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arXiv · 1603.06650

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·Li-Liang Wang
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Abstract

By incorporating a multilayer network and time-decaying memory into the original voter model, the coupled effects of spatial and temporal cumulation of peer pressure on consensus are investigated. Heterogeneity in peer pressure and time-decaying mechanism are both found to be detrimental to consensus. The transition points, below which a consensus can always be reached and above which two opposed opinions are more likely to coexist, are found. A 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. A functional relation between the consensus threshold and the decaying rate of the influence of peer pressure is found. As to the time to reach a consensus, it is governed by the coupling of the memory length and the decaying rate. An intermediate decaying rate may lead to much lower time to reach a consensus.

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Li-Xin Zhong, Wen-Juan Xu, Rong-Da Chen, Chen-Yang Zhong, Tian Qiu, Yong-Dong Shi, Li-Liang Wang. 2016-03-22. A generalized voter model with time-decaying memory on a multilayer network. https://doi.org/10.1016/j.physa.2016.03.089

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