Majority networks and consensus dynamics

Eric Goles, Pablo Medina, Pedro Montealegre, Julio Santivañez

Research output: Contribution to journalArticlepeer-review

Abstract

Consensus is an emergent property of many complex systems, considering this as an absolute majority phenomenon. In this work we study consensus dynamics in grids (in silicon), where individuals (the vertices) with two possible opinions (binary states) interact with the eight nearest neighbors (Moore's neighborhood). Dynamics emerge once the majority rule drives the evolution of the system. In this work, we fully characterize the sub-neighborhoods on which the consensus may be reached or not. Given this, we study the quality of the consensus proposing two new measures, namely effectiveness and efficiency. We characterize attraction basins through the energy-like and magnetization-like functions similar to the Ising spin model.

Original languageEnglish
Article number112697
JournalChaos, Solitons and Fractals
Volume164
DOIs
StatePublished - Nov 2022
Externally publishedYes

Keywords

  • Asynchronous iteration
  • Cellular automata
  • Consensus
  • Fixed points
  • Grids

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