Gossips and prejudices: ergodic randomized dynamics in social networks

Paolo Frasca, Chiara Ravazzi, Roberto Tempo, Hideaki Ishii

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    32 Citations (Scopus)

    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 languageUndefined
    Title of host publicationEstimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems
    PublisherInternational Federation of Automatic Control
    Pages212-219
    Number of pages8
    ISBN (Print)978-3-902823-55-7
    DOIs
    Publication statusPublished - Sep 2013

    Publication series

    Name
    PublisherInternational federation of Automatic Control
    Volume4

    Keywords

    • EWI-24152
    • METIS-300243
    • IR-88310

    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
    Frasca, Paolo ; Ravazzi, Chiara ; Tempo, Roberto ; Ishii, Hideaki. / Gossips and prejudices: ergodic randomized dynamics in social networks. 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. pp. 212-219
    @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",
    year = "2013",
    month = "9",
    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. 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; Ishii, Hideaki.

    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 proceedingConference contributionAcademicpeer-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

    ER -

    Frasca P, Ravazzi C, Tempo R, Ishii H. 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. 2013. p. 212-219 https://doi.org/10.3182/20130925-2-DE-4044.00024