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Majority networks and consensus dynamics

Author

Listed:
  • Goles, Eric
  • Medina, Pablo
  • Montealegre, Pedro
  • Santivañez, Julio

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.

Suggested Citation

  • Goles, Eric & Medina, Pablo & Montealegre, Pedro & Santivañez, Julio, 2022. "Majority networks and consensus dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008761
    DOI: 10.1016/j.chaos.2022.112697
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    References listed on IDEAS

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    1. Vasco Cortez & Pablo Medina & Eric Goles & Roberto Zarama & Sergio Rica, 2015. "Attractors, statistics and fluctuations of the dynamics of the Schelling’s model for social segregation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(1), pages 1-12, January.
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    Cited by:

    1. Gao, Shanshan & Zhang, Shenggui & Chen, Xinzhuang, 2023. "Effects of changing the weights of arcs on the consensus convergence rate of a leader–follower multi-agent system," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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