Probabilistic model checking and autonomy

M Kwiatkowska, G Norman… - Annual review of control …, 2022 - annualreviews.org
The design and control of autonomous systems that operate in uncertain or adversarial
environments can be facilitated by formal modeling and analysis. Probabilistic model …

Automatic verification of concurrent stochastic systems

M Kwiatkowska, G Norman, D Parker… - Formal Methods in System …, 2021 - Springer
Automated verification techniques for stochastic games allow formal reasoning about
systems that feature competitive or collaborative behaviour among rational agents in …

Probabilistic model checking for strategic equilibria-based decision making: Advances and challenges

M Kwiatkowska, G Norman, D Parker, G Santos… - arXiv preprint arXiv …, 2022 - arxiv.org
Game-theoretic concepts have been extensively studied in economics to provide insight into
competitive behaviour and strategic decision making. As computing systems increasingly …

Synthesis of equilibria in infinite-duration games on graphs

V Bruyère - ACM SIGLOG News, 2021 - dl.acm.org
In this survey, we propose a comprehensive introduction to game theory applied to computer-
aided synthesis. We study multi-player turn-based infinite-duration games played on a finite …

Subgame-perfect equilibria in mean-payoff games

L Brice, JF Raskin, MVD Bogaard - arXiv preprint arXiv:2101.10685, 2021 - arxiv.org
In this paper, we provide an effective characterization of all the subgame-perfect equilibria in
infinite duration games played on finite graphs with mean-payoff objectives. To this end, we …

Rational verification for nash and subgame-perfect equilibria in graph games

L Brice, JF Raskin… - … Foundations of Computer …, 2023 - drops.dagstuhl.de
We study a natural problem about rational behaviors in multiplayer non-zero-sum sequential
infinite duration games played on graphs: rational verification, that consists in deciding …

Finite-horizon equilibria for neuro-symbolic concurrent stochastic games

R Yan, G Santos, X Duan, D Parker… - Uncertainty in …, 2022 - proceedings.mlr.press
We present novel techniques for neuro-symbolic concurrent stochastic games, a recently
proposed modelling formalism to represent a set of probabilistic agents operating in a …

Multi-player equilibria verification for concurrent stochastic games

M Kwiatkowska, G Norman, D Parker… - … on Quantitative Evaluation …, 2020 - Springer
Concurrent stochastic games (CSGs) are an ideal formalism for modelling probabilistic
systems that feature multiple players or components with distinct objectives making …

Stackelberg-pareto synthesis

V Bruyère, B Fievet, JF Raskin, C Tamines - ACM Transactions on …, 2024 - dl.acm.org
We study the framework of two-player Stackelberg games played on graphs in which Player
0 announces a strategy and Player 1 responds rationally with a strategy that is an optimal …

The complexity of SPEs in mean-payoff games

L Brice, JF Raskin, M Bogaard - arXiv preprint arXiv:2202.08499, 2022 - arxiv.org
We establish that the subgame perfect equilibrium (SPE) threshold problem for mean-payoff
games is NP-complete. While the SPE threshold problem was recently shown to be …