IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v217y1995i3p373-392.html
   My bibliography  Save this article

Phase diagram of a model of self-organizing hierarchies

Author

Listed:
  • Bonabeau, Eric
  • Theraulaz, Guy
  • Deneubourg, Jean-Louis

Abstract

We introduce a simple model of self-organizing hierarchies in animal societies which relies on a basic positive feedback mechanism reinforcing the ability of a given individual to win or lose in a hierarchical interaction, depending on how many times it won or lost in previous interactions. If a forgetting strength is included, which determines the rate at which events in the past are forgotten and no longer influence the force of an individual, subcritical or supercritical bifurcations in the formation of the hierarchical structure are observed as the density ϱ of individuals is varied. The nature of the transition is shown to depend on a parameter η, analogous to the inverse of a temperature, defining the amount of determinism in the outcomes of the fights. We therefore observe a dynamical tricritical point in the ϱ-η plane.

Suggested Citation

  • Bonabeau, Eric & Theraulaz, Guy & Deneubourg, Jean-Louis, 1995. "Phase diagram of a model of self-organizing hierarchies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 373-392.
    • Handle: RePEc:eee:phsmap:v:217:y:1995:i:3:p:373-392
    DOI: 10.1016/0378-4371(95)00064-E
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719500064E
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(95)00064-E?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. Karataieva, Tatiana & Koshmanenko, Volodymyr & Krawczyk, Małgorzata J. & Kułakowski, Krzysztof, 2019. "Mean field model of a game for power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 535-547.
    2. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2001. "Microscopic Models of Financial Markets," Papers cond-mat/0110354, arXiv.org.
    3. Deffuant, Guillaume & Roubin, Thibaut, 2022. "Do interactions among unequal agents undermine those of low status?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    4. Krawczyk, Małgorzata J. & Kułakowski, Krzysztof, 2017. "Paradox of integration—A computational model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 409-414.
    5. Kułakowski, Krzysztof, 2009. "Opinion polarization in the Receipt–Accept–Sample model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 469-476.
    6. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    7. Ohnishi, Teruaki, 2012. "Evolution of groups with a hierarchical structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5978-5986.
    8. Jędrzejewski, Arkadiusz & Sznajd-Weron, Katarzyna, 2018. "Impact of memory on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 306-315.

    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:eee:phsmap:v:217:y:1995:i:3:p:373-392. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.