Social power and opinion formation in complex networks

Social network (sociolinguistics) Scale-free network Consensus theory Preferential attachment Evolving networks Degree (music)
DOI: 10.1016/j.physa.2012.10.013 Publication Date: 2012-10-23T13:00:58Z
ABSTRACT
Abstract In this paper we investigate the effects of social power on the evolution of opinions in model networks as well as in a number of real social networks. A continuous opinion formation model is considered and the analysis is performed through numerical simulation. Social power is given to a proportion of agents selected either randomly or based on their degrees. As artificial network structures, we consider scale-free networks constructed through preferential attachment and Watts–Strogatz networks. Numerical simulations show that scale-free networks with degree-based social power on the hub nodes have an optimal case where the largest number of the nodes reaches a consensus. However, given power to a random selection of nodes could not improve consensus properties. Introducing social power in Watts–Strogatz networks could not significantly change the consensus profile.
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