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Eternal vertex cover is the following two-player game between a defender and an attacker on a graph. Initially, the defender positions k guards on k vertices of the graph; the game then proceeds in turns between the defender and the…

Combinatorics · Mathematics 2025-04-08 Tiziana Calamoneri , Federico Corò , Giacomo Paesani

For a wireless avionics communication system, a Multi-arm bandit game is mathematically formulated, which includes channel states, strategies, and rewards. The simple case includes only two agents sharing the spectrum which is fully studied…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Jingyang Lu , Lun Li , Dan Shen , Genshe Chen , Bin Jia , Erik Blasch , Khanh Pham

In the standard setting of approachability there are two players and a target set. The players play repeatedly a known vector-valued game where the first player wants to have the average vector-valued payoff converge to the target set which…

Machine Learning · Statistics 2016-06-20 Shie Mannor , Vianney Perchet , Gilles Stoltz

The convex grabbing game is a game where two players, Alice and Bob, alternate taking extremal points from the convex hull of a point set on the plane. Rational weights are given to the points. The goal of each player is to maximize the…

Combinatorics · Mathematics 2021-08-13 Martin Dvorak , Sara Nicholson

\textit{Voronoi game} is a geometric model of competitive facility location problem played between two players. Users are generally modeled as points uniformly distributed on a given underlying space. Each player chooses a set of points in…

Data Structures and Algorithms · Computer Science 2014-08-01 Sayan Bandyapadhyay , Aritra Banik , Sandip Das , Hirak Sarkar

A game-theoretic model for the study of dynamic networks is analyzed. The model is motivated by communication networks that are subject to failure of nodes and where the restoration needs resources. The corresponding two-player game is…

Computer Science and Game Theory · Computer Science 2011-06-08 Sten Grüner , Frank G. Radmacher , Wolfgang Thomas

The Colonel Blotto game, introduced by Borel in the 1920s, is often used for modeling various real-life settings, such as elections, lobbying, etc. The game is based on the allocation of limited resources by players to a set of fields. Each…

Theoretical Economics · Economics 2024-07-25 Sidarth Erat

This paper is concerned with continuous-time pursuit and evasion games. Typically, we have a lion and a man in a metric space: they have the same speed, and the lion wishes to catch the man while the man tries to evade capture. We are…

Optimization and Control · Mathematics 2009-09-15 B. Bollobás , I. Leader , M. Walters

This paper proposes a game-theoretic approach to address the problem of optimal sensor placement for detecting cyber-attacks in networked control systems. The problem is formulated as a zero-sum game with two players, namely a malicious…

Optimization and Control · Mathematics 2022-05-30 Anh Tung Nguyen , André M. H. Teixeira , Alexander Medvedev

In this paper we analyze a variant of the pursuit-evasion game on a graph $G$ where the intruder occupies a vertex, is allowed to move to adjacent vertices or remain in place, and is 'invisible' to the searcher, meaning that the searcher…

Combinatorics · Mathematics 2022-04-07 Anton Bernshteyn , Eugene Lee

We investigate a discrete search game called the Multiple Caching Game where the searcher's aim is to find all of a set of $d$ treasures hidden in $n$ locations. Allowed queries are sets of locations of size $k$, and the searcher wins if in…

Optimization and Control · Mathematics 2025-09-03 Áron Jánosik , Csenge Miklós , Dániel G. Simon , Kristóf Zólomy

In this paper we investigate the problem of designing a spectrum scanning strategy to detect an intelligent Invader who wants to utilize spectrum undetected for his/her unapproved purposes. To deal with this problem we model the situation…

Computer Science and Game Theory · Computer Science 2015-04-28 Andrey Garnaev , Wade Trappe

Wireless secret sharing is crucial to information security in the era of Internet of Things. One method is to utilize the effect of the randomness of the wireless channel in the data link layer to generate the common secret between two…

Networking and Internet Architecture · Computer Science 2021-01-28 Lei Miao , Dingde Jiang

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

Statistics Theory · Mathematics 2008-12-18 Aurélien Garivier , Eric Moulines

In this paper, we propose a planning framework to generate a defense strategy against an attacker who is working in an environment where a defender can operate without the attacker's knowledge. The objective of the defender is to covertly…

Artificial Intelligence · Computer Science 2023-04-07 Brittany Cates , Anagha Kulkarni , Sarath Sreedharan

This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently…

Artificial Intelligence · Computer Science 2025-10-07 Gon Buzaglo , Noah Golowich , Elad Hazan

This paper considers a game-theoretic formulation of the covert communications problem with finite blocklength, where the transmitter (Alice) can randomly vary her transmit power in different blocks, while the warden (Willie) can randomly…

Information Theory · Computer Science 2020-05-28 Alex S. Leong , Daniel E. Quevedo , Subhrakanti Dey

We consider a hide-and-seek game between a Hider and a Seeker over a finite set of locations. The Hider chooses one location to conceal a stationary treasure, while the Seeker visits the locations sequentially along a route. As the search…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Prajakta Surve , Shaunak D. Bopardikar , Daigo Shishika , Dipankar Maity , Michael Dorothy

Conservative mechanism is a desirable property in decision-making problems which balance the tradeoff between the exploration and exploitation. We propose the novel \emph{conservative contextual combinatorial cascading bandit…

Machine Learning · Computer Science 2021-04-26 Kun Wang , Canzhe Zhao , Shuai Li , Shuo Shao

Bandit based methods for tree search have recently gained popularity when applied to huge trees, e.g. in the game of go (Gelly et al., 2006). The UCT algorithm (Kocsis and Szepesvari, 2006), a tree search method based on Upper Confidence…

Machine Learning · Computer Science 2016-08-14 Pierre-Arnaud Coquelin , Rémi Munos
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