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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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    as
    1. Fortunato, Santo, 2005. "Damage spreading and opinion dynamics on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 683-690.
    2. Frank Schweitzer & Laxmidar Behera, 2012. "Optimal Migration Promotes The Outbreak Of Cooperation In Heterogeneous Populations," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-27.
    3. Patrick Groeber & Frank Schweitzer & Kerstin Press, 2009. "How Groups Can Foster Consensus: The Case of Local Cultures," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(2), pages 1-4.
    4. Elad Schneidman & Michael J. Berry & Ronen Segev & William Bialek, 2006. "Weak pairwise correlations imply strongly correlated network states in a neural population," Nature, Nature, vol. 440(7087), pages 1007-1012, April.
    5. Blattner, Marcel & Zhang, Yi-Cheng & Maslov, Sergei, 2007. "Exploring an opinion network for taste prediction: An empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 753-758.
    6. Shi, Yong-Dong & Zhong, Li-Xin & Xu, Wen-Juan, 2013. "Effects of group sensitivity on cooperation in N-person snowdrift game with dynamic grouping," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 132-138.
    7. Wei-Xing Zhou, 2012. "Universal price impact functions of individual trades in an order-driven market," Quantitative Finance, Taylor & Francis Journals, vol. 12(8), pages 1253-1263, June.
    8. Li-Xin Zhong & Wen-Juan Xu & Ping Huang & Chen-Yang Zhong & Tian Qiu, 2013. "Self-organization and phase transition in financial markets with multiple choices," Papers 1312.0690, arXiv.org, revised Jun 2014.
    9. Martin Rosvall & Alcides V. Esquivel & Andrea Lancichinetti & Jevin D. West & Renaud Lambiotte, 2014. "Memory in network flows and its effects on spreading dynamics and community detection," Nature Communications, Nature, vol. 5(1), pages 1-13, December.
    10. Zhong, Li-Xin & Xu, Wen-Juan & Chen, Rong-Da & Qiu, Tian & Shi, Yong-Dong & Zhong, Chen-Yang, 2015. "Coupled effects of local movement and global interaction on contagion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 482-491.
    11. Wen-Juan Xu & Li-Xin Zhong & Ping Huang & Tian Qiu & Yong-Dong Shi & Chen-Yang Zhong, 2015. "Evolutionary Dynamics In Opinion Formation Model With Coupling Of Social Communities," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 18(01n02), pages 1-16.
    12. Hadzibeganovic, T. & Stauffer, D. & Schulze, C., 2008. "Boundary effects in a three-state modified voter model for languages," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3242-3252.
    13. W.-X. Zhou & D. Sornette, 2007. "Self-organizing Ising model of financial markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(2), pages 175-181, January.
    14. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    15. Peng Bao & Hua-Wei Shen & Wei Chen & Xue-Qi Cheng, 2013. "Cumulative Effect in Information Diffusion: Empirical Study on a Microblogging Network," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-7, October.
    16. Xi-Yuan Qian & Ya-Min Liu & Zhi-Qiang Jiang & Boris Podobnik & Wei-Xing Zhou & H. Eugene Stanley, 2015. "Detrended partial cross-correlation analysis of two nonstationary time series influenced by common external forces," Papers 1504.02435, arXiv.org, revised Apr 2015.
    17. Havlin, Shlomo & Stanley, H. Eugene & Bashan, Amir & Gao, Jianxi & Kenett, Dror Y., 2015. "Percolation of interdependent network of networks," Chaos, Solitons & Fractals, Elsevier, vol. 72(C), pages 4-19.
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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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