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.FUN.2018.17
URN: urn:nbn:de:0030-drops-88082
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de Haan, Ronald ; Wolf, Petra

Restricted Power - Computational Complexity Results for Strategic Defense Games

LIPIcs-FUN-2018-17.pdf (0.5 MB)


We study the game Greedy Spiders, a two-player strategic defense game, on planar graphs and show PSPACE-completeness for the problem of deciding whether one player has a winning strategy for a given instance of the game. We also generalize our results in metatheorems, which consider a large set of strategic defense games. We achieve more detailed complexity results by restricting the possible strategies of one of the players, which leads us to Sigma^p_2- and Pi^p_2-hardness results.

BibTeX - Entry

  author =	{Ronald de Haan and Petra Wolf},
  title =	{{Restricted Power - Computational Complexity Results for Strategic Defense Games}},
  booktitle =	{9th International Conference on Fun with Algorithms (FUN 2018)},
  pages =	{17:1--17:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-067-5},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{100},
  editor =	{Hiro Ito and Stefano Leonardi and Linda Pagli and Giuseppe Prencipe},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-88082},
  doi =		{10.4230/LIPIcs.FUN.2018.17},
  annote =	{Keywords: Computational complexity, generalized games, metatheorems}

Keywords: Computational complexity, generalized games, metatheorems
Collection: 9th International Conference on Fun with Algorithms (FUN 2018)
Issue Date: 2018
Date of publication: 04.06.2018

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