IDEAS home Printed from https://ideas.repec.org/a/igg/jban00/v6y2019i1p20-42.html
   My bibliography  Save this article

A Mathematical Foundation for Stochastic Opinion Dynamics

Author

Listed:
  • Luis E. Castro

    (Department of Industrial Engineering, University of Miami, Coral Gables, USA)

  • Nazrul I. Shaikh

    (Department of Industrial Engineering, University of Miami, Coral Gables, USA)

Abstract

This article presents a stochastic opinion dynamics model where (a) the opinion of each agent in a network is modeled as a probability distribution as against a point object, (b) consensus is defined as the stability region of the ensuing set of stochastic difference equations, and (c) compromise solutions can be derived between agents who don't have a consensus. The model is well suited for tracking opinion dynamics over large online systems such as Twitter and Yelp where opinions need to be extracted from the user-generated text data. Theoretical conditions for the existence of consensus and the impact that stubborn agents have on opinion dynamics are also presented.

Suggested Citation

  • Luis E. Castro & Nazrul I. Shaikh, 2019. "A Mathematical Foundation for Stochastic Opinion Dynamics," International Journal of Business Analytics (IJBAN), IGI Global, vol. 6(1), pages 20-42, January.
    • Handle: RePEc:igg:jban00:v:6:y:2019:i:1:p:20-42
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJBAN.2019010102
    Download Restriction: no
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:igg:jban00:v:6:y:2019:i:1:p:20-42. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Journal Editor (email available below). General contact details of provider: https://www.igi-global.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.