Rise of an alternative majority against opinion leaders
K. Tucci, J. C. Gonz\'alez-Avella, M. G. Cosenza

TL;DR
This paper explores how an alternative majority can emerge against opinion leaders in social systems, revealing phase transitions and the importance of network structure in collective behavior.
Contribution
It introduces a model based on Axelrod's dynamics showing the spontaneous rise of an alternative majority, challenging the idea that opinion leaders are essential for opinion propagation.
Findings
Three collective phases identified: leader-imposed, alternative majority, and disordered.
Emergence of an alternative majority depends on network connectivity.
Long-range connections are crucial for the rise of the alternative group.
Abstract
We investigate the role of opinion leaders or influentials in the collective behavior of a social system. Opinion leaders are characterized by their unidirectional influence on other agents. We employ a model based on Axelrod's dynamics for cultural interaction among social agents that allows for non-interacting states. We find three collective phases in the space of parameters of the system, given by the fraction of opinion leaders and a quantity representing the number of available states: one ordered phase having the state imposed by the leaders; another nontrivial ordered phase consisting of a majority group in a state orthogonal or alternative to that of the opinion leaders, and a disordered phase, where many small groups coexist. We show that the spontaneous rise of an alternative group in the presence of opinion leaders depends on the existence of a minimum number of long-range…
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