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Opinion competition dynamics on multiplex networks

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Multilayer and multiplex networks represent a good proxy for the description of social phenomena where social structure is important and can have different origins. Here, we propose a model of opinion competition where individuals are organized according to two different structures in two layers. Agents exchange opinions according to the Abrams-Strogatz model in each layer separately and opinions can be copied across layers by the same individual. In each layer a different opinion is dominant, so each layer has a different absorbing state. Consensus in one opinion is not the only possible stable solution because of the interaction between the two layers. A new mean field solution has been found where both opinions coexist. In a finite system there is a long transient time for the dynamical coexistence of both opinions. However, the system ends in a consensus state due to finite size effects. We analyze sparse topologies in the two layers and the existence of positive correlations between them, which enables the coexistence of inter-layer groups of agents sharing the same opinion.

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AMATO, Roberta, et al. Opinion competition dynamics on multiplex networks. New Journal of Physics. 2017. Vol. 19, núm. 123019. ISSN 1367-2630. [consulta: 8 de maig de 2026]. Disponible a: https://hdl.handle.net/2445/118750

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