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Qualities and Inequalities in Online Social Networks through the Lens of the Generalized Friendship Paradox (1602.03739v1)

Published 11 Feb 2016 in cs.SI and physics.soc-ph

Abstract: The friendship paradox is the phenomenon that in social networks, people on average have fewer friends than their friends do. The generalized friendship paradox is an extension to attributes other than the number of friends. The friendship paradox and its generalized version have gathered recent attention due to the information they provide about network structure and local inequalities. In this paper, we propose several measures of nodal qualities which capture different aspects of their activities and influence in online social networks. Using these measures we analyse the prevalence of the generalized friendship paradox over Twitter and we report high levels of prevalence (up to over 90\% of nodes). We contend that this prevalence of the friendship paradox and its generalized version arise because of the hierarchical nature of the connections in the network. This hierarchy is nested as opposed to being star-like. We conclude that these paradoxes are collective phenomena not created merely by a minority of well-connected or high-attribute nodes. Moreover, our results show that a large fraction of individuals can experience the generalized friendship paradox even in the absence of a significant correlation between degrees and attributes.

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Authors (2)
  1. Naghmeh Momeni (12 papers)
  2. Michael Rabbat (64 papers)
Citations (62)

Summary

Qualities and Inequalities in Online Social Networks through the Lens of the Generalized Friendship Paradox

The research paper titled "Qualities and Inequalities in Online Social Networks through the Lens of the Generalized Friendship Paradox" provides a detailed examination of the friendship paradox, a concept that reveals that individuals, on average, tend to have fewer friends than their friends do. This phenomenon is extended through the generalized friendship paradox (GFP), which pertains to other nodal attributes beyond the number of friends. This paper focuses on various measures of activity and influence within online social networks, specifically using Twitter as a case paper, to analyze the prevalence of GFP.

Introduction and Problem Statement

The paper starts by identifying a gap in understanding the local inequalities present in social networks, specifically in the context of how individuals perceive their influence and connectivity relative to their peers. The friendship paradox highlights these disparities, which are increasingly significant in digitized and connected environments like social networks. The GFP broadens this scope by examining attributes such as influence across nodal connections in these networks, proposing that connectivity and various activities are central to these local inequalities.

Methodology

Several metrics are introduced in the research to quantify activity and influence on social networks. Two metrics account for user activity, while four deal with influence through retweets. This comprehensive approach allows for a multi-dimensional view of user impact on social platforms. Specifically, the research examines:

  • Total tweets (including original and retweets)
  • Original tweets (efforts initiated by the user)
  • Total retweets received
  • Number of tweets leading to a cascade
  • Average retweets per tweet
  • Fraction of tweets retweeted

Each of these measures is calculated for a large dataset, encompassing 200 million tweets, to highlight differing user influence dynamics and substantiate claims of GFP prevalence in Twitter.

Results

A notable finding is the heavy distribution tail of these attributes, indicating that the majority of users are observers rather than contributors to Twitter's content flow. Over 75% of users receive no retweets, demonstrating significant inequality in user influence.

The paper further discusses that the prevalence of neighbor superiority in all investigated attributes surpasses 63%, with median neighbor superiorities exceeding 57%. This discovery challenges the notion that GFP arises solely from statistical artifacts, suggesting instead a systematic hierarchy in social networks where users predominantly connect to those with higher attributes.

Implications

The research underscores several implications for understanding social networks and the dynamics of user connections:

  • A hierarchical nature of connections is deeply ingrained within social networks, including Twitter, influenced by how users choose to connect.
  • Even significantly active users, or those within the top percentiles of influence (e.g., retweets received), often experience GFP, suggesting decentralized network structures rather than star-like hubs.
  • Higher attribute values do not necessarily lead to reduced experiences of neighbor superiority, emphasizing that individual presence and social hierarchy play critical roles.

The detailed analytical approach offers potential pathways for future exploration in AI-driven social media analytics and network theory development. Future studies could enhance understanding of network hierarchies and leverage GFP insights to optimize social media strategies, viral marketing, or information dissemination tactics.

In conclusion, this research provides critical insights into the structural characteristics of social networks, emphasizing the importance of connectivity and influence metrics in understanding social dynamics and propagation patterns. By providing a nuanced understanding of GFP across multiple dimensions, the paper encourages broader considerations for network design and user behavior analysis in digital environments.

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