Consensus from group interactions: An adaptive voter model on hypergraphs
arXiv:2201.06421 · doi:10.1103/PhysRevE.105.054307
Abstract
We study the effect of group interactions on the emergence of consensus in a spin system. Agents with discrete opinions form groups. They can change their opinion based on their group's influence (voter dynamics), but groups can also split and merge (adaptation). In a hypergraph, these groups are represented by hyperedges of different sizes. The heterogeneity of group sizes is controlled by a parameter . To study the impact of on reaching consensus, we provide extensive computer simulations and compare them with an analytic approach for the dynamics of the average magnetization. We find that group interactions amplify small initial opinion biases, accelerate the formation of consensus and lead to a drift of the average magnetization. The conservation of the initial magnetization, known for basic voter models, is no longer obtained.
References in corpus (27)
- Epidemic spreading in scale-free networks
- Networks beyond pairwise interactions: structure and dynamics
- Adaptive Coevolutionary Networks: A Review
- Nonequilibrium phase transition in the coevolution of networks and opinions
- Minority Opinion Spreading in Random Geometry
- Dynamics of Majority Rule
- Voter Models on Heterogeneous Networks
- Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution
- Generic Absorbing Transition in Coevolution Dynamics
- Is the Voter Model a model for voters?
- Incomplete ordering of the voter model on small-world networks
- Reality Inspired Voter Models: A Mini-Review
- Conservation laws for the voter model in complex networks
- Exact Results for Kinetics of Catalytic Reactions
- Phase transitions in social impact models of opinion formation
- Comparison of voter and Glauber ordering dynamics on networks
- Decelerating microdynamics can accelerate macrodynamics in the voter model
- Emergence of multi-body interactions in few-atom sites of a fermionic lattice clock
- An adaptive voter model on simplicial complexes
- Nonlinear Voter Models: The Transition from Invasion to Coexistence
- On Spatial Consensus Formation: Is the Sznajd Model Different from a Voter Model?
- Early fragmentation in the adaptive voter model on directed networks
- Dynamics of Majority Rule on Hypergraphs
- Chimera states in small disordered optomechanical arrays
- Ising model with variable spin/agent strengths
- Neighborhood approximations for non-linear voter models
- Asymmetric coevolutionary voter dynamics