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In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

最优化与控制 · 数学 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

The Prisoner's Dilemma, zero-sum games, LQR team problems, and differential games have shaped game theory in controls for decades, but the field's most pressing adversarial challenges demand a richer framework, and its name is Colonel…

计算机科学与博弈论 · 计算机科学 2026-05-27 Keith Paarporn , Jason R. Marden

The active target defense differential game is addressed in this paper. In this differential game an Attacker missile pursues a Target aircraft. The aircraft is however aided by a Defender missile launched by, say, the wingman, to intercept…

最优化与控制 · 数学 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

In the `Covering' pursuit game on a graph, a robber and a set of cops play alternately, with the cops each moving to an adjacent vertex (or not moving) and the robber moving to a vertex at distance at most 2 from his current vertex. The aim…

组合数学 · 数学 2025-04-22 Benjamin Gillott

We consider the probabilistic planning problem where the agent (called Player 1, or P1) can jointly plan the control actions and sensor queries in a sensor network and an attacker (called player 2, or P2) can carry out attacks on the…

密码学与安全 · 计算机科学 2021-05-04 Abhishek N. Kulkarni , Shuo Han , Nandi O. Leslie , Charles A. Kamhoua , Jie Fu

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…

计算机科学与博弈论 · 计算机科学 2018-04-24 David Kempe , Leonard J. Schulman , Omer Tamuz

Cops and Robbers is a game played on a graph where a set of cops attempt to capture a single robber. The game proceeds in rounds, where each round first consists of the cops' turn, followed by the robber's turn. In the cops' turn, every cop…

离散数学 · 计算机科学 2025-07-03 Prosenjit Bose , Pat Morin , Karthik Murali

In a backdoor attack, an adversary inserts maliciously constructed backdoor examples into a training set to make the resulting model vulnerable to manipulation. Defending against such attacks typically involves viewing these inserted…

密码学与安全 · 计算机科学 2023-07-20 Alaa Khaddaj , Guillaume Leclerc , Aleksandar Makelov , Kristian Georgiev , Hadi Salman , Andrew Ilyas , Aleksander Madry

This paper analyzes the meeting time between a pair of pursuer and evader performing random walks on digraphs. The existing bounds on the meeting time usually work only for certain classes of walks and cannot be used to formulate…

机器人学 · 计算机科学 2019-12-06 Xiaoming Duan , Mishel George , Rushabh Patel , Francesco Bullo

This paper studies the deployment of joint moving target defense (MTD) and deception against multi-stage cyberattacks. Given the system equipped with MTD that randomizes between different configurations, we investigate how to allocate a…

密码学与安全 · 计算机科学 2022-10-17 Lening Li , Haoxiang Ma , Shuo Han , Jie Fu

We study the zero-visibility cops and robbers game, where the robber is invisible to the cops until they are caught. This differs from the classic game where full information about the robber's location is known at any time. A previously…

离散数学 · 计算机科学 2025-09-08 Igor Potapov , Tymofii Prokopenko , John Sylvester

We consider a variation of cop vs.\ robber on graph in which the robber is not restricted by the graph edges; instead, he picks a time-independent probability distribution on $V(G)$ and moves according to this fixed distribution. The cop…

组合数学 · 数学 2013-08-23 Natasha Komarov , Peter Winkler

A model of strategy formulation is used to study how an adaptive attacker learns to overcome a moving target cyber defense. The attacker-defender interaction is modeled as a game in which a defender deploys a temporal platform migration…

密码学与安全 · 计算机科学 2014-08-19 M. L. Winterrose , K. M. Carter , N. Wagner , W. W. Streilein

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

计算机科学与博弈论 · 计算机科学 2018-07-19 Dong Hao , Kai Li , Tao Zhou

As large language models grow increasingly capable, concerns about their safe deployment have intensified. While numerous alignment strategies aim to restrict harmful behavior, these defenses can still be circumvented through carefully…

计算与语言 · 计算机科学 2026-05-05 Xinbo Wu , Huan Zhang , Abhishek Umrawal , Lav R. Varshney

This paper considers a reach-avoid differential game in three-dimensional space with four equal-speed players. A plane divides the game space into a play subspace and a goal subspace. The evader aims at entering the goal subspace while…

最优化与控制 · 数学 2019-04-08 Rui Yan , Zongying Shi , Yisheng Zhong

We study the problem of learning classifiers robust to universal adversarial perturbations. While prior work approaches this problem via robust optimization, adversarial training, or input transformation, we instead phrase it as a…

机器学习 · 计算机科学 2018-09-27 Julien Perolat , Mateusz Malinowski , Bilal Piot , Olivier Pietquin

In the classic game of Cops and Robbers, a team of cops pursues a robber through a graph. The traditional model of Cops and Robbers operates under the assumption that the cops know the robber's location at all times. Recently, however,…

组合数学 · 数学 2025-09-08 John Jones , William B. Kinnersley

In this paper we will be introducing a type of game which as far as this author is aware has never been studied before. These are games where there are two players, one who is trying to get one of his pieces, called a King to a predefined…

组合数学 · 数学 2012-09-07 Fraser Stewart

This study provides a new understanding of the adversarial attack problem by examining the correlation between adversarial attack and visual attention change. In particular, we observed that: (1) images with incomplete attention regions are…

计算机视觉与模式识别 · 计算机科学 2023-01-02 Shangxi Wu , Jitao Sang , Kaiyuan Xu , Jiaming Zhang , Jian Yu