Solving Simple Stochastic Games

@inproceedings{Gimbert2008SolvingSS,
  title={Solving Simple Stochastic Games},
  author={Hugo Gimbert and Florian Horn},
  booktitle={CiE},
  year={2008}
}
We present a new algorithm for solving Simple Stochastic Games (SSGs), which is fixed parameter tractable when parametrized with the number of random vertices. This algorithm is based on an exhaustive search of a special kind of positional optimal strategies, the f-strategies. The running time is O( |VR|! · (log(|V |)|E| + |p|) ), where |V |, |VR|, |E| and |p| are respectively the number of vertices, random vertices and edges, and the maximum bit-length of a transition probability. Our… CONTINUE READING

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