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The problem Defensive $\delta$-Covering, for some covering range $\delta > 0$, is a continuous facility location problem on undirected graphs where all edges have unit length. It is a generalization of Defensive Dominating Set and…

Computational Complexity · Computer Science 2026-05-12 Christoph Grüne , Tom Janßen

Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance rate small. While empathy and spatiality may lead to the…

Physics and Society · Physics 2012-08-20 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

In many combinatorial games, one can prove that the first player wins under best play using a simple but non-constructive argument called strategy-stealing. This work is about the complexity behind these proofs: how hard is it to actually…

Data Structures and Algorithms · Computer Science 2019-11-19 Greg Bodwin , Ofer Grossman

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 domination game is played on a graph $G$ by two players, Dominator and Staller, who alternate in selecting vertices until each vertex in the graph $G$ is contained in the closed neighbourhood of the set of selected vertices. Dominator's…

Combinatorics · Mathematics 2023-02-08 Julien Portier , Leo Versteegen

This paper studies a language-based opacity enforcement in a two-player, zero-sum game on a graph. In this game, player 1 (P1) wins if it can achieve a secret temporal goal described by the language of a finite automaton, no matter what…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Chongyang Shi , Abhishek N. Kulkarni , Hazhar Rahmani , Jie Fu

In an Avoider-Enforcer game, we are given a hypergraph. Avoider and Enforcer alternate in claiming an unclaimed vertex, until all the vertices of the hypergraph are claimed. Enforcer wins if Avoider claims all vertices of an edge; Avoider…

Computational Complexity · Computer Science 2022-11-21 Tillmann Miltzow , Miloš Stojaković

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

The current paper studies a protective mission to defend a domain called the safe zone from a rogue drone invasion. We consider a one attacker and one defender drone scenario where only a noisy observation of the attacker at every time step…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Minjun Sung , Christophe Johannes Hiltebrandt-McIntosh , Hunmin Kim , Naira Hovakimyan

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

Advanced Persistent Threats (APTs) have recently emerged as a significant security challenge for a cyber-physical system due to their stealthy, dynamic and adaptive nature. Proactive dynamic defenses provide a strategic and holistic…

Computer Science and Game Theory · Computer Science 2019-11-11 Linan Huang , Quanyan Zhu

In some athletic races, such as cycling and types of speed skating races, athletes have to complete a relatively long distance at a high speed in the presence of direct opponents. To win such a race, athletes are motivated to hide behind…

Other Statistics · Statistics 2020-08-14 Genki Ichinose , Daiki Miyagawa , Junji Ito , Naoki Masuda

Stackelberg security games are a critical tool for maximizing the utility of limited defense resources to protect important targets from an intelligent adversary. Motivated by green security, where the defender may only observe an…

Computer Science and Game Theory · Computer Science 2020-06-24 Andrew Perrault , Bryan Wilder , Eric Ewing , Aditya Mate , Bistra Dilkina , Milind Tambe

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 two-player game on a graph between an attacker and a defender. To begin with, the defender places guards on a subset of vertices. In each move, the attacker attacks an edge. The defender must move at least one guard across the…

Discrete Mathematics · Computer Science 2023-08-10 Neeldhara Misra , Saraswati Girish Nanoti

We study security games in which a defender commits to a mixed strategy for protecting a finite set of targets of different values. An attacker, knowing the defender's strategy, chooses which target to attack and for how long. If the…

Computer Science and Game Theory · Computer Science 2018-04-24 David Kempe , Leonard J. Schulman , Omer Tamuz

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

We address target interception in contested environments in the presence of multiple defenders whose interception capability is limited by finite ranges. Conventional methods typically impose conservative stand-off constraints based on…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to…

Optimization and Control · Mathematics 2014-10-10 Mehdi Salimi , Gafurjan Ibragimov , Stefan Siegmund , Somayeh Sharifi

In this paper, we consider a new network security game wherein an attacker and a defender are battling over "multiple" targets. This type of game is appropriate to model many current network security conflicts such as Internet phishing,…

Computer Science and Game Theory · Computer Science 2022-02-22 Yuedong Xu , John C. S. Lui
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