Technical Reports

The report FIMU-RS-2009-09

Continuous-Time Stochastic Games with Time-Bounded Reachability

by Tomá¹ Brázdil, Vojtìch Forejt, Jan Krèál, Jan Køetínský, Antonín Kuèera, A full version of the paper presented at FST&TCS 2009. October 2009, 46 pages.

FIMU-RS-2009-09. Available as Postscript, PDF.

Abstract:

We study continuous-time stochastic games with time-bounded reachability objectives. 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. Finally, we show how to compute optimal strategies in finite uniform games, and how to compute e-optimal strategies in finitely-branching games with bounded rates (for finite games, we provide detailed complexity estimations).