https://doi.org/10.1140/epjb/s10051-021-00098-8
Regular Article – Statistical and Nonlinear Physics
Entropical analysis of an opinion formation model presenting a spontaneous third position emergence
1
Centro de Investigación y Estudios de Matemática, Consejo Nacional de Investigaciones Científicas y Técnicas, Córdoba, Argentina
2
Instituto de Física Enrique Gaviola, Consejo Nacional de Investigaciones Científicas y Técnicas, Córdoba, Argentina
3
Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, Av. Medina Allende s/n , Ciudad Universitaria, X5000HUA, Córdoba, Argentina
Received:
10
February
2021
Accepted:
6
April
2021
Published online:
28
April
2021
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021