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DOI: 10.4230/LIPIcs.FSTTCS.2016.42
URN: urn:nbn:de:0030-drops-68772
URL: http://drops.dagstuhl.de/opus/volltexte/2016/6877/
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Brenguier, Romain ; Pérez, Guillermo A. ; Raskin, Jean-Francois ; Sankur, Ocan

Admissibility in Quantitative Graph Games

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Abstract

Admissibility has been studied for games of infinite duration with Boolean objectives. We extend here this study to games of infinite duration with quantitative objectives. First, we show that, under the assumption that optimal worst-case and cooperative strategies exist, admissible strategies are guaranteed to exist. Second, we give a characterization of admissible strategies using the notion of adversarial and cooperative values of a history, and we characterize the set of outcomes that are compatible with admissible strategies. Finally, we show how these characterizations can be used to design algorithms to decide relevant verification and synthesis problems.

BibTeX - Entry

@InProceedings{brenguier_et_al:LIPIcs:2016:6877,
  author =	{Romain Brenguier and Guillermo A. P{\'e}rez and Jean-Francois Raskin and Ocan Sankur},
  title =	{{Admissibility in Quantitative Graph Games}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{42:1--42:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Akash Lal and S. Akshay and Saket Saurabh and Sandeep Sen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6877},
  URN =		{urn:nbn:de:0030-drops-68772},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.42},
  annote =	{Keywords: Quantitative games, Verification, Reactive synthesis, Admissibility}
}

Keywords: Quantitative games, Verification, Reactive synthesis, Admissibility
Seminar: 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)
Issue Date: 2016
Date of publication: 08.12.2016


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