[HTML][HTML] Value iteration for simple stochastic games: Stopping criterion and learning algorithm

J Eisentraut, E Kelmendi, J Křetínský… - Information and …, 2022 - Elsevier
The classical problem of reachability in simple stochastic games is typically solved by value
iteration (VI), which produces a sequence of under-approxima-tions of the value of the …

Optimistic and topological value iteration for simple stochastic games

M Azeem, A Evangelidis, J Křetínský… - … for Verification and …, 2022 - Springer
While value iteration (VI) is a standard solution approach to simple stochastic games
(SSGs), it suffered from the lack of a stopping criterion. Recently, several solutions have …

Value iteration for simple stochastic games: Stopping criterion and learning algorithm

E Kelmendi, J Krämer, J Křetínský… - … conference on computer …, 2018 - Springer
Simple stochastic games can be solved by value iteration (VI), which yields a sequence of
under-approximations of the value of the game. This sequence is guaranteed to converge to …

[HTML][HTML] Comparison of algorithms for simple stochastic games

J Křetínský, E Ramneantu, A Slivinskiy… - Information and …, 2022 - Elsevier
Simple stochastic games are turn-based 2½-player zero-sum graph games with a
reachability objective. The problem is to compute the winning probabilities as well as the …

Faster algorithm for turn-based stochastic games with bounded treewidth

K Chatterjee, T Meggendorfer, R Saona… - Proceedings of the 2023 …, 2023 - SIAM
Turn-based stochastic games (aka simple stochastic games) are two-player zero-sum
games played on directed graphs with probabilistic transitions. The goal of player-max is to …

Approximating values of generalized-reachability stochastic games

P Ashok, K Chatterjee, J Křetínský… - Proceedings of the 35th …, 2020 - dl.acm.org
Simple stochastic games are turn-based 2½-player games with a reachability objective. The
basic question asks whether one player can ensure reaching a given target with at least a …

Model-free reinforcement learning for stochastic parity games

EM Hahn, M Perez, S Schewe… - 31st International …, 2020 - research.utwente.nl
This paper investigates the use of model-free reinforcement learning to compute the optimal
value in two-player stochastic games with parity objectives. In this setting, two decision …

A generic strategy improvement method for simple stochastic games

D Auger, XB de Montjoye, Y Strozecki - arXiv preprint arXiv:2102.04922, 2021 - arxiv.org
We present a generic strategy iteration algorithm (GSIA) to find an optimal strategy of a
simple stochastic game (SSG). We prove the correctness of GSIA, and derive a general …

Correlated equilibria and fairness in concurrent stochastic games

M Kwiatkowska, G Norman, D Parker… - … Conference on Tools and …, 2022 - Springer
Game-theoretic techniques and equilibria analysis facilitate the design and verification of
competitive systems. While algorithmic complexity of equilibria computation has been …

Avoiding distractions in parity games

T van Dijk - International Symposium on Leveraging Applications of …, 2024 - Springer
We consider algorithms for parity games that use attractor decomposition, such as Zielonka's
recursive algorithm, priority promotion, and tangle learning. In earlier work, we identified the …