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Comparison of Algorithms for Simple Stochastic Games

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KŘETÍNSKÝ Jan RAMNEANTU Emanuel SLIVINSKIY Alexander WEININGER Maximilian

Rok publikování 2020
Druh Článek ve sborníku
Konference Proceedings 11th International Symposium on Games, Automata, Logics, and Formal Verification, GandALF 2020, Brussels, Belgium, September 21-22, 2020.
Fakulta / Pracoviště MU

Fakulta informatiky

Citace
Doi https://doi.org/10.4204/EPTCS.326.9
Popis Simple stochastic games are turn-based 21/2-player zero-sum graph games with a reachability objective. The problem is to compute the winning probability as well as the optimal strategies of both players. In this paper, we compare the three known classes of algorithms - value iteration, strategy iteration and quadratic programming - both theoretically and practically. Further, we suggest several improvements for all algorithms, including the first approach based on quadratic programming that avoids transforming the stochastic game to a stopping one. Our extensive experiments show that these improvements can lead to significant speed-ups. We implemented all algorithms in PRISMgames 3.0, thereby providing the first implementation of quadratic programming for solving simple stochastic games.

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