Emergence of hierarchy in networked endorsement dynamics
Abstract
Hierarchies structure the lives of many social animals, including humans. We propose a generative model of time-varying networks in which endorsements between individuals give rise to enduring hierarchies. For several network-based ranking functions, our model possesses a distinct, analytically tractable, critical transition between egalitarian and hierarchical states. We also use our model to explore hierarchical structures in empirical data on hiring patterns among mathematicians, dominance relations among parakeets, and friendships among members of a fraternity, observing several persistent patterns. Overall, our model enables data-informed modeling of hierarchical networks in social and biological systems.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 13, 2021
- Source ID
- 10.1073/pnas.2015188118
Entities
People
- Daniel B. Larremore
- Mari Kawakatsu
- Nicole Eikmeier
- Philip S Chodrow
Organizations
- Air Force Office of Scientific Research
- Army Research Office
- Grinnell College
- Massachusetts Institute of Technology
- National Science Foundation
- Princeton University
- University of California
- University of Colorado Boulder