The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in groups. This paper extends the adaptive voter model to hypergraphs to explore how forces of peer pressure influence collective decision‐making. The model consists of two processes: individuals can either consult the group and change their opinion or leave the group and join a different one. The interplay between those two processes gives rise to a two‐phase dynamics. In the initial phase, the topology of the hypergraph quickly reaches a new stable state. In the subsequent phase, opinion dynamics plays out on the new topology depending on the mechanism by which opinions spread. If the group always follows the majority, the network rapidly converges to fragmented communities. In contrast, if individuals choose an opinion proportionally to its representation in the group, the system remains in a metastable state for an extended period of time. The results are supported both by stochastic simulations and an analytical mean‐field description in terms of hypergraph moments with a moment closure at the pair level.

中文翻译：

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多元意见形成：超图上的自适应选民模型

自适应选民模型广泛用于对社会复杂网络中的意见动态进行建模。然而，现有的自适应选民模型仅限于成对互动，无法捕捉群体中出现的复杂的社会动态。本文将自适应选民模型扩展到超图，以探索同伴压力如何影响集体决策。该模型由两个过程组成：个人可以咨询团体并改变他们的意见，也可以离开团体并加入另一个团体。这两个过程之间的相互作用产生了两相动力学。在初始阶段，超图的拓扑很快达到新的稳定状态。在后续阶段，意见动态在新拓扑上发挥作用，具体取决于意见传播的机制。如果群体总是追随多数，网络就会迅速汇聚成支离破碎的社区。相反，如果个人选择的意见与其在群体中的代表性成比例，则系统会在较长时间内保持亚稳态。结果得到了随机模拟和根据超图矩的分析平均场描述以及对级矩闭包的支持。