A generalized voter model with time-decaying memory on a multilayer network

Li-Xin Zhong, Wen-Juan Xu, Rong-Da Chen, Chen-Yang Zhong, Tian Qiu, Yong-Dong Shi and Li-Liang Wang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 458, issue C, 95-105

Abstract: By incorporating a multilayer network and time-decaying memory into the original voter model, we investigate the coupled effects of spatial and temporal accumulation of peer pressure on the consensus. Heterogeneity in peer pressure and the time-decaying mechanism are both shown to be detrimental to the consensus. We find the transition points below which a consensus can always be reached and above which two opposed opinions are more likely to coexist. Our mean-field analysis indicates that the phase transitions in the present model are governed by the cumulative influence of peer pressure and the updating threshold. We find a functional relation between the consensus threshold and the decay rate of the influence of peer is found. As to the pressure. The time required to reach a consensus is governed by the coupling of the memory length and the decay rate. An intermediate decay rate may greatly reduce the time required to reach a consensus.

Keywords: Multilayer network; Peer pressure; Time ​decay; Voter model (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:458:y:2016:i:c:p:95-105

DOI: 10.1016/j.physa.2016.03.089

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