Gossips and prejudices: ergodic randomized dynamics in social networks

Paolo Frasca; Chiara Ravazzi; Roberto Tempo; Hideaki Ishii

doi:10.3182/20130925-2-DE-4044.00024

Gossips and prejudices: ergodic randomized dynamics in social networks

Paolo Frasca, Chiara Ravazzi, Roberto Tempo, Hideaki Ishii

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

57 Citations (Scopus)

14 Downloads (Pure)

Abstract

In this paper we study a new model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process: following recent literature, we refer to this communication model as “gossiping‿. Second, agents are not completely open-minded, but instead take into account their initial opinions, which may be thought of as their “prejudices‿. In the literature, such agents are often called “stubborn‿. We show that the opinions of the agents fail to converge, but persistently undergo ergodic oscillations, which asymptotically concentrate around a mean distribution of opinions. This mean value is exactly the limit of the synchronous dynamics of the expected opinions.

Original language	Undefined
Title of host publication	Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems
Publisher	International Federation of Automatic Control
Pages	212-219
Number of pages	8
ISBN (Print)	978-3-902823-55-7
DOIs	https://doi.org/10.3182/20130925-2-DE-4044.00024
Publication status	Published - Sept 2013
Event	4th IFAC Workshop on Distributed Estimation and Control in Networked Systems - Koblenz, Germany Duration: 25 Sept 2013 → 26 Sept 2013

Publication series

Name
Publisher	International federation of Automatic Control
Volume	4

Workshop

Workshop	4th IFAC Workshop on Distributed Estimation and Control in Networked Systems
Period	25/09/13 → 26/09/13
Other	25-26 September 2013

Keywords

EWI-24152
METIS-300243
IR-88310

Access to Document

10.3182/20130925-2-DE-4044.00024

http://eprints.eemcs.utwente.nl/secure2/24152/01/FRTI_necsys13.pdf

Cite this

Frasca, P., Ravazzi, C., Tempo, R., & Ishii, H. (2013). Gossips and prejudices: ergodic randomized dynamics in social networks. In Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems (pp. 212-219). International Federation of Automatic Control. https://doi.org/10.3182/20130925-2-DE-4044.00024

@inproceedings{ca21d555c7db4f388ed00f8a07214c01,

title = "Gossips and prejudices: ergodic randomized dynamics in social networks",

abstract = "In this paper we study a new model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process: following recent literature, we refer to this communication model as “gossiping‿. Second, agents are not completely open-minded, but instead take into account their initial opinions, which may be thought of as their “prejudices‿. In the literature, such agents are often called “stubborn‿. We show that the opinions of the agents fail to converge, but persistently undergo ergodic oscillations, which asymptotically concentrate around a mean distribution of opinions. This mean value is exactly the limit of the synchronous dynamics of the expected opinions.",

keywords = "EWI-24152, METIS-300243, IR-88310",

author = "Paolo Frasca and Chiara Ravazzi and Roberto Tempo and Hideaki Ishii",

note = "10.3182/20130925-2-DE-4044.00024 ; 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems ; Conference date: 25-09-2013 Through 26-09-2013",

year = "2013",

month = sep,

doi = "10.3182/20130925-2-DE-4044.00024",

language = "Undefined",

isbn = "978-3-902823-55-7",

publisher = "International Federation of Automatic Control",

pages = "212--219",

booktitle = "Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems",

}

Frasca, P, Ravazzi, C, Tempo, R & Ishii, H 2013, Gossips and prejudices: ergodic randomized dynamics in social networks. in Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems. International Federation of Automatic Control, pp. 212-219, 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems, 25/09/13. https://doi.org/10.3182/20130925-2-DE-4044.00024

Gossips and prejudices: ergodic randomized dynamics in social networks. / Frasca, Paolo; Ravazzi, Chiara; Tempo, Roberto et al.
Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems. International Federation of Automatic Control, 2013. p. 212-219.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Gossips and prejudices: ergodic randomized dynamics in social networks

AU - Frasca, Paolo

AU - Ravazzi, Chiara

AU - Tempo, Roberto

AU - Ishii, Hideaki

N1 - 10.3182/20130925-2-DE-4044.00024

PY - 2013/9

Y1 - 2013/9

N2 - In this paper we study a new model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process: following recent literature, we refer to this communication model as “gossiping‿. Second, agents are not completely open-minded, but instead take into account their initial opinions, which may be thought of as their “prejudices‿. In the literature, such agents are often called “stubborn‿. We show that the opinions of the agents fail to converge, but persistently undergo ergodic oscillations, which asymptotically concentrate around a mean distribution of opinions. This mean value is exactly the limit of the synchronous dynamics of the expected opinions.

AB - In this paper we study a new model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process: following recent literature, we refer to this communication model as “gossiping‿. Second, agents are not completely open-minded, but instead take into account their initial opinions, which may be thought of as their “prejudices‿. In the literature, such agents are often called “stubborn‿. We show that the opinions of the agents fail to converge, but persistently undergo ergodic oscillations, which asymptotically concentrate around a mean distribution of opinions. This mean value is exactly the limit of the synchronous dynamics of the expected opinions.

KW - EWI-24152

KW - METIS-300243

KW - IR-88310

U2 - 10.3182/20130925-2-DE-4044.00024

DO - 10.3182/20130925-2-DE-4044.00024

M3 - Conference contribution

SN - 978-3-902823-55-7

SP - 212

EP - 219

BT - Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems

PB - International Federation of Automatic Control

T2 - 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems

Y2 - 25 September 2013 through 26 September 2013

ER -