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Zealotry effects on opinion dynamics in the adaptive voter model
Stockholm University, Faculty of Science, Stockholm Resilience Centre. Potsdam Institute for Climate Impact Research, Germany.ORCID iD: 0000-0001-5233-7703
Number of Authors: 42017 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 96, no 5, article id 052315Article in journal (Refereed) Published
Abstract [en]

The adaptive voter model has been widely studied as a conceptual model for opinion formation processes on time-evolving social networks. Past studies on the effect of zealots, i.e., nodes aiming to spread their fixed opinion throughout the system, only considered the voter model on a static network. Here we extend the study of zealotry to the case of an adaptive network topology co-evolving with the state of the nodes and investigate opinion spreading induced by zealots depending on their initial density and connectedness. Numerical simulations reveal that below the fragmentation threshold a low density of zealots is sufficient to spread their opinion to the whole network. Beyond the transition point, zealots must exhibit an increased degree as compared to ordinary nodes for an efficient spreading of their opinion. We verify the numerical findings using a mean-field approximation of the model yielding a low-dimensional set of coupled ordinary differential equations. Our results imply that the spreading of the zealots' opinion in the adaptive voter model is strongly dependent on the link rewiring probability and the average degree of normal nodes in comparison with that of the zealots. In order to avoid a complete dominance of the zealots' opinion, there are two possible strategies for the remaining nodes: adjusting the probability of rewiring and/or the number of connections with other nodes, respectively.

Place, publisher, year, edition, pages
2017. Vol. 96, no 5, article id 052315
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-150892DOI: 10.1103/PhysRevE.96.052315ISI: 000416316100007OAI: oai:DiVA.org:su-150892DiVA, id: diva2:1171796
Available from: 2018-01-08 Created: 2018-01-08 Last updated: 2018-01-24Bibliographically approved

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