IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i5p1338-1344.html
   My bibliography  Save this article

Nature and statistics of majority rankings in a dynamical model of preference aggregation

Author

Listed:
  • Columbu, G.L.
  • De Martino, A.
  • Giansanti, A.

Abstract

We present numerical results on a complex dynamical model for the aggregation of many individual rankings of S alternatives by the pairwise majority rule under a deliberative scenario. Agents are assumed to interact when the Kemeny distance between their rankings is smaller than a range R. The main object of interest is the probability that the aggregate (social) ranking is transitive as a function of the interaction range. This quantity is known to decay fast as S increases in the non-interacting case. Here we find that when S>4 such a probability attains a sharp maximum when the interaction range is sufficiently large, in which case it significantly exceeds the corresponding value for a non-interacting system. Furthermore, the situation improves upon increasing S. A possible microscopic mechanism leading to this counterintuitive result is proposed and investigated.

Suggested Citation

  • Columbu, G.L. & De Martino, A. & Giansanti, A., 2008. "Nature and statistics of majority rankings in a dynamical model of preference aggregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1338-1344.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:5:p:1338-1344
    DOI: 10.1016/j.physa.2007.10.046
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437107011429
    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/j.physa.2007.10.046?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. Le Pira, Michela & Inturri, Giuseppe & Ignaccolo, Matteo & Pluchino, Alessandro & Rapisarda, Andrea, 2017. "Finding shared decisions in stakeholder networks: An agent-based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 277-287.

    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:387:y:2008:i:5:p:1338-1344. 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.