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Equality of opportunity and integration in social networks

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  • Ortega, Josué

Abstract

We propose the notion of k-integration as a measure of equality of opportunity in social networks. A social network is k-integrated if there is a path of length at most k between any two individuals, thus guaranteeing that everybody has the same network opportunities to find a job, a romantic partner, or valuable information. We compute the minimum number of bridges (i.e. edges between nodes belonging to different components) or central nodes (those which are endpoints to a bridge) required to ensure k-integration. The answer depends only linearly on the size of each component for k=2, and does not depend on the size of each component for k≥3. Our findings provide a simple and intuitive way to compare the equality of opportunity of real-life social networks.

Suggested Citation

  • Ortega, Josué, 2019. "Equality of opportunity and integration in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 530(C).
    • Handle: RePEc:eee:phsmap:v:530:y:2019:i:c:s0378437119309185
    DOI: 10.1016/j.physa.2019.121553
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