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Entropical analysis of an opinion formation model presenting a spontaneous third position emergence

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  • Marcos E. Gaudiano

    (Consejo Nacional de Investigaciones Científicas y Técnicas
    Universidad Nacional de Córdoba)

  • Jorge A. Revelli

    (Consejo Nacional de Investigaciones Científicas y Técnicas
    Universidad Nacional de Córdoba)

Abstract

Characterization of complexity within the sociological interpretation has resulted in a large number of notions, which are relevant in different situations. From the statistical mechanics point of view, these notions resemble entropy. In a recent work, intriguing non-monotonous properties were observed in an opinion dynamics Sznajd model. These properties were found to be consequences of the hierarchical organization assumed for the system, though their nature remained unexplained. In the present work, we bring a unified entropical framework that provides a deeper understanding of those system features. By performing numerical simulations, the system track probabilistic dependence on the initial structures is quantified in terms of entropy. Several entropical regimes are unveiled. The myriad of possible system outputs is enhanced within a maximum impredictability regime. A mutual structural weakness of the initial parties could be associated with this regime, fostering the emergence of a third position. Graphic abstract

Suggested Citation

  • Marcos E. Gaudiano & Jorge A. Revelli, 2021. "Entropical analysis of an opinion formation model presenting a spontaneous third position emergence," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(4), pages 1-11, April.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:4:d:10.1140_epjb_s10051-021-00098-8
    DOI: 10.1140/epjb/s10051-021-00098-8
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    Cited by:

    1. Nicolás E. Amado & Marcos E. Gaudiano & Jorge A. Revelli, 2024. "Hidden quantization phenomenon in the sznajd model with initial structure," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-11, October.
    2. Gaudiano, Marcos E. & Revelli, Jorge A., 2022. "On the role of structured initial conditions in the Schelling model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

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