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In a Maker-Breaker game on a graph $G$, Breaker and Maker alternately claim edges of $G$. Maker wins if, after all edges have been claimed, the graph induced by his edges has some desired property. We consider four Maker-Breaker games…

Combinatorics · Mathematics 2013-09-24 Andrew Beveridge , Andrzej Dudek , Alan Frieze , Tobias Muller , Milos Stojakovic

We analyse Ping-Pong protocol from the point of view of a game. The analysis helps us in understanding the different strategies of a sender and an eavesdropper to gain the maximum payoff in the game. The study presented here characterizes…

Quantum Physics · Physics 2018-07-16 Hargeet Kaur , Atul Kumar

We consider the problem of maximizing the minimum (weighted) value of all components of a vector over a polymatroid. This is a special case of the lexicographically optimal base problem introduced and solved by Fujishige. We give an…

Optimization and Control · Mathematics 2021-10-19 Lisa Hellerstein , Thomas Lidbetter

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

A major limitation of open P2P networks is the lack of strong identities. This allows any agent to attack the system by creating multiple false personas, thereby disrupting the overlay network's connectivity and sabotaging its operation. In…

Cryptography and Security · Computer Science 2018-10-15 Saar Tochner , Aviv Zohar

We consider a game-theoretic setting to model the interplay between attacker and defender in the context of information flow, and to reason about their optimal strategies. In contrast with standard game theory, in our games the utility of a…

Cryptography and Security · Computer Science 2022-05-03 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

Because of the open access nature of wireless communications, wireless networks can suffer from malicious activity, such as jamming attacks, aimed at undermining the network's ability to sustain communication links and acceptable…

Computer Science and Game Theory · Computer Science 2017-11-30 Ying Liu , Andrey Garnaev , Wade Trappe

A new solution concept for two-player zero-sum matrix games with multi-dimensional payoff is introduced. It is based on extensions of vector orders in K-dimensional spaces to order relations in their power sets, so-called set relations, and…

Optimization and Control · Mathematics 2017-01-31 Andreas H. Hamel , Andreas Loehne

In this two-parts paper we propose a decentralized strategy, based on a game-theoretic formulation, to find out the optimal precoding/multiplexing matrices for a multipoint-to-multipoint communication system composed of a set of wideband…

Information Theory · Computer Science 2009-11-13 Gesualdo Scutari , D. P. Palomar , S. Barbarossa

In the game of pegging, each vertex of a graph is considered a hole into which a peg can be placed. A pegging move is performed by jumping one peg over another peg, and then removing the peg that has been jumped over from the graph. We…

Combinatorics · Mathematics 2011-03-03 Ariel Levavi

Network interdiction problems are combinatorial optimization problems involving two players: one aims to solve an optimization problem on a network, while the other seeks to modify the network to thwart the first player's objectives. Such…

Artificial Intelligence · Computer Science 2026-04-21 Lei Zhang , Zhiqian Chen , Chang-Tien Lu , Liang Zhao

In the $\left(1:b\right)$ component game played on a graph $G$, two players, Maker and Breaker, alternately claim~$1$ and~$b$ previously unclaimed edges of $G$, respectively. Maker's aim is to maximise the size of a largest connected…

Combinatorics · Mathematics 2020-12-18 Rani Hod , Michael Krivelevich , Tobias Müller , Alon Naor , Nicholas Wormald

Let $G$ be a graph with an even number of vertices. The matching preclusion number of $G$, denoted by $mp(G)$, is the minimum number of edges whose deletion leaves the resulting graph without a perfect matching. We introduced a $0$-$1$…

Combinatorics · Mathematics 2017-09-14 Ruizhi Lin , Heping Zhang

Searching for optimal ways in a network is an important task in multiple application areas such as social networks, co-citation graphs or road networks. In the majority of applications, each edge in a network is associated with a certain…

Social and Information Networks · Computer Science 2011-05-06 Franz Graf , Hans-Peter Kriegel , Matthias Schubert

In economic settings such as learning, social behavior, and financial contagion, agents interact through interdependent networks. This paper examines how a decision maker (DM) can design an optimal intervention strategy under network…

Theoretical Economics · Economics 2025-02-28 Daeyoung Jeong , Tongseok Lim , Euncheol Shin

Strategy iteration is a technique frequently used for two-player games in order to determine the winner or compute payoffs, but to the best of our knowledge no general framework for strategy iteration has been considered. Inspired by…

Logic in Computer Science · Computer Science 2022-12-14 Paolo Baldan , Richard Eggert , Barbara König , Tommaso Padoan

In this paper we present several strategies for multiple relay networks which are constrained by a half-duplex operation, i. e., each node either transmits or receives on a particular resource. Using the discrete memoryless multiple relay…

Information Theory · Computer Science 2007-12-24 P. Rost , G. Fettweis

We study a Stackelberg variant of the classical Most Vital Links problem, modeled as a one-round adversarial game between an attacker and a defender. The attacker strategically removes up to $k$ edges from a flow network to maximally…

Data Structures and Algorithms · Computer Science 2025-11-17 Pål Grønås Drange , Fedor V. Fomin , Petr Golovach , Danil Sagunov

The on-line shortest path problem is considered under various models of partial monitoring. Given a weighted directed acyclic graph whose edge weights can change in an arbitrary (adversarial) way, a decision maker has to choose in each…

Machine Learning · Computer Science 2007-05-23 Andras Gyorgy , Tamas Linder , Gabor Lugosi , Gyorgy Ottucsak

In an adversarial environment, a hostile player performing a task may behave like a non-hostile one in order not to reveal its identity to an opponent. To model such a scenario, we define identity concealment games: zero-sum stochastic…

Computer Science and Game Theory · Computer Science 2024-03-05 Mustafa O. Karabag , Melkior Ornik , Ufuk Topcu