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20182025
most citedGames Where You Can Play Optimally with Arena-Independent Finite Memory

18 citations · 37 across the 9 of their papers we have counts for

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6 papers · 1 filter

cs.GT2024

The Power of Counting Steps in Quantitative Games

Sougata Bose, Rasmus Ibsen-Jensen, David Purser +2

We study deterministic games of infinite duration played on graphs and focus on the strategy complexity of quantitative objectives. Such games are known to admit optimal memoryless…

cs.GT2022

How to Play Optimally for Regular Objectives?

Patricia Bouyer, Nathanaël Fijalkow, Mickael Randour +1

This paper studies two-player zero-sum games played on graphs and makes contributions toward the following question: given an objective, how much memory is required to play optimal…

cs.GT2022★ 1 cited

Half-Positional Objectives Recognized by Deterministic Büchi Automata

Patricia Bouyer, Antonio Casares, Mickael Randour +1

In two-player games on graphs, the simplest possible strategies are those that can be implemented without any memory. These are called positional strategies. In this paper, we char…

cs.GT2021★ 10 cited

Characterizing Omega-Regularity through Finite-Memory Determinacy of Games on Infinite Graphs

Patricia Bouyer, Mickael Randour, Pierre Vandenhove

We consider zero-sum games on infinite graphs, with objectives specified as sets of infinite words over some alphabet of colors. A well-studied class of objectives is the one of $ω…

cs.GT2021★ 6 cited

Arena-Independent Finite-Memory Determinacy in Stochastic Games

Patricia Bouyer, Youssouf Oualhadj, Mickael Randour +1

We study stochastic zero-sum games on graphs, which are prevalent tools to model decision-making in presence of an antagonistic opponent in a random environment. In this setting, a…

cs.GT2020★ 18 cited

Games Where You Can Play Optimally with Arena-Independent Finite Memory

Patricia Bouyer, Stéphane Le Roux, Youssouf Oualhadj +2

For decades, two-player (antagonistic) games on graphs have been a framework of choice for many important problems in theoretical computer science. A notorious one is controller sy…