Regensburg 2016 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 18: Social Systems, Opinion and Group Dynamics: Opinions and Innovations
SOE 18.1: Talk
Wednesday, March 9, 2016, 16:15–16:30, H36
Phase transitions in the hybrid q-r-w-voter model on complete graph — •Piotr Nyczka1 and Katarzyna Sznajd-Weron2 — 1Jacobs University, Bremen, Germany — 2Wrocław University of Technology, Wrocław, Poland
The subject of this paper is the analysis of fundamental properties of the opinion dynamics model which goes far beyond the q-voter model. We have delivered analysis of the hybrid q-r-w-voter model which is an extended q-voter model with addition of two types of nonconformity (applied with different probabilities, which are parameters of the model) and with specific thresholds of minimal majority in the group, needed for effective interaction. Purpose of this extension was the attempt to generalize some binary models of opinion dynamics: voter model, Sznajd model q-voter model and modified majority model and to go beyond that.
There was an order-disorder phase transition present, but it could be continuous or discontinuous. We have discovered how parameters of the model influence the type of transition, and what is the difference between two types of nonconformity (anticonformity and independence) in terms of phase diagrams. It is worth to mention that this difference could manifest itself or remain hidden, depending on the parameters of the model.
We answered these questions in the case of complete graph. Further investigation should be conducted on other types of networks to answer the question of the generality of results.