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Exact algorithms for solving stochastic games
Shapley's discounted stochastic games, Everett's recursive games and Gillette's
undiscounted stochastic games are classical models of game theory describing two-player …
undiscounted stochastic games are classical models of game theory describing two-player …
Computing quantiles in Markov reward models
Probabilistic model checking mainly concentrates on techniques for reasoning about the
probabilities of certain path properties or expected values of certain random variables. For …
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 …
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 …
theory in which two opponents interact and the environment changes in response to the …
The complexity of ergodic mean-payoff games
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 …
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
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 …
space played for an infinite number of steps. In every step, the two players simultaneously …
[HTML][HTML] Qualitative analysis of concurrent mean-payoff games
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 …
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 …
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
Two standard algorithms for approximately solving two-player zero-sum concurrent
reachability games are value iteration and strategy iteration. We prove upper and lower …
reachability games are value iteration and strategy iteration. We prove upper and lower …
Strategy complexity of concurrent safety games
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 …
infinite number of rounds, where in every round, each player simultaneously and …