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.STACS.2017.13
URN: urn:nbn:de:0030-drops-70200
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7020/
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Bilò, Vittorio ; Mavronicolas, Marios

Existential-R-Complete Decision Problems about Symmetric Nash Equilibria in Symmetric Multi-Player Games

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Abstract

We study the complexity of decision problems about symmetric Nash equilibria for symmetric multi-player games. These decision problems concern the existence of a symmetric Nash equilibrium with certain natural properties. We show that a handful of such decision problems are Existential-R-complete; that is, they are exactly as hard as deciding the Existential Theory of the Reals.

BibTeX - Entry

@InProceedings{bil_et_al:LIPIcs:2017:7020,
  author =	{Vittorio Bil{\`o} and Marios Mavronicolas},
  title =	{{Existential-R-Complete Decision Problems about Symmetric Nash Equilibria in Symmetric Multi-Player Games}},
  booktitle =	{34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)},
  pages =	{13:1--13:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-028-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{66},
  editor =	{Heribert Vollmer and Brigitte Vallée},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7020},
  URN =		{urn:nbn:de:0030-drops-70200},
  doi =		{10.4230/LIPIcs.STACS.2017.13},
  annote =	{Keywords: Nash equilibrium, complexity of equilibria, ExistentialR-completeness}
}

Keywords: Nash equilibrium, complexity of equilibria, ExistentialR-completeness
Collection: 34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)
Issue Date: 2017
Date of publication: 06.03.2017

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