Spontaneous emergence of a third position in an opinion formation model

Gaudiano, Marcos; Revelli, Jorge A.

doi:10.1016/j.physa.2019.01.078

Cited by 5 publications

(24 citation statements)

References 30 publications

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“…dynamics, while Mij =0 corresponds to persons that neither envolve into debates nor ultimately determine the final opinion state of the system. As in [1], we remark that ideas may be connected to individuals or group of people, in a way that it is possible to image the whole system's dynamics as an idea contend. This makes M to be visualized as an ideological map.…”

Section: Introductionmentioning

confidence: 90%

“…A central fact, which can be ubiquitously found in nature, is that systems are often organized forming hierarchical structures [13]. Indeed, this organization may play a determining role in system dynamics [1]. Hierachical structure is usually related to a fractal dimension [2,14,15].…”

Section: Introductionmentioning

confidence: 99%

“…This makes M to be visualized as an ideological map. Figure 1: An example of an ideological map as the ones studied in [1]. This is a pattern composed of yellow (Y ) and light blue (L) pixels representing the active agents, while the rest (i.e.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, it is worth remarking here that Y and L pixels are not randomly distributed. Specifically, they initially adopt hierarchically organized structures, which are characterized by fractal dimensions DY and DL , respectively [1,15]. The meaning associated to fractal dimensions D will be a kind of organization level of the followers of a particular (Y or L) ideological position [1].…”

Section: Introductionmentioning

confidence: 99%

“…The initial fractions of supporters associated to each party will be equal between each other and denoted by r (0 ≤ r ≤ 1). As in [1], this is done in order to remark the model dependence with respect to the fractal dimension 1 . In addition, the dimension D of every pattern has to run within the following range:…”

Section: Introductionmentioning

confidence: 99%

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

Gaudiano

Revelli

2021

Eur. Phys. J. B

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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.

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Section: Introductionmentioning

confidence: 90%