Opinion competition dynamics on multiplex networks

Amato, Roberta; Kouvaris, Nikos; San Miguel, Maxi; Díaz-Guilera, Albert
New Journal of Physics 19, 123019 (2017)

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 and then each layer has a different absorbing state. The consensus in one
opinion is not the only possible stable solution because of the interaction between the
two layers. A new mean field solution where both opinions coexist has been found.
In a finite system there is a long transient time of a 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 the layers that enables the coexistence of inter-layer groups of agents sharing
the same opinion.


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