Games where you can play optimally with arena-independent finite memory

P Bouyer, S Le Roux, Y Oualhadj… - Logical Methods in …, 2022 - lmcs.episciences.org
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 …

[PDF][PDF] Characterizing omega-regularity through finite-memory determinacy of games on infinite graphs

P Bouyer, M Randour, P Vandenhove - TheoretiCS, 2023 - theoretics.episciences.org
We consider zero-sum games on in nite graphs, with objectives speci ed as sets of in nite
words over some alphabet of colors. A well-studied class of objectives is the one of 𝜔 …

Characterizing positionality in games of infinite duration over infinite graphs

P Ohlmann - Proceedings of the 37th Annual ACM/IEEE Symposium …, 2022 - dl.acm.org
We study turn-based quantitative games of infinite duration opposing two antagonistic
players and played over graphs. This model is widely accepted as providing the adequate …

Half-Positional Objectives Recognized by Deterministic B\" uchi Automata

P Bouyer, A Casares, M Randour… - Logical Methods in …, 2024 - lmcs.episciences.org
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 …

Characterising memory in infinite games

A Casares, P Ohlmann - arXiv preprint arXiv:2209.12044, 2022 - arxiv.org
This paper is concerned with games of infinite duration played over potentially infinite
graphs. Recently, Ohlmann (LICS 2022) presented a characterisation of objectives admitting …

Different strokes in randomised strategies: Revisiting Kuhn's theorem under finite-memory assumptions

JCA Main, M Randour - Information and Computation, 2024 - Elsevier
Two-player (antagonistic) games on (possibly stochastic) graphs are a prevalent model in
theoretical computer science, notably as a framework for reactive synthesis. Optimal …

The true colors of memory: A tour of chromatic-memory strategies in zero-sum games on graphs (invited talk)

P Bouyer, M Randour… - 42nd IARCS Annual …, 2022 - drops.dagstuhl.de
Two-player turn-based zero-sum games on (finite or infinite) graphs are a central framework
in theoretical computer science-notably as a tool for controller synthesis, but also due to their …

Bounded-Memory Strategies in Partial-Information Games

S Bose, R Ibsen-Jensen, P Totzke - arXiv preprint arXiv:2405.09406, 2024 - arxiv.org
We study the computational complexity of solving stochastic games with mean-payoff
objectives. Instead of identifying special classes in which simple strategies are sufficient to …

Reachability Games and Friends: A Journey Through the Lens of Memory and Complexity (Invited Talk)

T Brihaye, A Goeminne, JCA Main… - 43rd IARCS Annual …, 2023 - drops.dagstuhl.de
Reachability objectives are arguably the most basic ones in the theory of games on graphs
(and beyond). But far from being bland, they constitute the cornerstone of this field …

Monotonic graphs for parity and mean-payoff games

P Ohlmann - 2021 - theses.hal.science
In a parity game, Eve and Adam take turns in moving a token along the edges of a directed
graph, which are labelled by integers called priorities. This interaction results in an infinite …