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