Opinion disparity in hypergraphs with community structure

Abstract

The division of a social group into subgroups with opposing opinions, which we refer to as opinion disparity, is a prevalent phenomenon in society. This phenomenon has been modeled by including mechanisms such as opinion homophily, bounded confidence interactions, and social reinforcement mechanisms. In this paper we study a complementary mechanism for the formation of opinion disparity based on higher-order interactions, i.e., simultaneous interactions between multiple agents. We present an extension of the planted partition model for uniform hypergraphs as a simple model of community structure and consider the hypergraph SIS model on a hypergraph with two communities where the binary ideology can spread via links (pairwise interactions) and triangles (three-way interactions). We approximate this contagion process with a mean-field model and find that for strong enough community structure, the two communities can hold very different average opinions. We determine the regimes of structural and infectious parameters for which this opinion disparity can exist and find that the existence of these disparities is much more sensitive to the triangle community structure than to the link community structure. We show that the existence and type of opinion disparities are extremely sensitive to differences in the sizes of the two communities.

arXiv comment14 pages, 8 figures

References in corpus (20)

• Simplicial models of social contagion
• Minority Opinion Spreading in Random Geometry
• Biased Assimilation, Homophily and the Dynamics of Polarization
• Modeling echo chambers and polarization dynamics in social networks
• The effect of heterogeneity on hypergraph contagion models
• Social Influence and Unfollowing Accelerate the Emergence of Echo Chambers
• Majority Rule Dynamics in Finite Dimensions
• Opinion Polarization by Learning from Social Feedback
• Consistency of Spectral Hypergraph Partitioning under Planted Partition Model
• Clustering via Hypergraph Modularity
• Multistability, intermittency and hybrid transitions in social contagion models on hypergraphs
• A Model for the Influence of Media on the Ideology of Content in Online Social Networks
• The role of homophily in the emergence of opinion controversies
• Network clique cover approximation to analyze complex contagions through group interactions
• Dynamics of Majority Rule on Hypergraphs
• Hypergraph assortativity: a dynamical systems perspective
• Exact Recovery in the Hypergraph Stochastic Block Model: a Spectral Algorithm
• Multistability in coupled oscillator systems with higher-order interactions and community structure
• Why are U.S. Parties So Polarized? A "Satisficing" Dynamical Model
• Mathematical measures of societal polarisation