License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSTTCS.2014.365
URN: urn:nbn:de:0030-drops-48569
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2014/4856/
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Hunter, Paul ; Raskin, Jean-Francois

Quantitative Games with Interval Objectives

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Abstract

Traditionally quantitative games such as mean-payoff games and discount sum games have two players - one trying to maximize the payoff, the other trying to minimize it. The associated decision problem, "Can Eve (the maximizer) achieve, for example, a positive payoff?" can be thought of as one player trying to attain a payoff in the interval (0,infinity). In this paper we consider the more general problem of determining if a player can attain a payoff in a finite union of arbitrary intervals for various payoff functions (liminf/limsup, mean-payoff, discount sum, total sum). In particular this includes the interesting exact-value problem, "Can Eve achieve a payoff of exactly (e.g.) 0?"

BibTeX - Entry

@InProceedings{hunter_et_al:LIPIcs:2014:4856,
  author =	{Paul Hunter and Jean-Francois Raskin},
  title =	{{Quantitative Games with Interval Objectives}},
  booktitle =	{34th International Conference on Foundation of Software Technology and Theoretical Computer Science (FSTTCS 2014)},
  pages =	{365--377},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-77-4},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{29},
  editor =	{Venkatesh Raman and S. P. Suresh},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2014/4856},
  URN =		{urn:nbn:de:0030-drops-48569},
  doi =		{10.4230/LIPIcs.FSTTCS.2014.365},
  annote =	{Keywords: Quantitative games, Mean-payoff games, Discount sum games}
}

Keywords: Quantitative games, Mean-payoff games, Discount sum games
Collection: 34th International Conference on Foundation of Software Technology and Theoretical Computer Science (FSTTCS 2014)
Issue Date: 2014
Date of publication: 12.12.2014

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