Consensus effects of social media synthetic influence groups on scale-free networks

Giuliano G. Porciúncula, Marcone I. Sena-Junior, Luiz Felipe C. Pereira and André L.M. Vilela

Chaos, Solitons & Fractals, 2025, vol. 197, issue C

Abstract: Online platforms for social interactions are an essential part of modern society. With the advance of technology and the rise of algorithms and AI, content is now filtered systematically, facilitating the formation of filter bubbles. This work investigates the social consensus under limited visibility in a two-state majority-vote model on Barabási–Albert scale-free networks. In the consensus evolution, each individual assimilates the opinion of the majority of their neighbors with probability 1−q and disagrees with chance q, known as the noise parameter. We define the visibility parameter V as the probability of an individual considering the opinion of a neighbor at a given interaction. The parameter V enables us to model the limited visibility phenomenon that produces synthetic neighborhoods in online interactions. We employ Monte Carlo simulations and finite-size scaling analysis to obtain the critical noise parameter as a function of the visibility V and the growth parameter z. We find the critical exponents β/ν̄, γ/ν̄ and 1/ν̄ of the system and validate the unitary relation for complex networks. Our analysis shows that installing and manipulating synthetic influence groups critically undermines consensus robustness.

Keywords: Sociophysics; Phase transition; Critical phenomena; Monte Carlo simulation; Finite-size scaling (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925004928

DOI: 10.1016/j.chaos.2025.116479

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