License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
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DOI: 10.4230/LIPIcs.OPODIS.2016.14
URN: urn:nbn:de:0030-drops-70837
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Gasieniec, Leszek ; Hamilton, David ; Martin, Russell ; Spirakis, Paul G. ; Stachowiak, Grzegorz

Deterministic Population Protocols for Exact Majority and Plurality

LIPIcs-OPODIS-2016-14.pdf (0.5 MB)


In this paper we study space-efficient deterministic population protocols for several variants of the majority problem including plurality consensus. We focus on space efficient majority protocols in populations with an arbitrary number of colours C represented by k-bit labels, where k = ceiling (log C). In particular, we present asymptotically space-optimal (with respect to the adopted k-bit representation of colours) protocols for (1) the absolute majority problem, i.e., a protocol which decides whether a single colour dominates all other colours considered together, and (2) the relative majority problem, also known in the literature as plurality consensus, in which colours declare their volume superiority versus other individual colours.

The new population protocols proposed in this paper rely on a dynamic formulation of the majority problem in which the colours originally present in the population can be changed by an external force during the communication process. The considered dynamic formulation is based on the concepts studied by D. Angluin et al. and O. Michail et al. about stabilizing inputs and composition of population protocols. Also, the protocols presented in this paper use a composition of some known protocols for static and dynamic majority.

BibTeX - Entry

  author =	{Leszek Gasieniec and David Hamilton and Russell Martin and Paul G. Spirakis and Grzegorz Stachowiak},
  title =	{{Deterministic Population Protocols for Exact Majority and Plurality}},
  booktitle =	{20th International Conference on Principles of Distributed Systems (OPODIS 2016)},
  pages =	{14:1--14:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-031-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{70},
  editor =	{Panagiota Fatourou and Ernesto Jim{\'e}nez and Fernando Pedone},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-70837},
  doi =		{10.4230/LIPIcs.OPODIS.2016.14},
  annote =	{Keywords: Deterministic population protocols, majority, plurality consenus}

Keywords: Deterministic population protocols, majority, plurality consenus
Collection: 20th International Conference on Principles of Distributed Systems (OPODIS 2016)
Issue Date: 2017
Date of publication: 06.04.2017

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