Mapping the $q$-voter model: From a single chain to complex networks

Abstract

We propose and compare six different ways of mapping the modified $q$-voter model to complex networks. Considering square lattices, Barabási-Albert, Watts-Strogatz and real Twitter networks, we ask the question if always a particular choice of the group of influence of a fixed size $q$ leads to different behavior at the macroscopic level. Using Monte Carlo simulations we show that the answer depends on the relative average path length of the network and for real-life topologies the differences between the considered mappings may be negligible.

arXiv comment16 pages, 7 figures

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Cited by in corpus (5)

• Statistical Physics Of Opinion Formation: is it a SPOOF?
• Pair approximation for the q-voter model with independence on complex networks
• Threshold $q$-voter model
• The interplay between conformity and anticonformity and its polarizing effect on society
• Impact of independence on polarization of opinions