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Effects Of Heterogeneous Influence Of Individuals On The Global Consensus

Author

Listed:
  • YING-TING LIN

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

  • HAN-XIN YANG

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

  • ZHI-HAI RONG

    (Department of Automation, Donghua University, Shanghai 201620, P. R. China)

  • BING-HONG WANG

    (Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China;
    Research Center of Complex Systems Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China)

Abstract

We propose an opinion dynamics model to study the effects of heterogeneous influence of individuals on the global consensus. Each individual is assigned a weight that is proportional to the power of its degree, where the power exponent α is an adjustable parameter. Interestingly, it is found that there exists an optimal value of α leading to the shortest consensus time for scale-free networks, random networks and small-world networks. Other quantities, such as the probability that an individual's initial opinion becomes the final opinion as a function of degree, the evolution of the number of opinion clusters, as well as the relationship between average consensus time and the network size, are also studied. Our results are helpful for understanding the role of heterogeneous influence in the opinion dynamics.

Suggested Citation

  • Ying-Ting Lin & Han-Xin Yang & Zhi-Hai Rong & Bing-Hong Wang, 2010. "Effects Of Heterogeneous Influence Of Individuals On The Global Consensus," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(08), pages 1011-1019.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:08:n:s0129183110015622
    DOI: 10.1142/S0129183110015622
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