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Adversarial optimal transport has been proven useful as a mathematical formulation to model resource allocation problems to maximize the efficiency of transportation with an adversary, who modifies the data. It is often the case, however,…

计算机科学与博弈论 · 计算机科学 2024-03-05 Yinan Hu , Juntao Chen , Quanyan Zhu

Projection games constitute an important class of nonlocal games where, for any answer from the first player, there is a unique correct answer for the second player. This class of games captures nonlocal games arising from constraint…

量子物理 · 物理学 2026-03-17 Eric Culf

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…

机器学习 · 统计学 2021-03-18 Jake Clarkson , Kyle Y. Lin , Kevin D. Glazebrook

Routing tables in ad hoc and wireless routing protocols can be represented using rooted trees. The constant need for communication and storage of these trees in routing protocols demands an efficient rooted tree coding algorithm. This…

网络与互联网体系结构 · 计算机科学 2022-07-13 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

Despite the many recent practical and theoretical breakthroughs in computational game theory, equilibrium finding in extensive-form team games remains a significant challenge. While NP-hard in the worst case, there are provably efficient…

计算机科学与博弈论 · 计算机科学 2022-01-19 Brian Hu Zhang , Tuomas Sandholm

Motivated by an optimal visiting problem, we study a switching mean-field game on a network, where both a decisional and a switching time-variable is at disposal of the agents for what concerns, respectively, the instant to decide and the…

最优化与控制 · 数学 2023-03-23 Fabio Bagagiolo , Luciano Marzufero

Consider a two-person zero-sum search game between a Hider and a Searcher. The Hider chooses to hide in one of $n$ discrete locations (or "boxes") and the Searcher chooses a search sequence specifying which order to look in these boxes…

离散数学 · 计算机科学 2023-06-21 Thuy Bui , Thomas Lidbetter , Kyle Y. Lin

Harry hides on an edge of a graph and does not move from there. Sally, starting from a known origin, tries to find him as soon as she can. Harry's goal is to be found as late as possible. At any given time, each edge of the graph is either…

计算机科学与博弈论 · 计算机科学 2020-01-22 Tristan Garrec , Marco Scarsini

We consider the classic motion planning problem defined over a roadmap in which a vehicle seeks to find an optimal path from a source to a destination in presence of an attacker who can launch attacks on the vehicle over any edge of the…

计算机科学与博弈论 · 计算机科学 2022-04-19 Sandeep Banik , Shaunak D. Bopardikar

This paper aims to solve the optimal strategy against a well-known adaptive algorithm, the Hedge algorithm, in a finitely repeated $2\times 2$ zero-sum game. In the literature, related theoretical results are very rare. To this end, we make…

最优化与控制 · 数学 2023-12-18 Xinxiang Guo , Yifen Mu

We study a variant of the classical Cops and Robbers game with one cop and one robber, in which the cop follows a fixed walk on the graph, a patrol, that is chosen before the game begins, while the robber is omniscient, he knows the entire…

组合数学 · 数学 2026-03-10 Nina Chiarelli , Paul Dorbec , Miloš Stojaković , Andrej Taranenko

In modern transportation networks, adversaries can manipulate routing algorithms using false data injection attacks, such as simulating heavy traffic with multiple devices running crowdsourced navigation applications, to mislead vehicles…

人工智能 · 计算机科学 2026-03-13 Taha Eghtesad , Yevgeniy Vorobeychik , Aron Laszka

We consider the following problem: Given a finite set of straight line segments in the plane, determine the positions of a minimal number of points on the segments, from which guards can see all segments. This problem can be interpreted as…

计算几何 · 计算机科学 2015-03-14 Valentin E. Brimkov

Recent papers have shown optimally-competitive on-line strategies for a robot traveling from a point $s$ to a point $t$ in certain unknown geometric environments. We consider the question: Having gained some partial information about the…

组合数学 · 数学 2016-09-06 Avrim Blum , Prasad Chalasani

Expressing attack-defence trees in a multi-agent setting allows for studying a new aspect of security scenarios, namely how the number of agents and their task assignment impact the performance, e.g. attack time, of strategies executed by…

多智能体系统 · 计算机科学 2023-10-20 Jaime Arias , Carlos Olarte , Laure Petrucci , Łukasz Maśko , Wojciech Penczek , Teofil Sidoruk

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

机器人学 · 计算机科学 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

Finding efficient algorithms to explore large networks with the aim of recovering information about their structure is an open problem. Here, we investigate this challenge by proposing a model in which random walkers with previously…

适应与自组织系统 · 物理学 2015-06-04 Luce Prignano , Yamir Moreno , Albert Diaz-Guilera

The interdiction of escaping adversaries in urban networks is a critical security challenge. State-of-the-art game-theoretic models, such as the Escape Interdiction Game (EIG), provide comprehensive frameworks but assume a highly dynamic…

数据结构与算法 · 计算机科学 2025-10-07 Sukanya Samanta , Manohar Reddy

The main topic of this paper is motivated by a localization problem in cellular networks. Given a graph $G$ we want to localize a walking agent by checking his distance to as few vertices as possible. The model we introduce is based on a…

Expressing attack-defence trees in a multi-agent setting allows for studying a new aspect of security scenarios, namely how the number of agents and their task assignment impact the performance, e.g. attack time, of strategies executed by…

多智能体系统 · 计算机科学 2022-05-02 Jaime Arias , Łukasz Maśko , Wojciech Penczek , Laure Petrucci , Teofil Sidoruk