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In a pursuit-evasion game, a team of pursuers attempt to capture an evader. The players alternate turns, move with equal speed, and have full information about the state of the game. We consider the most restictive capture condition: a…

Metric Geometry · Mathematics 2015-05-05 Andrew Beveridge , Yiqing Cai

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 work considers designing an unmanned target hunting system for a swarm of unmanned underwater vehicles (UUVs) to hunt a target with high maneuverability. Differential game theory is used to analyze combat policies of UUVs and the…

Systems and Control · Electrical Eng. & Systems 2022-02-02 Wei Wei , JingJing Wang , Jun Du , Zhengru Fang , Chunxiao Jiang , Yong Ren

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

Game theoretic approaches have gained traction as robust methodologies for designing distributed local algorithms that induce a desired overall system configuration in multi-agent settings. However, much of the emphasis in these approaches…

Systems and Control · Electrical Eng. & Systems 2021-11-03 Rohit Konda , Rahul Chandan , David Grimsman , Jason R. Marden

We consider a surveillance-evasion game in an environment with obstacles. In such an environment, a mobile pursuer seeks to maintain the visibility with a mobile evader, who tries to get occluded from the pursuer in the shortest time…

Analysis of PDEs · Mathematics 2023-08-28 Carlos Esteve-Yagüe , Richard Tsai

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

We consider the problem of prediction by a machine learning algorithm, called learner, within an adversarial learning setting. The learner's task is to correctly predict the class of data passed to it as a query. However, along with queries…

Machine Learning · Computer Science 2020-02-11 Prithviraj Dasgupta , Joseph B. Collins , Michael McCarrick

Security challenges accompany the efficiency. The pervasive integration of information and communications technologies (ICTs) makes cyber-physical systems vulnerable to targeted attacks that are deceptive, persistent, adaptive and…

Computer Science and Game Theory · Computer Science 2018-09-11 Linan Huang , Quanyan Zhu

We investigate zero-sum turn-based two-player stochastic games in which the objective of one player is to maximize the amount of rewards obtained during a play, while the other aims at minimizing it. We focus on games in which the minimizer…

Logic in Computer Science · Computer Science 2022-05-20 Pablo F. Castro , Pedro R. D'Argenio , Luciano Putruele , Ramiro Demasi

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

Large scale cloud networks consist of distributed networking and computing elements that process critical information and thus security is a key requirement for any environment. Unfortunately, assessing the security state of such networks…

Cryptography and Security · Computer Science 2018-11-05 Ankur Chowdhary , Sailik Sengupta , Adel Alshamrani , Dijiang Huang , Abdulhakim Sabur

We describe a multi-agent perimeter defense game played on a cylinder. A team of n slow-moving defenders must prevent a single fast-moving attacker from crossing the boundary of a defensive perimeter. We describe the conditions necessary…

Multiagent Systems · Computer Science 2026-02-13 Michael Otte , Roderich Groß

We study a class of zero-sum games between a singular-controller and a stopper over finite-time horizon. The underlying process is a multi-dimensional (locally non-degenerate) controlled stochastic differential equation (SDE) evolving in an…

Optimization and Control · Mathematics 2023-10-31 Andrea Bovo , Tiziano De Angelis , Elena Issoglio

We consider a variant of the hide-and-seek game in which a seeker inspects multiple hiding locations to find multiple items hidden by a hider. Each hiding location has a maximum hiding capacity and a probability of detecting its hidden…

Computer Science and Game Theory · Computer Science 2024-06-26 Bastián Bahamondes , Mathieu Dahan

Stealthy attacks are a major cyber-security threat. In practice, both attackers and defenders have resource constraints that could limit their capabilities. Hence, to develop robust defense strategies, a promising approach is to utilize…

Computer Science and Game Theory · Computer Science 2019-10-22 Ming Zhang , Zizhan Zheng , Ness B. Shroff

Is there a classifier that ensures optimal robustness against all adversarial attacks? This paper answers this question by adopting a game-theoretic point of view. We show that adversarial attacks and defenses form an infinite zero-sum game…

Machine Learning · Computer Science 2021-01-07 Rafael Pinot , Raphael Ettedgui , Geovani Rizk , Yann Chevaleyre , Jamal Atif

Considering uncertainties and disturbances is an important, yet challenging, step in successful decision making. The problem becomes more challenging in safety-constrained environments. In this paper, we propose a robust and safe trajectory…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

The Transformer, a highly expressive architecture for sequence modeling, has recently been adapted to solve sequential decision-making, most notably through the Decision Transformer (DT), which learns policies by conditioning on desired…

Machine Learning · Computer Science 2025-10-15 Xiaohang Tang , Zhuowen Cheng , Satyabrat Kumar

In response to the rapidly evolving nature of adversarial attacks against visual classifiers, numerous defenses have been proposed to generalize against as many known attacks as possible. However, designing a defense method that generalizes…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Qian Wang , Hefei Ling , Yingwei Li , Qihao Liu , Ruoxi Jia , Ning Yu
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