Consensus Dynamics and Opinion Formation on Hypergraphs

In this chapter, we derive and analyse models for consensus dynamics on hypergraphs. As discuss, unless there are nonlinear node interaction functions, it is always possible to rewrite the system in terms of a new network effective pairwise interactions, regardless initially underlying multi-way structure. We thus focus based certain class non-linear which can model different sociological phenomena such as peer pressure stubbornness. Unlike linear networks, show how our cause shifts away from average state. examine these influenced by distribution initial states, hypergraph structure forms scaling function.