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Opinion Spreading And Consensus Formation On Square Lattice

Author

Listed:
  • JIAN-GUO LIU

    (Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China)

  • ZHI-XI WU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, P. R. China)

  • FENG WANG

    (Department of Computer Science, Wuhan University, Wuhan 430072, P. R. China)

Abstract

In this paper, we study a model of opinion spreading and consensus formation on a square lattice. Given a two-dimensional square lattice with periodic boundary condition, a total fractionpof the sites are occupied by agents. We take into account the drift ability of the focal agents whose opinions' difference is too large. The dynamics of the model is governed by the following two rules. At each time step, the agents (or individuals) can exchange their opinions with those of their neighbors if the difference between them is smaller than the "bounded confidence" ∊; Otherwise, one can move to a vacancy location if permitted (i.e., there are any empty sites existing among the focal agent's neighborhood). The distribution of opinions over the population evolves toward either a consensus state that all individuals share the same opinion or polarization and fragmentation states where two or more opinions can coexist. The statistical properties of this final state vary considerably as the parameterspand ∊ change. It is shown that, when dispersal abilities of the individuals are considered, the bounded confidence which is required to attain consensus can be remarkably decreased.

Suggested Citation

  • Jian-Guo Liu & Zhi-Xi Wu & Feng Wang, 2007. "Opinion Spreading And Consensus Formation On Square Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1087-1094.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:07:n:s0129183107011145
    DOI: 10.1142/S0129183107011145
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    Cited by:

    1. Zhong, Lin-Feng & Shang, Ming-Sheng & Chen, Xiao-Long & Cai, Shi-Ming, 2018. "Identifying the influential nodes via eigen-centrality from the differences and similarities of structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 77-82.
    2. Wang, Zi-Yi & Han, Jing-Ti & Zhao, Jun, 2017. "Identifying node spreading influence for tunable clustering coefficient networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 242-250.
    3. Liu, Jian-Guo & Ren, Zhuo-Ming & Guo, Qiang, 2013. "Ranking the spreading influence in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4154-4159.
    4. Yeruva, Sujatha & Devi, T. & Reddy, Y. Samtha, 2016. "Selection of influential spreaders in complex networks using Pareto Shell decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 452(C), pages 133-144.

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