Probabilistic local majority voting for the agreement problem on finite graphs

Toshio Nakata, Hiroshi Imahayashi, Masafumi Yamashita

Research output: Chapter in Book/Report/Conference proceedingConference contribution

15 Citations (Scopus)

Abstract

Motivated by the study of the deterministic local majority polling game by Peleg et al., this paper investigates a repetitive proba- bilistic local majority polling game on a finite connected graph by for- mulating it as a Markov chain. We mainly investigate the probability that the system reaches a given absorbing state and characterize when the probability attains the maximum (and minimum).

Original languageEnglish
Title of host publicationComputing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings
EditorsShin-ichi Nakano, Hideki Imai, D.T. Lee, Takeshi Tokuyama, Takao Asano
PublisherSpringer Verlag
Pages330-338
Number of pages9
ISBN (Print)3540662006, 9783540662006
DOIs
Publication statusPublished - Jan 1 1999
Event5th Annual International Conference on Computing and Combinatorics, COCOON 1999 - Tokyo, Japan
Duration: Jul 26 1999Jul 28 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1627
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th Annual International Conference on Computing and Combinatorics, COCOON 1999
CountryJapan
CityTokyo
Period7/26/997/28/99

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Nakata, T., Imahayashi, H., & Yamashita, M. (1999). Probabilistic local majority voting for the agreement problem on finite graphs. In S. Nakano, H. Imai, D. T. Lee, T. Tokuyama, & T. Asano (Eds.), Computing and Combinatorics - 5th Annual International Conference, COCOON 1999, Proceedings (pp. 330-338). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1627). Springer Verlag. https://doi.org/10.1007/3-540-48686-0_33