Continuous-Time Stochastic Games with Time-Bounded Reachability

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Authors

BRÁZDIL Tomáš FOREJT Vojtěch KRČÁL Jan KŘETÍNSKÝ Jan KUČERA Antonín

Year of publication 2013
Type Article in Periodical
Magazine / Source Information and Computation
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1016/j.ic.2013.01.001
Field Informatics
Keywords continuous time stochastic systems; time-bounded reachability; stochastic games
Description 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 epsilon-optimal strategies in finite games and provide detailed complexity estimations. Moreover, we show how to compute epsilon-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.
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