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Phase transitions as a persistent feature of groups with leaders in models of opinion formation

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  • Kacperski, Krzysztof
  • Hołyst, Janusz A.

Abstract

A class of models of opinion formation based on the concept of cellular automata and the theory of social impact is studied, in particular the case when a strong leader and external impact are present. The rapid changes of the opinion distribution with a continuous change of a system parameter, which was previously observed for the model with geometric structure, prove to be present also for much larger class of mutual interaction architectures. We study random connections with different probability distributions. The theoretical results obtained in the framework of mean field approximation are confirmed by the numerical simulations of the model.

Suggested Citation

  • Kacperski, Krzysztof & Hołyst, Janusz A., 2000. "Phase transitions as a persistent feature of groups with leaders in models of opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 631-643.
    • Handle: RePEc:eee:phsmap:v:287:y:2000:i:3:p:631-643
    DOI: 10.1016/S0378-4371(00)00398-8
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    Citations

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    Cited by:

    1. Zhu, Zhiguo, 2013. "Discovering the influential users oriented to viral marketing based on online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3459-3469.
    2. Cheng, Zhichao & Xiong, Yang & Xu, Yiwen, 2016. "An opinion diffusion model with decision-making groups: The influence of the opinion’s acceptability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 429-438.
    3. Kalinowska, Zuzanna & Dybiec, Bartłomiej, 2023. "Weighted Axelrod model: Different but similar," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    4. Pawel Sobkowicz, 2011. "Simulations of opinion changes in scientific communities," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(2), pages 233-250, May.
    5. Piotr Przybyła & Katarzyna Sznajd-Weron & Rafał Weron, 2014. "Diffusion Of Innovation Within An Agent-Based Model: Spinsons, Independence And Advertising," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 1-22.
    6. Yue Chen & Xiaojian Niu & Yan Zhang, 2019. "Exploring Contrarian Degree in the Trading Behavior of China's Stock Market," Complexity, Hindawi, vol. 2019, pages 1-12, April.
    7. Wu, Jinshan & Di, Zengru & Yang, Zhanru, 2003. "Division of labor as the result of phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 663-676.
    8. Schweitzer, Frank & Zimmermann, Jörg & Mühlenbein, Heinz, 2002. "Coordination of decisions in a spatial agent model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 189-216.
    9. Gary Mckeown & Noel Sheehy, 2006. "Mass Media and Polarisation Processes in the Bounded Confidence Model of Opinion Dynamics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 9(1), pages 1-11.
    10. Bernardes, Américo T. & Ribeiro, Leonardo Costa, 2021. "Information, opinion and pandemic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    11. Małgorzata J Krawczyk & Krzysztof Kułakowski & Janusz A Hołyst, 2018. "Hierarchical partitions of social networks between rivaling leaders," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-13, March.
    12. Grabowski, A. & Kosiński, R.A., 2006. "Ising-based model of opinion formation in a complex network of interpersonal interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 651-664.

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