Effects of free will and massive opinion in majority rule model

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dc.creatorWu, Zhi-Xi
dc.creatorChen, Guanrong
dc.date2008-07-29
dc.date.accessioned2026-07-07T09:53:28Z
dc.date.available2026-07-07T09:53:28Z
dc.descriptionWe study the effects of free will and massive opinion of multi-agents in a majority rule model wherein the competition of the two types of opinions is taken into account. To address this issue, we consider two specific models (model I and model II) involving different opinion-updating dynamics. During the opinion-updating process, the agents either interact with their neighbors under a majority rule with probability $1-q$, or make their own decisions with free will (model I) or according to the massive opinion (model II) with probability $q$. We investigate the difference of the average numbers of the two opinions as a function of $q$ in the steady state. We find that the location of the order-disorder phase transition point may be shifted according to the involved dynamics, giving rise to either smooth or harsh conditions to achieve an ordered state. For the practical case with a finite population size, we conclude that there always exists a threshold for $q$ below which a full consensus phase emerges. Our analytical estimations are in good agreement with simulation results.
dc.description10 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0807.4583
dc.identifierhttp://arxiv.org/abs/0807.4583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165963
dc.subjectPhysics and Society
dc.subjectGeneral Physics
dc.titleEffects of free will and massive opinion in majority rule model
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