Exact algorithms for solving stochastic games

KA Hansen, M Koucky, N Lauritzen… - Proceedings of the forty …, 2011 - dl.acm.org
Shapley's discounted stochastic games, Everett's recursive games and Gillette's
undiscounted stochastic games are classical models of game theory describing two-player …

Computing quantiles in Markov reward models

M Ummels, C Baier - International Conference on Foundations of Software …, 2013 - Springer
Probabilistic model checking mainly concentrates on techniques for reasoning about the
probabilities of certain path properties or expected values of certain random variables. For …

[BOK][B] A course in stochastic game theory

E Solan - 2022 - books.google.com
Stochastic games have an element of chance: the state of the next round is determined
probabilistically depending upon players' actions and the current state. Successful players …

New algorithms for solving zero-sum stochastic games

M Oliu-Barton - Mathematics of Operations Research, 2021 - pubsonline.informs.org
Zero-sum stochastic games, henceforth stochastic games, are a classical model in game
theory in which two opponents interact and the environment changes in response to the …

The complexity of ergodic mean-payoff games

K Chatterjee, R Ibsen-Jensen - International Colloquium on Automata …, 2014 - Springer
We study two-player (zero-sum) concurrent mean-payoff games played on a finite-state
graph. We focus on the important sub-class of ergodic games where all states are visited …

Concurrent Stochastic Games with Stateful-Discounted and Parity Objectives: Complexity and Algorithms

A Asadi, K Chatterjee, R Saona, J Svoboda - arxiv preprint arxiv …, 2024 - arxiv.org
We study two-player zero-sum concurrent stochastic games with finite state and action
space played for an infinite number of steps. In every step, the two players simultaneously …

[HTML][HTML] Qualitative analysis of concurrent mean-payoff games

K Chatterjee, R Ibsen-Jensen - Information and Computation, 2015 - Elsevier
We consider concurrent games played by two players on a finite-state graph, where in every
round the players simultaneously choose a move, and the current state along with the joint …

Approximating the value of a concurrent reachability game in the polynomial time hierarchy

SKS Frederiksen, PB Miltersen - International Symposium on Algorithms …, 2013 - Springer
We show that the value of a finite-state concurrent reachability game can be approximated to
arbitrary precision in TFNP [NP], that is, in the polynomial time hierarchy. Previously, no …

The complexity of solving reachability games using value and strategy iteration

KA Hansen, R Ibsen-Jensen, PB Miltersen - Theory of Computing Systems, 2014 - Springer
Two standard algorithms for approximately solving two-player zero-sum concurrent
reachability games are value iteration and strategy iteration. We prove upper and lower …

Strategy complexity of concurrent safety games

K Chatterjee, KA Hansen… - … Foundations of Computer …, 2017 - drops.dagstuhl.de
We consider two player, zero-sum, finite-state concurrent reachability games, played for an
infinite number of rounds, where in every round, each player simultaneously and …