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DOI: 10.4230/LIPIcs.ITCS.2021.45

Relaxing Common Belief for Social Networks

Authors: Noah Burrell and Grant Schoenebeck

Published in: LIPIcs, Volume 185, 12th Innovations in Theoretical Computer Science Conference (ITCS 2021)

Abstract

We propose a relaxation of common belief called factional belief that is suitable for the analysis of strategic coordination on social networks. We show how this definition can be used to analyze revolt games on general graphs, including by giving an efficient algorithm that characterizes a structural result about the possible equilibria of such games. This extends prior work on common knowledge and common belief, which has been too restrictive for use in understanding strategic coordination and cooperation in social network settings.

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Noah Burrell and Grant Schoenebeck. Relaxing Common Belief for Social Networks. In 12th Innovations in Theoretical Computer Science Conference (ITCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 185, pp. 45:1-45:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{burrell_et_al:LIPIcs.ITCS.2021.45,
  author =	{Burrell, Noah and Schoenebeck, Grant},
  title =	{{Relaxing Common Belief for Social Networks}},
  booktitle =	{12th Innovations in Theoretical Computer Science Conference (ITCS 2021)},
  pages =	{45:1--45:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-177-1},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{185},
  editor =	{Lee, James R.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2021.45},
  URN =		{urn:nbn:de:0030-drops-135841},
  doi =		{10.4230/LIPIcs.ITCS.2021.45},
  annote =	{Keywords: Social networks, network revolt games, common belief}
}

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Relaxing Common Belief for Social Networks

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