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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …