Title
Simple stochastic games with few random vertices are easy to solve
Abstract
We present a new algorithm for solving Simple Stochastic Games (SSGs). 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|! ċ (|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 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
10.1007/978-3-540-78499-9_2
FoSSaCS
Keywords
Field
DocType
simple stochastic games,exhaustive search,quadratic programming,maximum bit-length,random vertex,new algorithm,simple stochastic game,positional optimal strategy,transition probability,special kind,quadratic program
Discrete mathematics,Combinatorics,Vertex (geometry),Brute-force search,Computer science,Markov chain,Quadratic programming,Stochastic game
Conference
Volume
ISSN
ISBN
4962
0302-9743
3-540-78497-7
Citations 
PageRank 
References 
15
0.92
9
Authors
2
Name
Order
Citations
PageRank
Hugo Gimbert124921.31
Florian Horn2536.57