Simplicial complex of opinions on scale-free networks

Abstract

We present a model of opinions on simplicial complexes characterized by traits. The population of agents is situated at the sites of three types of scale-free networks of different sizes which display two important characteristics of real-world social networks: clustering and modularity. A new method of opinion formation is presented using advantages of simplicial complex approach. The dynamics is twofold: the agents change their opinions and new opinions are created. Topological invariants of simplicial complexes reveal relationships among opinions, particularly those which survive. © 2009 Springer-Verlag Berlin Heidelberg.