Title
Solving Simple Stochastic Games
Abstract
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 , where and are respectively the number of vertices, random vertices and edges, and the maximum bit-length of a transition probability. Our algorithm improves existing algorithms for solving SSGs in three aspects. First, our algorithm performs well on SSGs with few random vertices, second it does not rely on linear or quadratic programming, third it applies to all SSGs, not only stopping SSGs.
Year
DOI
Venue
2008
10.1007/978-3-540-69407-6_24
CiE
Keywords
Field
DocType
simple stochastic games,exhaustive search,quadratic programming,maximum bit-length,random vertex,new algorithm,positional optimal strategy,transition probability,special kind,parameter tractable,quadratic program
Discrete mathematics,Combinatorics,Vertex (geometry),Parametrization,Brute-force search,Computer science,Markov decision process,Quadratic programming,Stochastic game
Conference
Volume
ISSN
Citations 
5028
0302-9743
3
PageRank 
References 
Authors
0.52
7
2
Name
Order
Citations
PageRank
Hugo Gimbert124921.31
Florian Horn2536.57