Freezing period strongly impacts the emergence of a global consensus in the voter model

Zhen Wang; Yi Liu; Lin Wang; Yan Zhang

doi:10.1038/srep03597

Freezing period strongly impacts the emergence of a global consensus in the voter model

Zhen Wang
, Yi Liu
, Lin Wang
, Yan Zhang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

46 Citations (Scopus)

Abstract

It is well known that human beings do not always change opinions or attitudes, since the duration of interaction with others usually has a significant impact on one's decision-making. Based on this observation, we introduce a freezing period into the voter model, in which the frozen individuals have a weakened opinion switching ability. We unfold the presence of an optimal freezing period, which leads to the fastest consensus, using computation simulations as well as theoretical analysis. We demonstrate that the essence of an accelerated consensus is attributed to the biased random walk of the interface between adjacent opinion clusters. The emergence of an optimal freezing period is robust against the size of the system and the number of distinct opinions. This study is instructive for understanding human collective behavior in other relevant fields.

Original language	English
Article number	3597
Journal	Scientific Reports
Volume	4
DOIs	https://doi.org/10.1038/srep03597
Publication status	Published - 8 Jan 2014
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

This work was partly supported by the National Natural Science Foundation of China (No.71203017, No.61272173, No.61374169), the Key Project of National Social Science Foundation of China (No.12AGL010), and the Fundamental Research Funds for Central Universities (No.DUT12JR08, No.DUT13LK38). L.W. also acknowledges the partial support by Fudan University Excellent Doctoral Research Program (985 Project).

Publisher's Copyright Statement

This full text is made available under CC-BY-NC-ND 3.0. https://creativecommons.org/licenses/by-nc-nd/3.0/

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Freezing period strongly impacts the emergence of a global consensus in the voter model

Abstract

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