Title
Continuous-time stochastic games with time-bounded reachability
Abstract
We study continuous-time stochastic games with time-bounded reachability objectives and time-abstract strategies. We show that each vertex in such a game has a value (i.e., an equilibrium probability), and we classify the conditions under which optimal strategies exist. Further, we show how to compute @e-optimal strategies in finite games and provide detailed complexity estimations. Moreover, we show how to compute @e-optimal strategies in infinite games with finite branching and bounded rates where the bound as well as the successors of a given state are effectively computable. Finally, we show how to compute optimal strategies in finite uniform games.
Year
DOI
Venue
2013
10.1016/j.ic.2013.01.001
Information & Computation
Keywords
Field
DocType
bounded rate,continuous-time stochastic game,detailed complexity estimation,time-abstract strategy,finite uniform game,e-optimal strategy,infinite game,time-bounded reachability,finite game,optimal strategy,equilibrium probability,reachability
Discrete mathematics,Combinatorics,Vertex (geometry),Reachability,Mathematics,Bounded function
Journal
Volume
ISSN
Citations 
224,
0890-5401
13
PageRank 
References 
Authors
0.66
13
5
Name
Order
Citations
PageRank
Tomáš Brázdil119413.11
Vojtech Forejt230214.69
Jan Krčál3797.45
Jan Křetínský419012.05
Antonín Kučera526218.04