Entropical Analysis of an Opinion Formation Model Presenting a Spontaneous Third Position Emergence

REVELLI, JORGE A. ; GAUDIANO, MARCOS E.

Otro; Revista PHYSICA A; 2019

Characterization of complexity within the sociological interpretation has resulted in a large number of notions, whichare 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. Theseproperties were found to be consequences of the hierarchical organization assumed for the system, though their natureremained unexplained. In the present work we bring an unified entropical framework that provides a deeper understand-ing of those system features.By perfoming numerical simulations, the system track probabilistic dependence on the initial structures is quantified interms of entropy. Several entropical regimes are unveiled. The myriad of possible system outputs is enhanced within amaximum impredictability regime. A mutual structural weakness of the initial parties could be associated to this regime,fostering the emergence of a third position.