IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v122y2012i11p3701-3717.html
   My bibliography  Save this article

Consensus in the two-state Axelrod model

Author

Listed:
  • Lanchier, Nicolas
  • Schweinsberg, Jason

Abstract

The Axelrod model is a spatial stochastic model for the dynamics of cultures which, similar to the voter model, includes social influence, but differs from the latter by also accounting for another social factor called homophily, the tendency to interact more frequently with individuals who are more similar. Each individual is characterized by its opinions about a finite number of cultural features, each of which can assume the same finite number of states. Pairs of adjacent individuals interact at a rate equal to the fraction of features they have in common, thus modeling homophily, which results in the interacting pair having one more cultural feature in common, thus modeling social influence. It has been conjectured based on numerical simulations that the one-dimensional Axelrod model clusters when the number of features exceeds the number of states per feature. In this article, we prove this conjecture for the two-state model with an arbitrary number of features.

Suggested Citation

  • Lanchier, Nicolas & Schweinsberg, Jason, 2012. "Consensus in the two-state Axelrod model," Stochastic Processes and their Applications, Elsevier, vol. 122(11), pages 3701-3717.
    • Handle: RePEc:eee:spapps:v:122:y:2012:i:11:p:3701-3717
    DOI: 10.1016/j.spa.2012.06.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030441491200138X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spa.2012.06.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Reia, Sandro M. & Neves, Ubiraci P.C., 2015. "Activity of a social dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 36-43.
    2. Nicolas Lanchier & Paul-Henri Moisson, 2016. "Fixation Results for the Two-Feature Axelrod Model with a Variable Number of Opinions," Journal of Theoretical Probability, Springer, vol. 29(4), pages 1554-1580, December.

    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:eee:spapps:v:122:y:2012:i:11:p:3701-3717. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.