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URN: urn:nbn:de:0030-drops-23077
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### Continuous-Time Stochastic Games with Time-Bounded Reachability

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### Abstract

We study continuous-time stochastic games with time-bounded reachability objectives. We show that each vertex in such a game has a \emph{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 $\varepsilon$-optimal strategies in finitely-branching games with bounded rates (for finite games, we provide detailed complexity estimations).

### BibTeX - Entry

@InProceedings{brazdil_et_al:LIPIcs:2009:2307,
author =	{Tomas Brazdil and Vojtech Forejt and Jan Krcal and Jan Kretinsky and Antonin Kucera},
title =	{{Continuous-Time Stochastic Games with Time-Bounded Reachability}},
booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
pages =	{61--72},
series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN =	{978-3-939897-13-2},
ISSN =	{1868-8969},
year =	{2009},
volume =	{4},
editor =	{Ravi Kannan and K. Narayan Kumar},
publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},