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.
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
P. Jia, A. MirTabatabaei, N. E. Friedkin, and F. Bullo, "Opinion dynamics and the evolution of social power in influence networks, " SIAM Review, vol. 57, no. 3, pp. 367-397, 2015.
S. E. Parsegov, A. V. Proskurnikov, R. Tempo, and N. E. Friedkin, "Novel multidimensional models of opinion dynamics in social networks, " IEEE Trans. Aut. Ctrl., vol. 62, no. 5, pp. 2270-2285, 2017.
A. Fontan and C. Altafini, "Achieving a decision in antagonistic multi agent networks: frustration determines commitment strength, " in IEEE Conference on Decision and Control, 2018, pp. 109-114.
M. Ye, J. Liu, B. D. O. Anderson, C. Yu, and T. Başar, "Evolution of social power in social networks with dynamic topology, " IEEE Trans. Aut. Ctrl., vol. 63, no. 11, pp. 3793-3808, 2018.
G. D. Pasquale and M. E. Valcher, "Consensus for clusters of agents with cooperative and antagonistic relationships, " arXiv:2008. 12398, Mar. 2020.
A. Bizyaeva, A. Franci, and N. E. Leonard, "Nonlinear opinion dynamics with tunable sensitivity, " arXiv:2009. 04332, Sep. 2020.
A. Franci, M. Golubitsky, A. Bizyaeva, and N. E. Leonard, "A modelindependent theory of consensus and dissensus decision making, " arXiv:1909. 05765, 2020.
A. Franci, A. Bizyaeva, S. Park, and N. Leonard, "Analysis and control of agreement and disagreement opinion cascades, " Swarm Intelligence, vol. 15, no. 1, pp. 47-82, 2021.
A. Bizyaeva, A. Matthews, A. Franci, and N. E. Leonard, "Patterns of nonlinear opinion formation on networks, " American Control Conference, pp. 2739-2744, 2021.
M. Golubitsky and D. G. Schaeffer, Singularities and Groups in Bifurcation Theory, ser. Applied Mathematical Sciences. New York, NY: Springer-Verlag, 1985, vol. 51.
R. Gray, A. Franci, V. Srivastava, and N. E. Leonard, "Multiagent decision-making dynamics inspired by honeybees, " IEEE Transactions on Control of Network Systems, vol. 5, no. 2, pp. 793-806, 2018.
A. Dhooge, W. Govaerts, Y. Kuznetsov, H. Meijer, and B. Sautois, "New features of the software MatCont for bifurcation analysis of dynamical systems, " Mathematical and Computer Modelling of Dynamical Systems, vol. 14, no. 2, pp. 147-175, 2008.
T. Kato, Perturbation Theory for Linear Operators. Springer Science & Business Media, 2013, vol. 132.
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer Science & Business Media, 2013, vol. 42.
Similar publications
Sorry the service is unavailable at the moment. Please try again later.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.