Papanikolaou, Nikos, Vaccario, Giacomo, Hormann, Erik, Lambiotte, Renaud, and Schweitzer, Frank (2022) Consensus from group interactions: An adaptive voter model on hypergraphs. Physical Review E, 105. 054307.

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Abstract

We study the effect of group interactions on the emergence of consensus in a spin system. Agents with discrete opinions {0,1} 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 β. To study the impact of β 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.

Item ID:	91264
Item Type:	Article (Research - C1)
ISSN:	2470-0045
Copyright Information:	© 2022 American Physical Society
Date Deposited:	28 Apr 2026 23:56
FoR Codes:	49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490104 Complex systems @ 100%
SEO Codes:	28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280118 Expanding knowledge in the mathematical sciences @ 100%
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