Brief Announcement: Phase Transitions of the k-Majority Dynamics in a Biased Communication Model

Authors Emilio Cruciani , Hlafo Alfie Mimun , Matteo Quattropani , Sara Rizzo

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Author Details

Emilio Cruciani
  • Inria, I3S Lab, Université Côte d'Azur, CNRS, Valbonne, France
Hlafo Alfie Mimun
  • Department of Economics and Finance, LUISS, Roma, Italy
Matteo Quattropani
  • Department of Economics and Finance, LUISS, Roma, Italy
Sara Rizzo
  • Gran Sasso Science Institute, L'Aquila, Italy

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Emilio Cruciani, Hlafo Alfie Mimun, Matteo Quattropani, and Sara Rizzo. Brief Announcement: Phase Transitions of the k-Majority Dynamics in a Biased Communication Model. In 34th International Symposium on Distributed Computing (DISC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 179, pp. 42:1-42:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


We analyze the binary-state (either ℛ or ℬ) k-majority dynamics in a biased communication model where nodes have some fixed probability p, independent of the dynamics, of being seen in state ℬ by their neighbors. In this setting we study how p, as well as the initial unbalance between the two states, impact on the speed of convergence of the process, identifying sharp phase transitions.

Subject Classification

ACM Subject Classification
  • Theory of computation → Random walks and Markov chains
  • Theory of computation → Distributed algorithms
  • Mathematics of computing → Probabilistic algorithms
  • Mathematics of computing → Markov processes
  • Biased Communication
  • Consensus
  • Majority Dynamics
  • Markov Chains
  • Metastability


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