  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 an unified
entropical framework that provides a deeper understanding of those system
features. By perfoming 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 to this regime, fostering the
emergence of a third position.
