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.CONCUR.2019.21
URN: urn:nbn:de:0030-drops-109239
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10923/
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Bruyère, Véronique ; Hautem, Quentin ; Randour, Mickael ; Raskin, Jean-François

Energy Mean-Payoff Games

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LIPIcs-CONCUR-2019-21.pdf (0.6 MB)

Abstract

In this paper, we study one-player and two-player energy mean-payoff games. Energy mean-payoff games are games of infinite duration played on a finite graph with edges labeled by 2-dimensional weight vectors. The objective of the first player (the protagonist) is to satisfy an energy objective on the first dimension and a mean-payoff objective on the second dimension. We show that optimal strategies for the first player may require infinite memory while optimal strategies for the second player (the antagonist) do not require memory. In the one-player case (where only the first player has choices), the problem of deciding who is the winner can be solved in polynomial time while for the two-player case we show co-NP membership and we give effective constructions for the infinite-memory optimal strategies of the protagonist.

BibTeX - Entry

@InProceedings{bruyre_et_al:LIPIcs:2019:10923,
  author =	{V{\'e}ronique Bruy{\`e}re and Quentin Hautem and Mickael Randour and Jean-Fran{\c{c}}ois Raskin},
  title =	{{Energy Mean-Payoff Games}},
  booktitle =	{30th International Conference on Concurrency Theory (CONCUR 2019)},
  pages =	{21:1--21:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-121-4},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{140},
  editor =	{Wan Fokkink and Rob van Glabbeek},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10923},
  URN =		{urn:nbn:de:0030-drops-109239},
  doi =		{10.4230/LIPIcs.CONCUR.2019.21},
  annote =	{Keywords: two-player zero-sum games played on graphs, energy and mean-payoff objectives, complexity study and construction of optimal strategies}
}

Keywords: two-player zero-sum games played on graphs, energy and mean-payoff objectives, complexity study and construction of optimal strategies
Collection: 30th International Conference on Concurrency Theory (CONCUR 2019)
Issue Date: 2019
Date of publication: 20.08.2019

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