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DOI: 10.4230/LIPIcs.FSTTCS.2009.2307
URN: urn:nbn:de:0030-drops-23077
URL: http://drops.dagstuhl.de/opus/volltexte/2009/2307/
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Brazdil, Tomas ; Forejt, Vojtech ; Krcal, Jan ; Kretinsky, Jan ; Kucera, Antonin

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},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2307},
  URN =		{urn:nbn:de:0030-drops-23077},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2009.2307},
  annote =	{Keywords: Continuous time stochastic systems, time bounded reachability, stochastic games}
}

Keywords: Continuous time stochastic systems, time bounded reachability, stochastic games
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science
Issue Date: 2009
Date of publication: 14.12.2009


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