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 …

On stochastic games with multiple objectives

T Chen, V Forejt, M Kwiatkowska, A Simaitis… - … of Computer Science …, 2013 - Springer
We study two-player stochastic games, where the goal of one player is to satisfy a formula
given as a positive boolean combination of expected total reward objectives and the …

Stochastic games with lexicographic objectives

K Chatterjee, JP Katoen, S Mohr, M Weininger… - Formal Methods in …, 2024 - Springer
We study turn-based stochastic zero-sum games with lexicographic preferences over
objectives. Stochastic games are standard models in control, verification, and synthesis of …

Computer aided synthesis: A game-theoretic approach

V Bruyère - Developments in Language Theory: 21st International …, 2017 - Springer
In this invited contribution, we propose a comprehensive introduction to game theory applied
in computer aided synthesis. In this context, we give some classical results on two-player …

Stochastic games with lexicographic reachability-safety objectives

K Chatterjee, JP Katoen, M Weininger… - … Conference on Computer …, 2020 - Springer
We study turn-based stochastic zero-sum games with lexicographic preferences over
reachability and safety objectives. Stochastic games are standard models in control …

[HTML][HTML] Looking at mean-payoff and total-payoff through windows

K Chatterjee, L Doyen, M Randour, JF Raskin - Information and …, 2015 - Elsevier
We consider two-player games played on weighted directed graphs with mean-payoff and
total-payoff objectives, two classical quantitative objectives. While for single-dimensional …

Window parity games: an alternative approach toward parity games with time bounds

V Bruyère, Q Hautem, M Randour - arXiv preprint arXiv:1606.01831, 2016 - arxiv.org
Classical objectives in two-player zero-sum games played on graphs often deal with limit
behaviors of infinite plays: eg, mean-payoff and total-payoff in the quantitative setting, or …

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 …

Model and objective separation with conditional lower bounds: Disjunction is harder than conjunction

K Chatterjee, W Dvořák, M Henzinger… - Proceedings of the 31st …, 2016 - dl.acm.org
Given a model of a system and an objective, the model-checking question asks whether the
model satisfies the objective. We study polynomial-time problems in two classical models …