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Time to consensus

Author

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  • Hollingshad, Nicholas W.
  • Svenkeson, Adam
  • West, Bruce J.
  • Grigolini, Paolo

Abstract

The dynamics of a two-state decision-making model (DMM) with a tunable control parameter K is described. On all-to-all (ATA) networks, the system undergoes a phase transition at a critical value of Kc=1. Scale-free networks were also found to undergo phase transitions, but the value of Kc increases as the scale-free exponent increases. Time to consensus is defined as a first passage time to a specified threshold of the global mean field, which represents a level of majority for the network. At criticality, the time to consensus for sparse networks with broad degree distributions (e.g., scale-free networks) approaches that of the ATA networks, although somewhat more cooperation (higher Kc) is required.

Suggested Citation

  • Hollingshad, Nicholas W. & Svenkeson, Adam & West, Bruce J. & Grigolini, Paolo, 2013. "Time to consensus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2302-2310.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:9:p:2302-2310
    DOI: 10.1016/j.physa.2013.01.037
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    References listed on IDEAS

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    1. Bianco, Simone & Geneston, Elvis & Grigolini, Paolo & Ignaccolo, Massimiliano, 2008. "Renewal aging as emerging property of phase synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1387-1392.
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    Cited by:

    1. Liu, Xiao Fan & Tse, Chi Kong, 2014. "Impact of degree mixing pattern on consensus formation in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 1-6.

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