Opinion Dynamics with Multi-body Interactions

We introduce and analyse a three-body consensus model (3CM) for non-linear dynamics on hypergraphs. Our incorporates reinforcing group effects, which can cause shifts in the average state of system even if underlying graph is complete (corresponding to mean-field interaction), phenomena that may be interpreted as type peer pressure. further demonstrate systems with two clustered groups, already small asymmetry our lead opinion one becoming clearly dominant. show nonlinearity essential ingredient make such appear, how otherwise written linear, pairwise interaction rescaled network.