Polyadic Opinion Formation: The Adaptive Voter Model on a Hypergraph

Abstract

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.

Version as appeared in the Annalen der Physik; 20 pages, 10 figures

References in corpus (23)

• Networks beyond pairwise interactions: structure and dynamics
• Simplicial models of social contagion
• Adaptive Coevolutionary Networks: A Review
• Voter Model on Heterogeneous Graphs
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Dynamics on higher-order networks: A review
• Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplices
• Generic Absorbing Transition in Coevolution Dynamics
• The non-linear q-voter model
• Reality Inspired Voter Models: A Mini-Review
• Conservation laws for the voter model in complex networks
• The noisy voter model on complex networks
• A mathematical framework for critical transitions: normal forms, variance and applications
• A Universal Route to Explosive Phenomena
• An adaptive voter model on simplicial complexes
• Analytical calculation of fragmentation transitions in adaptive networks
• Early fragmentation in the adaptive voter model on directed networks
• Ordering dynamics of the multi-state voter model
• Zealotry Effects on Opinion Dynamics in the Adaptive Voter Model
• Stability analysis of multiplayer games on adaptive simplicial complexes
• Solution of the multi-state voter model and application to strong neutrals in the naming game
• Mean-field models of dynamics on networks via moment closure: an automated procedure
• Local Symmetry and Global Structure in Adaptive Voter Models

Cited by in corpus (3)

• Collective dynamics on higher-order networks
• Coevolutionary Dynamics of Group Interactions: Coevolving Nonlinear Voter Models
• Phase transitions for polyadic epidemic and voter models with multiscale groups