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The adaptive voter model is widely used to model opinion dynamics in socialcomplex networks. However, existing adaptive voter models are limited to onlypairwise interactions and fail to capture the intricate social dynamics whicharises in groups. This paper extends the adaptive voter model to hypergraphs toexplore how forces of peer pressure influence collective decision-making. Themodel consists of two processes: individuals can either consult the group andchange their opinion or leave the group and join a different one. The interplaybetween those two processes gives rise to a two-phase dynamics. In the initialphase, the topology of the hypergraph quickly reaches a new stable state. Inthe subsequent phase, opinion dynamics plays out on the new topology dependingon the mechanism by which opinions spread. If the group always follows themajority, the network rapidly converges to fragmented communities. In contrast,if individuals choose an opinion proportionally to its representation in thegroup, the system remains in a metastable state for an extended period of time.The results are supported both by stochastic simulations and an analyticalmean-field description in terms of hypergraph moments with a moment closure atthe pair level.

Polyadic Opinion Formation: The Adaptive Voter Model on a Hypergraph