Title
Solving simple stochastic games with few coin toss positions
Abstract
Gimbert and Horn gave an algorithm for solving simple stochastic games with running time O(r! n) where n is the number of positions of the simple stochastic game and r is the number of its coin toss positions. Chatterjee et al. pointed out that a variant of strategy iteration can be implemented to solve this problem in time 4rnO(1). In this paper, we show that an algorithm combining value iteration with retrograde analysis achieves a time bound of O(r 2r (r logr+n)), thus improving both time bounds. We also improve the analysis of Chatterjee et al. and show that their algorithm in fact has complexity 2rnO(1).
Year
DOI
Venue
2012
10.1007/978-3-642-33090-2_55
european symposium on algorithms
Keywords
DocType
Volume
time bound,time o,value iteration,retrograde analysis,simple stochastic game,strategy iteration
Conference
abs/1112.5255
ISSN
Citations 
PageRank 
0302-9743
5
0.57
References 
Authors
9
2
Name
Order
Citations
PageRank
Rasmus Ibsen-Jensen16912.65
Peter Bro Miltersen2114694.49