Attention parameters; Collective decision; Communicating agents; Decision makers; Dynamic feedback; Dynamics models; Networks/graphs; Opinion dynamics; Opinion formation; Spectral properties; Control and Systems Engineering; Modeling and Simulation; Control and Optimization
Abstract :
[en] For a group of autonomous communicating agents to carry out coordinated objectives, it is paramount that they can distinguish meaningful input from disturbance, and come rapidly and reliably to agreement or disagreement in response to that input. We study how opinion formation cascades through a group of networked decision makers in response to a distributed input signal. Using a nonlinear opinion dynamics model with dynamic feedback modulation of an attention parameter, we prove how the triggering of an opinion cascade and the collective decision itself depend on both the distributed input and node agreement and disagreement centrality indices, determined by the spectral properties of the network graph. Moreover, we show how the attention dynamics introduce an implicit threshold that distinguishes between distributed inputs that trigger cascades and ones that are rejected as disturbance.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Bizyaeva, Anastasia; Princeton University, Dept. of Mechanical and Aerospace Engineering, Princeton, United States
Sorochkin, Timothy; University of Waterloo, Dept. of Physics and Astronomy, Waterloo, Canada
Franci, Alessio ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing ; National Autonomous University of Mexico, Dept. of Mathematics, Mexico City, Mexico
Ehrich Leonard, Naomi; Princeton University, Dept. of Mechanical and Aerospace Engineering, Princeton, United States
Language :
English
Title :
Control of Agreement and Disagreement Cascades with Distributed Inputs
Publication date :
2021
Event name :
2021 60th IEEE Conference on Decision and Control (CDC)
Event place :
Austin, Usa
Event date :
13-12-2021 => 17-12-2021
Audience :
International
Main work title :
60th IEEE Conference on Decision and Control, CDC 2021
Publisher :
Institute of Electrical and Electronics Engineers Inc.
Supported by ONR grant N00014-19-1-2556, ARO grant W911NF-18-1-0325, DGAPA-UNAM PAPIIT grant IN102420, and Conacyt grant A1-S-10610, and by NSF Graduate Research Fellowship DGE-2039656.
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