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We study the m-eternal domination problem from the perspective of the attacker. For many graph classes, the minimum required number of guards to defend eternally is known. By definition, if the defender has less than the required number of…

Discrete Mathematics · Computer Science 2022-04-07 Václav Blažej , Jan Matyáš Křišťan , Tomáš Valla

It is known that the memory is relevant in the symmetric phase of the minority game. In our previous work we have successfully explained the quasi-periodic behavior of the game in the symmetric phase with the help of the probability theory.…

Data Analysis, Statistics and Probability · Physics 2009-11-13 C. H. Hung , S. S. Liaw

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on lossy channel systems, for the case where the players are restricted to finite-memory strategies. First, we describe a general framework, where…

Computer Science and Game Theory · Computer Science 2013-06-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-10-03 Julie Parreaux , Jakob Piribauer , Christel Baier

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-08-23 Julie Parreaux , Jakob Piribauer , Christel Baier

We develop a method based on computer algebra systems to represent the mutual pure strategy best-response dynamics of symmetric two-player, two-action repeated games played by players with a one-period memory. We apply this method to the…

Dynamical Systems · Mathematics 2022-10-04 Janusz M Meylahn , Lars Janssen

Classical reactive synthesis approaches aim to synthesize a reactive system that always satisfies a given specifications. These approaches often reduce to playing a two-player zero-sum game where the goal is to synthesize a winning…

Computer Science and Game Theory · Computer Science 2025-06-09 Karan Muvvala , Qi Heng Ho , Morteza Lahijanian

In this paper, we study one-player and two-player energy mean-payoff games. Energy mean-payoff games are games of infinite duration played on a finite graph with edges labeled by 2-dimensional weight vectors. The objective of the first…

Computer Science and Game Theory · Computer Science 2019-07-03 Véronique Bruyère , Quentin Hautem , Mickael Randour , Jean-François Raskin

We study 2-player turn-based perfect-information stochastic games with countably infinite state space. The players aim at maximizing/minimizing the probability of a given event (i.e., measurable set of infinite plays), such as reachability,…

Computer Science and Game Theory · Computer Science 2017-04-18 Stefan Kiefer , Richard Mayr , Mahsa Shirmohammadi , Dominik Wojtczak

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

Computer Science and Game Theory · Computer Science 2026-05-20 Léonard Brice

Security games are an example of a successful real-world application of game theory. The paper defines blameworthiness of the defender and the attacker in security games using the principle of alternative possibilities and provides a sound…

Artificial Intelligence · Computer Science 2019-11-13 Pavel Naumov , Jia Tao

In adversarial patrolling games, a mobile Defender strives to discover intrusions at vulnerable targets initiated by an Attacker. The Attacker's utility is traditionally defined as the probability of completing an attack, possibly weighted…

Multiagent Systems · Computer Science 2022-02-03 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák

Stochastic games with discounted payoff, introduced by Shapley, model adversarial interactions in stochastic environments where two players try to optimize a discounted sum of rewards. In this model, long-term weights are geometrically…

Computer Science and Game Theory · Computer Science 2021-10-22 Taylor Dohmen , Ashutosh Trivedi

This paper studies the synthesis of control policies for an agent that has to satisfy a temporal logic specification in a partially observable environment, in the presence of an adversary. The interaction of the agent (defender) with the…

Systems and Control · Electrical Eng. & Systems 2020-11-09 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Linda Bushnell , Radha Poovendran

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

Computer Science and Game Theory · Computer Science 2022-02-28 Laurent Doyen

This paper examines multiplayer symmetric constant-sum games with more than two players in a competitive setting, including examples like Mahjong, Poker, and various board and video games. In contrast to two-player zero-sum games,…

Machine Learning · Computer Science 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

Counter reachability games are played by two players on a graph with labelled edges. Each move consists in picking an edge from the current location and adding its label to a counter vector. The objective is to reach a given counter value…

Computer Science and Game Theory · Computer Science 2013-07-22 Julien Reichert

We introduce a two-player game in which one and his/her opponent attempt to pack as many ``prisoners'' as possible on the squares of an n-by-n checkerboard; each prisoner has to be ``protected'' by at least as many guards as the number of…

Combinatorics · Mathematics 2008-01-08 Timothy Howard , Eugen J. Ionascu , David Woolbright

We study zero-sum repeated games where the minimizing player has to pay a certain cost each time he changes his action. Our contribution is twofold. First, we show that the value of the game exists in stationary strategies, depending solely…

Optimization and Control · Mathematics 2021-10-29 Yevgeny Tsodikovich , Xavier Venel , Anna Zseleva

We study two player reachability-price games on single-clock timed automata. The problem is as follows: given a state of the automaton, determine whether the first player can guarantee reaching one of the designated goal locations. If a…

Computer Science and Game Theory · Computer Science 2011-07-07 Michal Rutkowski