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Hysteresis and disorder-induced order in continuous kinetic-like opinion dynamics in complex networks

•Hysteresis and disorder-induced order.•Sources of heterogeneity: plurality and polarization.•Simulations of the model in random, small-world and scale-free networks. We analyse how the interplay between several sources of heterogeneity in agent’s bias, namely plurality and polarization, shapes the...

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Published in:Chaos, solitons and fractals solitons and fractals, 2020-08, Vol.137, p.109893, Article 109893
Main Authors: Oestereich, A.L., Pires, M.A., Duarte Queirós, S.M., Crokidakis, N.
Format: Article
Language:English
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Summary:•Hysteresis and disorder-induced order.•Sources of heterogeneity: plurality and polarization.•Simulations of the model in random, small-world and scale-free networks. We analyse how the interplay between several sources of heterogeneity in agent’s bias, namely plurality and polarization, shapes the emergence of different regimes of collective opinion in multi-agent systems. We do so by considering a kinetic-like model of opinion dynamics with restrictive pairwise interactions — which are modeled by a smooth bounded confidence — in a networked population endued with quenched plurality and polarization. The former is understood as gradation around some leading opinion whereas the latter means formal disagreement. Our results are able to reproduce the so-called ‘social hysteresis’ phenomenon, i.e., the outcome of a given collective decision process depends on the history of that society, as well as heterogeneity-assisted ordering, that is to say, the achievement of an agreement assumed in the form of a collective stance. In addition, we show that those results are qualitatively independent of the type of network architecture considered, specifically random, small-world or scale-free.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2020.109893