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00925njm 22002777a 4500 dc Amato, Roberta author Kouvaris, Nikos E. author San Miguel, Maxi author Díaz Guilera, Albert author 2017-12-15T16:01:06Z 2017-12-15T16:01:06Z 2017-12-06 2017-12-15T16:01:06Z 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. Xarxes d'ordinadors Xarxes socials Dinàmica Teoria de grafs Computer networks Social networks Dynamics Graph theory Opinion competition dynamics on multiplex networks