Positional ω-regular languages

A Casares, P Ohlmann - Proceedings of the 39th Annual ACM/IEEE …, 2024 - dl.acm.org
In the context of two-player games over graphs, a language L is called positional if, in all
games using L as winning objective, the protagonist can play optimally using positional …

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 …

Rabin games and colourful universal trees

R Majumdar, I Sağlam, KS Thejaswini - … on Tools and Algorithms for the …, 2024 - Springer
We provide an algorithm to solve Rabin and Streett games over graphs with n vertices, m
edges, and k colours that runs in O~ mn (k!) 1+ o (1) time and O (nk log k log n) space …

Positionality in {\Sigma} _0^ 2 and a completeness result

P Ohlmann, M Skrzypczak - arXiv preprint arXiv:2309.17022, 2023 - arxiv.org
We study the existence of positional strategies for the protagonist in infinite duration games
over arbitrary game graphs. We prove that prefix-independent objectives in {\Sigma} _0^ 2 …

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 …

[PDF][PDF] Playing safe, ten years later

T Colcombet, N Fijalkow, F Horn - Logical Methods in …, 2024 - lmcs.episciences.org
We consider two-player games over graphs and give tight bounds on the memory size of
strategies ensuring safety objectives. More specifically, we show that the minimal number of …

Half-positional -regular languages

A Casares, P Ohlmann - arXiv preprint arXiv:2401.15384, 2024 - arxiv.org
In the context of two-player games over graphs, a language $ L $ is called half-positional if,
in all games using $ L $ as winning objective, the protagonist can play optimally using …

Reducing Stochastic Games to Semidefinite Programming

M Bodirsky, G Loho, M Skomra - arXiv preprint arXiv:2411.09646, 2024 - arxiv.org
We present a polynomial-time reduction from max-average constraints to the feasibility
problem for semidefinite programs. This shows that Condon's simple stochastic games …

Strategy complexity of zero-sum games on graphs

P Vandenhove - 2023 - theses.hal.science
We study two-player zero-sum turn-based games on graphs, a framework of choice in
theoretical computer science. Such games model the possibly infinite interaction between a …

[PDF][PDF] Multiplayer Games

R BRENGUIER, O SANKUR - Games on Graphs, 2023 - arxiv.org
In two player games seen so far, players had objectives that are opposite to each other's, so
we were able to define them giving only Eve's objective. Adam was seen as a purely …