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

Author

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

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.

Suggested Citation

  • Zhong, Li-Xin & Xu, Wen-Juan & Chen, Rong-Da & Zhong, Chen-Yang & Qiu, Tian & Shi, Yong-Dong & Wang, Li-Liang, 2016. "A generalized voter model with time-decaying memory on a multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 95-105.
    • Handle: RePEc:eee:phsmap:v:458:y:2016:i:c:p:95-105
    DOI: 10.1016/j.physa.2016.03.089
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    Cited by:

    1. Hai-Bo Hu & Cang-Hai Li & Qing-Ying Miao, 2017. "Opinion Diffusion On Multilayer Social Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(06n07), pages 1-25, September.
    2. Jędrzejewski, Arkadiusz & Sznajd-Weron, Katarzyna, 2018. "Impact of memory on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 306-315.

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