Loss of information in feedforward social networks

Simon Stolarczyk, Manisha Bhardwaj, Kevin E. Bassler, Wei Ji Ma, Krešimir Josić

Research output: Contribution to journalArticle

Abstract

We consider social networks in which information propagates directionally across layers of rational agents. Each agent makes a locally optimal estimate of the state of the world, and communicates this estimate to agents downstream. When agents receive some information from a common source their estimates are correlated. We show that the resulting redundancy can lead to the loss of information about the state of the world across layers of the network, even when all agents have full knowledge of the network's structure. A simple algebraic condition identifies networks in which information loss occurs, and we show that all such networks must contain a particular network motif. We also study random networks asymptotically as the number of agents increases, and find a sharp transition in the probability of information loss at the point at which the number of agents in one layer exceeds the number in the previous layer.

Original languageEnglish (US)
Pages (from-to)448-469
Number of pages22
JournalJournal of Complex Networks
Volume6
Issue number3
DOIs
StatePublished - Jul 1 2018

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Management Science and Operations Research
  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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  • Cite this

    Stolarczyk, S., Bhardwaj, M., Bassler, K. E., Ma, W. J., & Josić, K. (2018). Loss of information in feedforward social networks. Journal of Complex Networks, 6(3), 448-469. https://doi.org/10.1093/comnet/cnx032