Zheng , Zhisong Pan

In the classic version of the game of firefighter, on the first turn a fire breaks out on a vertex in a graph $G$ and then $k$ firefighters protect $k$ vertices. On each subsequent turn, the fire spreads to the collective unburnt…

Combinatorics · Mathematics 2024-08-01 Andrea Burgess , John Marcoux , David Pike

Recent advances in robotics have enabled the widespread deployment of autonomous robotic systems in complex operational environments, presenting both unprecedented opportunities and significant security problems. Traditional shepherding…

Robotics · Computer Science 2025-09-11 Wenqing Wang , Ye Zhang , Haoyu Li , Jingyu Wang

We introduce and study coverage games - a novel framework for multi-agent planning in settings in which a system operates several agents but does not have full control on them, or interacts with an environment that consists of several…

Computer Science and Game Theory · Computer Science 2026-03-24 Orna Kupferman , Noam Shenwald

In active visual tracking, it is notoriously difficult when distracting objects appear, as distractors often mislead the tracker by occluding the target or bringing a confusing appearance. To address this issue, we propose a mixed…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Fangwei Zhong , Peng Sun , Wenhan Luo , Tingyun Yan , Yizhou Wang

Consider a two-person zero-sum search game between a hider and a searcher. The hider hides among $n$ discrete locations, and the searcher successively visits individual locations until finding the hider. Known to both players, a search at…

Optimization and Control · Mathematics 2023-05-18 Jake Clarkson , Kyle Y Lin

This paper presents an adversary detection mechanism and a resilient control framework for multi-agent systems under spatiotemporal constraints. Safety in multi-agent systems is typically addressed under the assumption that all agents…

Systems and Control · Electrical Eng. & Systems 2022-07-22 Aquib Mustafa , Dimitra Panagou

We study a wireless jamming problem consisting of the competition between a legitimate receiver and a jammer, as a zero-sum game where the value to maximize/minimize is the channel capacity at the receiver's side. Most of the approaches…

Computer Science and Game Theory · Computer Science 2026-05-19 Giovanni Perin , Leonardo Badia

We consider a path guarding problem in dynamic Defender-Attacker Blotto games (dDAB), where a team of robots must defend a path in a graph against adversarial agents. Multi-robot systems are particularly well suited to this application, as…

Computer Science and Game Theory · Computer Science 2023-05-29 Austin K. Chen , Bryce L. Ferguson , Daigo Shishika , Michael Dorothy , Jason R. Marden , George J. Pappas , Vijay Kumar

In the cybersecurity setting, defenders are often at the mercy of their detection technologies and subject to the information and experiences that individual analysts have. In order to give defenders an advantage, it is important to…

Cryptography and Security · Computer Science 2022-12-09 Erick Galinkin , Emmanouil Pountourakis , John Carter , Spiros Mancoridis

This work derives two basic engagement zone models, describing regions of potential risk or capture for a mobile vehicle by a pursuer. The pursuer is modeled as having turn-constraints rather than simple motion. Turn-only (C-Paths) and…

Optimization and Control · Mathematics 2025-02-04 Thomas Chapman , Isaac E. Weintraub , Alexander Von Moll , Eloy Garcia

This paper investigates a problem of defending safety-critical infrastructure from an adversarial aerial attacker in an urban environment. A circular arc formation of defenders is formed around the attacker, and vector-field based guidance…

Systems and Control · Computer Science 2019-03-18 Vishnu S Chipade , Dimitra Panagou

We study a multi-body asset-guarding game in missile defense where teams of interceptor missiles collaborate to defend a non-manuevering asset against a group of threat missiles. We approach the problem in two steps. We first formulate an…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Emmanuel Sin , Murat Arcak , Andrew Packard , Douglas Philbrick , Peter Seiler

Several moving target defenses (MTDs) to counter adversarial ML attacks have been proposed in recent years. MTDs claim to increase the difficulty for the attacker in conducting attacks by regularly changing certain elements of the defense,…

Machine Learning · Computer Science 2023-02-22 Aqib Rashid , Jose Such