Standard

Consensus in a social network with two principals. / Bure, V. M.; Parilina, E. M.; Sedakov, A. A.

In: Automation and Remote Control, Vol. 78, No. 8, 01.08.2017, p. 1489-1499.

Research output: Contribution to journal › Article › peer-review

Harvard

Bure, VM, Parilina, EM & Sedakov, AA 2017, 'Consensus in a social network with two principals', Automation and Remote Control, vol. 78, no. 8, pp. 1489-1499. https://doi.org/10.1134/S0005117917080094

APA

Bure, V. M., Parilina, E. M., & Sedakov, A. A. (2017). Consensus in a social network with two principals. Automation and Remote Control, 78(8), 1489-1499. https://doi.org/10.1134/S0005117917080094

Vancouver

Bure VM, Parilina EM, Sedakov AA. Consensus in a social network with two principals. Automation and Remote Control. 2017 Aug 1;78(8):1489-1499. https://doi.org/10.1134/S0005117917080094

Author

Bure, V. M. ; Parilina, E. M. ; Sedakov, A. A. / Consensus in a social network with two principals. In: Automation and Remote Control. 2017 ; Vol. 78, No. 8. pp. 1489-1499.

BibTeX

@article{4b5fb4ec6077420b9e88eda4b28029a5,
title = "Consensus in a social network with two principals",
abstract = "This paper considers a model of opinion dynamics in a social network with two principals, in which the members may affect the opinions of each other and their opinions evolve according to a time-homogeneous Markov chain. We study the existence of a consensus in this network for two types of influence models, namely, when the principals may or may not affect the opinions of each other directly. In addition, we find the values of social network parameters under which a consensus is reached. For the cases without a consensus in its standard definition, we introduce the notion of a consensus of the majority and find the parameter values under which it is reached. Two numerical examples illustrate the obtained theoretical results.",
author = "Bure, {V. M.} and Parilina, {E. M.} and Sedakov, {A. A.}",
year = "2017",
month = aug,
day = "1",
doi = "10.1134/S0005117917080094",
language = "English",
volume = "78",
pages = "1489--1499",
journal = "Automation and Remote Control",
issn = "0005-1179",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "8",

}

RIS

TY - JOUR

T1 - Consensus in a social network with two principals

AU - Bure, V. M.

AU - Parilina, E. M.

AU - Sedakov, A. A.

PY - 2017/8/1

Y1 - 2017/8/1

N2 - This paper considers a model of opinion dynamics in a social network with two principals, in which the members may affect the opinions of each other and their opinions evolve according to a time-homogeneous Markov chain. We study the existence of a consensus in this network for two types of influence models, namely, when the principals may or may not affect the opinions of each other directly. In addition, we find the values of social network parameters under which a consensus is reached. For the cases without a consensus in its standard definition, we introduce the notion of a consensus of the majority and find the parameter values under which it is reached. Two numerical examples illustrate the obtained theoretical results.

AB - This paper considers a model of opinion dynamics in a social network with two principals, in which the members may affect the opinions of each other and their opinions evolve according to a time-homogeneous Markov chain. We study the existence of a consensus in this network for two types of influence models, namely, when the principals may or may not affect the opinions of each other directly. In addition, we find the values of social network parameters under which a consensus is reached. For the cases without a consensus in its standard definition, we introduce the notion of a consensus of the majority and find the parameter values under which it is reached. Two numerical examples illustrate the obtained theoretical results.

UR - http://www.scopus.com/inward/record.url?scp=85027873572&partnerID=8YFLogxK

U2 - 10.1134/S0005117917080094

DO - 10.1134/S0005117917080094

M3 - Article

AN - SCOPUS:85027873572

VL - 78

SP - 1489

EP - 1499

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 8

ER -

ID: 9169125