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Characterization of complexity within the sociological interpretation hasresulted in a large number of notions, which are relevant in differentsituations. From the statistical mechanics point of view, these notionsresemble entropy. In a recent work, intriguing non-monotonous properties wereobserved in an opinion dynamics Sznajd model. These properties were found to beconsequences of the hierarchical organization assumed for the system, thoughtheir nature remained unexplained. In the present work we bring an unifiedentropical framework that provides a deeper understanding of those systemfeatures. By perfoming numerical simulations, the system track probabilisticdependence on the initial structures is quantified in terms of entropy. Severalentropical regimes are unveiled. The myriad of possible system outputs isenhanced within a maximum impredictability regime. A mutual structural weaknessof the initial parties could be associated to this regime, fostering theemergence of a third position.

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