@inproceedings{2f21fdcd80e24bb1a3e51a8e7a474e08,
title = "Patterns of Nonlinear Opinion Formation on Networks",
abstract = "When communicating agents form opinions about a set of possible options, agreement and disagreement are both possible outcomes. Depending on the context, either can be desirable or undesirable. We show that for nonlinear opinion dynamics on networks, and a variety of network structures, the spectral properties of the underlying adjacency matrix fully characterize the occurrence of either agreement or disagreement. We further show how the corresponding eigenvector centrality, as well as any symmetry in the network, informs the resulting patterns of opinion formation and agent sensitivity to input that triggers opinion cascades.",
keywords = "consensus, decision making, graph theory, Multi-agent systems, opinion dynamics",
author = "Anastasia Bizyaeva and Ayanna Matthews and Alessio Franci and Leonard, {Naomi Ehrich}",
note = "Funding Information: Supported by NSF grant CMMI-1635056, ONR grant N00014-19-1-2556, ARO grant W911NF-18-1-0325, DGAPA-UNAM PAPIIT grant IN102420, and Conacyt grant A1-S-10610, and NSF Grad. Res. Fell. DGE-2039656. Publisher Copyright: {\textcopyright} 2021 American Automatic Control Council.; 2021 American Control Conference, ACC 2021 ; Conference date: 25-05-2021 Through 28-05-2021",
year = "2021",
month = may,
day = "25",
doi = "10.23919/ACC50511.2021.9482811",
language = "English (US)",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2739--2744",
booktitle = "2021 American Control Conference, ACC 2021",
address = "United States",
}