Impact of perception models on friendship paradox and opinion formation

Abstract

Topological heterogeneities of social networks have a strong impact on the individuals embedded in those networks. One of the interesting phenomena driven by such heterogeneities is the friendship paradox (FP), stating that the mean degree of one's neighbors is larger than the degree of oneself. Alternatively, one can use the median degree of neighbors as well as the fraction of neighbors having a higher degree than oneself. Each of these reflects on how people perceive their neighborhoods, i.e., their perception models, hence how they feel peer pressure. In our paper, we study the impact of perception models on the FP by comparing three versions of the perception model in networks generated with a given degree distribution and a tunable degree-degree correlation or assortativity. The increasing assortativity is expected to decrease network-level peer pressure, while we find a nontrivial behavior only for the mean-based perception model. By simulating opinion formation, in which the opinion adoption probability of an individual is given as a function of individual peer pressure, we find that it takes the longest time to reach consensus when individuals adopt the median-based perception model, compared to other versions. Our findings suggest that one needs to consider the proper perception model for better modeling human behaviors and social dynamics.

8 pages, 5 figures

References in corpus (20)

• Emergence of scaling in random networks
• Community detection in graphs
• Power-law distributions in empirical data
• Assortative mixing in networks
• The diameter of the world wide web
• Statistical physics of social dynamics
• Epidemic processes in complex networks
• Specificity and stability in topology of protein networks
• Scale-free networks are rare
• The Anatomy of the Facebook Social Graph
• Generation of uncorrelated random scale-free networks
• The Majority Illusion in Social Networks
• Voter Models on Heterogeneous Networks
• Generalized friendship paradox in complex networks: The case of scientific collaboration
• Qualities and Inequalities in Online Social Networks through the Lens of the Generalized Friendship Paradox
• Exploring the assortativity-clustering space of a network's degree sequence
• Generalized friendship paradox in networks with tunable degree-attribute correlation
• Modeling the dynamics of dissent
• Stylized facts in social networks: Community-based static modeling
• Dynamical complexity in the perception-based network formation model

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• Analytical approach to the generalized friendship paradox in networks with correlated attributes
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