Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals

M. A.S. Kolarijani; A. V. Proskurnikov; P. Mohajerin Esfahani

doi:10.1109/CDC40024.2019.9030212

Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals

M. A.S. Kolarijani, A. V. Proskurnikov, P. Mohajerin Esfahani

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

2 Citations (Scopus)

16 Downloads (Pure)

Abstract

In this paper, we consider the mean-field model of noisy bounded confidence opinion dynamics under exogenous influence of static radical opinions. The long-term behavior of the model is analyzed by providing a sufficient condition for exponential convergence of the dynamics to stationary state. The stationary state is also characterized by a global estimate for a sufficiently large noise. Furthermore, we consider the order-disorder transition in the model in order to identify the effect of the (relative) mass of the radicals on the critical noise level at which this transition occurs. A numerical scheme for approximating the critical noise level is provided and validated through numerical simulations of the mean-field model and the corresponding agent-based model for a particular distribution of radical opinions.

Original language	English
Title of host publication	Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	IEEE
Pages	6158-6163
ISBN (Electronic)	978-1-7281-1398-2
DOIs	https://doi.org/10.1109/CDC40024.2019.9030212
Publication status	Published - 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duration: 11 Dec 2019 → 13 Dec 2019

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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@inproceedings{f429d156a76c4319933c5738a0d6bd57,

title = "Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals",

abstract = "In this paper, we consider the mean-field model of noisy bounded confidence opinion dynamics under exogenous influence of static radical opinions. The long-term behavior of the model is analyzed by providing a sufficient condition for exponential convergence of the dynamics to stationary state. The stationary state is also characterized by a global estimate for a sufficiently large noise. Furthermore, we consider the order-disorder transition in the model in order to identify the effect of the (relative) mass of the radicals on the critical noise level at which this transition occurs. A numerical scheme for approximating the critical noise level is provided and validated through numerical simulations of the mean-field model and the corresponding agent-based model for a particular distribution of radical opinions.",

author = "Kolarijani, {M. A.S.} and Proskurnikov, {A. V.} and Esfahani, {P. Mohajerin}",

note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; 58th IEEE Conference on Decision and Control, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

year = "2019",

doi = "10.1109/CDC40024.2019.9030212",

language = "English",

pages = "6158--6163",

booktitle = "Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019",

publisher = "IEEE",

address = "United States",

}

Kolarijani, MAS, Proskurnikov, AV & Esfahani, PM 2019, Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals. in Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019. IEEE, pp. 6158-6163, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9030212

Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals. / Kolarijani, M. A.S.; Proskurnikov, A. V.; Esfahani, P. Mohajerin.
Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019. IEEE, 2019. p. 6158-6163.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2019

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N2 - In this paper, we consider the mean-field model of noisy bounded confidence opinion dynamics under exogenous influence of static radical opinions. The long-term behavior of the model is analyzed by providing a sufficient condition for exponential convergence of the dynamics to stationary state. The stationary state is also characterized by a global estimate for a sufficiently large noise. Furthermore, we consider the order-disorder transition in the model in order to identify the effect of the (relative) mass of the radicals on the critical noise level at which this transition occurs. A numerical scheme for approximating the critical noise level is provided and validated through numerical simulations of the mean-field model and the corresponding agent-based model for a particular distribution of radical opinions.

AB - In this paper, we consider the mean-field model of noisy bounded confidence opinion dynamics under exogenous influence of static radical opinions. The long-term behavior of the model is analyzed by providing a sufficient condition for exponential convergence of the dynamics to stationary state. The stationary state is also characterized by a global estimate for a sufficiently large noise. Furthermore, we consider the order-disorder transition in the model in order to identify the effect of the (relative) mass of the radicals on the critical noise level at which this transition occurs. A numerical scheme for approximating the critical noise level is provided and validated through numerical simulations of the mean-field model and the corresponding agent-based model for a particular distribution of radical opinions.

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M3 - Conference contribution

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BT - Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019

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ER -

Long-term Behavior of Mean-field Noisy Bounded Confidence Models with Distributed Radicals

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