Time to consensus

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

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 9, 2302-2310

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.

Keywords: Networks; Criticality; First passage time; Complex systems; Decision-making (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:9:p:2302-2310

DOI: 10.1016/j.physa.2013.01.037

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