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Games on graphs provide a natural model for reactive non-terminating systems. In such games, the interaction of two players on an arena results in an infinite path that describes a run of the system. Different settings are used to model…

Computer Science and Game Theory · Computer Science 2011-06-08 Krishnendu Chatterjee , Nathanaël Fijalkow

Games on recursive game graphs can be used to reason about the control flow of sequential programs with recursion. In games over recursive game graphs, the most natural notion of strategy is the modular strategy, i.e., a strategy that is…

Logic in Computer Science · Computer Science 2014-08-27 Ilaria De Crescenzo , Salvatore La Torre , Yaron Velner

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

Computer Science and Game Theory · Computer Science 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

Infinite games where several players seek to coordinate under imperfect information are deemed to be undecidable, unless the information is hierarchically ordered among the players. We identify a class of games for which joint winning…

Computer Science and Game Theory · Computer Science 2015-07-29 Dietmar Berwanger , Anup Basil Mathew

We introduce differential games for FO logic of graphs, a variant of Ehrenfeucht-Fra\"{i}ss\'e games in which the game is played on only one graph and the moves of both players restricted. We prove that, in a certain sense, these games are…

Logic in Computer Science · Computer Science 2020-07-23 Jakub Gajarský , Maximilian Gorsky , Stephan Kreutzer

We introduce a way to parameterize automata and games on finite graphs with natural numbers. The parameters are accessed essentially by allowing counting down from the parameter value to 0 and branching depending on whether 0 has been…

Computer Science and Game Theory · Computer Science 2018-09-11 Arno Pauly

The ability to inferring latent psychological traits from human behavior is key to developing personalized human-interacting machine learning systems. Approaches to infer such traits range from surveys to manually-constructed experiments…

Machine Learning · Computer Science 2019-12-13 Fan Yang , Liu Leqi , Yifan Wu , Zachary C. Lipton , Pradeep Ravikumar , William W. Cohen , Tom Mitchell

In the synthesis of distributed systems, we automate the development of distributed programs and hardware by automatically deriving correct implementations from formal specifications. For synchronous distributed systems, the synthesis…

Logic in Computer Science · Computer Science 2021-10-19 Bernd Finkbeiner , Manuel Gieseking , Jesko Hecking-Harbusch , Ernst-Rüdiger Olderog

Two-player win/lose games of infinite duration are involved in several disciplines including computer science and logic. If such a game has deterministic winning strategies, one may ask how simple such strategies can get. The answer may…

Computer Science and Game Theory · Computer Science 2020-02-04 Stéphane Le Roux

Consider a system in which players at nodes of an underlying graph G repeatedly play Prisoner's Dilemma against their neighbors. The players adapt their strategies based on the past behavior of their opponents by applying the so-called…

Discrete Mathematics · Computer Science 2008-12-08 Gabriel Istrate , Madhav V. Marathe , S. S. Ravi

The connected domination game is played just as the domination game, with an additional requirement that at each stage of the game the vertices played induce a connected subgraph. The number of moves in a D-game (an S-game, resp.) on a…

Combinatorics · Mathematics 2021-12-21 Csilla Bujtás , Vesna Iršič , Sandi Klavžar

Turn-based discounted-sum games are two-player zero-sum games played on finite directed graphs. The vertices of the graph are partitioned between player 1 and player 2. Plays are infinite walks on the graph where the next vertex is decided…

Computer Science and Game Theory · Computer Science 2024-05-21 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Jakub Svoboda

We study two-player multi-weighted reachability games played on a finite directed graph, where an agent, called P1, has several quantitative reachability objectives that he wants to optimize against an antagonistic environment, called P2.…

Computer Science and Game Theory · Computer Science 2025-09-08 Thomas Brihaye , Aline Goeminne

We continue the investigation of finite-duration variants of infinite-duration games by extending known results for games played on finite graphs to those played on infinite ones. In particular, we establish an equivalence between pushdown…

Computer Science and Game Theory · Computer Science 2012-10-10 Wladimir Fridman , Martin Zimmermann

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system…

Logic in Computer Science · Computer Science 2015-11-20 André Platzer

We define reachability games based on Dynamic Epistemic Logic (DEL), where the players' actions are finely described as DEL action models. We first consider the setting where an external controller with perfect information interacts with an…

Logic in Computer Science · Computer Science 2019-05-30 Bastien Maubert , Sophie Pinchinat , François Schwarzentruber

Admissibility has been studied for games of infinite duration with Boolean objectives. We extend here this study to games of infinite duration with quantitative objectives. First, we show that, un- der the assumption that optimal worst-case…

Logic in Computer Science · Computer Science 2016-11-29 Romain Brenguier , Guillermo A. Pérez , Jean-François Raskin , Ocan Sankur

We consider infinite-state turn-based stochastic games of two players, Box and Diamond, who aim at maximizing and minimizing the expected total reward accumulated along a run, respectively. Since the total accumulated reward is unbounded,…

Computer Science and Game Theory · Computer Science 2012-08-09 Tomáš Brázdil , Antonín Kučera , Petr Novotný

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

Populations and Evolution · Quantitative Biology 2019-06-19 Qi Su , Lei Zhou , Long Wang

We consider finite-state concurrent stochastic games, played by k>=2 players for an infinite number of rounds, where in every round, each player simultaneously and independently of the other players chooses an action, whereafter the…

Computer Science and Game Theory · Computer Science 2015-06-09 Krishnendu Chatterjee , Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen