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Ising-based model of opinion formation in a complex network of interpersonal interactions

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  • Grabowski, A.
  • Kosiński, R.A.

Abstract

In our work the process of opinion formation in the human population, treated as a scale-free network, is modeled and investigated numerically. The individuals (nodes of the network) are characterized by their authorities, which influence the interpersonal interactions in the population. Hierarchical, two-level structures of interpersonal interactions and spatial localization of individuals are taken into account. The effect of the mass media, modeled as an external stimulation acting on the social network, on the process of opinion formation is investigated. It was found that in the time evolution of opinions of individuals critical phenomena occur. The first one is observed in the critical temperature of the system TC and is connected with the situation in the community, which may be described by such quantifiers as the economic status of people, unemployment or crime wave. Another critical phenomenon is connected with the influence of mass media on the population. As results from our computations, under certain circumstances the mass media can provoke critical rebuilding of opinions in the population.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:361:y:2006:i:2:p:651-664
    DOI: 10.1016/j.physa.2005.06.102
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    Cited by:

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    3. Laciana, Carlos E. & Rovere, Santiago L., 2011. "Ising-like agent-based technology diffusion model: Adoption patterns vs. seeding strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1139-1149.
    4. D. Sornette, 2014. "Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based models," Papers 1404.0243, arXiv.org.
    5. Manfred Füllsack & Simon Plakolb & Georg Jäger, 2021. "Predicting regime shifts in social systems modelled with agent-based methods," Journal of Computational Social Science, Springer, vol. 4(1), pages 163-185, May.
    6. Di Benedetto, Andrea & Wieners, Claudia E. & Dijkstra, Henk A. & Stoof, Henk T.C., 2023. "Media preference increases polarization in an agent-based election model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    7. Li, Tingyu & Zhu, Hengmin, 2020. "Effect of the media on the opinion dynamics in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    8. Snellman, Jan E. & Barrio, Rafael A. & Kaski, Kimmo K., 2021. "Social structure formation in a network of agents playing a hybrid of ultimatum and dictator games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    9. Laciana, Carlos E. & Oteiza-Aguirre, Nicolás, 2014. "An agent based multi-optional model for the diffusion of innovations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 254-265.
    10. Maria Letizia Bertotti & Giovanni Modanese, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Papers 1109.0606, arXiv.org.
    11. Didier SORNETTE, 2014. "Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based Models," Swiss Finance Institute Research Paper Series 14-25, Swiss Finance Institute.
    12. Manfred Füllsack & Daniel Reisinger & Marie Kapeller & Georg Jäger, 2022. "Early warning signals from the periphery," Journal of Computational Social Science, Springer, vol. 5(1), pages 665-685, May.

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