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Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs

Author

Listed:
  • Benjamini, Itai
  • Chan, Siu-On
  • O’Donnell, Ryan
  • Tamuz, Omer
  • Tan, Li-Yang

Abstract

In majority dynamics, agents located at the vertices of an undirected simple graph update their binary opinions synchronously by adopting those of the majority of their neighbors.

Suggested Citation

  • Benjamini, Itai & Chan, Siu-On & O’Donnell, Ryan & Tamuz, Omer & Tan, Li-Yang, 2016. "Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs," Stochastic Processes and their Applications, Elsevier, vol. 126(9), pages 2719-2733.
    • Handle: RePEc:eee:spapps:v:126:y:2016:i:9:p:2719-2733
    DOI: 10.1016/j.spa.2016.02.015
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    Cited by:

    1. Berkowitz, Ross & Devlin, Pat, 2022. "Central limit theorem for majority dynamics: Bribing three voters suffices," Stochastic Processes and their Applications, Elsevier, vol. 146(C), pages 187-206.
    2. Chellig, Jordan & Durbac, Calina & Fountoulakis, Nikolaos, 2022. "Best response dynamics on random graphs," Games and Economic Behavior, Elsevier, vol. 131(C), pages 141-170.
    3. Syngjoo Choi & Sanjeev Goyal & Frederic Moisan & Yu Yang Tony To, 2023. "Learning in Networks: An Experiment on Large Networks with Real-World Features," Management Science, INFORMS, vol. 69(5), pages 2778-2787, May.
    4. Amir, Gideon & Baldasso, Rangel & Beilin, Nissan, 2023. "Majority dynamics and the median process: Connections, convergence and some new conjectures," Stochastic Processes and their Applications, Elsevier, vol. 155(C), pages 437-458.

    More about this item

    Keywords

    Majority dynamics; Random graphs;

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