Axiomatization of the PageRank Centrality

Tomasz Wąs, Oskar Skibski

Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence

Main track. Pages 3898-3904.

https://doi.org/10.24963/ijcai.2018/542

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Abstract

We propose an axiomatization of PageRank. Specifically, we introduce five simple axioms—Foreseeability, Outgoing Homogeneity, Monotonicity, Merging, and Dummy Node—and show that PageRank is the only centrality measure that satisfies all of them. Our axioms give a new conceptual and theoretical underpinnings of PageRank and show how it differs from other centralities.

Keywords

  • Multidisciplinary Topics and Applications: Social Sciences
  • Agent-based and Multi-agent Systems: Economic Paradigms, Auctions and Market-Based Systems
  • Multidisciplinary Topics and Applications: AI and the Web
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