IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-00611323.html
   My bibliography  Save this paper

Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble

Author

Listed:
  • G. Oshanin

    (LPTMC - Laboratoire de Physique Théorique de la Matière Condensée - UPMC - Université Pierre et Marie Curie - Paris 6 - CNRS - Centre National de la Recherche Scientifique)

  • Yu. Holovatch

    (ICMP - Institute for Condensed Matter Physics of NAS of Ukraine - NASU / НАН України - National Academy of Sciences of Ukraine = Національна академія наук України = Académie nationale des sciences d'Ukraine)

  • G. Schehr

    (LPT - Laboratoire de Physique Théorique d'Orsay [Orsay] - UP11 - Université Paris-Sud - Paris 11 - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study the distribution P(\omega) of the random variable \omega = x_1/(x_1 + x_2), where x_1 and x_2 are the wealths of two individuals selected at random from the same tempered Paretian ensemble characterized by the distribution \Psi(x) \sim \phi(x)/x^{1 + \alpha}, where \alpha > 0 is the Pareto index and $\phi(x)$ is the cut-off function. We consider two forms of \phi(x): a bounded function \phi(x) = 1 for L \leq x \leq H, and zero otherwise, and a smooth exponential function \phi(x) = \exp(-L/x - x/H). In both cases \Psi(x) has moments of arbitrary order. We show that, for \alpha > 1, P(\omega) always has a unimodal form and is peaked at \omega = 1/2, so that most probably x_1 \approx x_2. For 0

Suggested Citation

  • G. Oshanin & Yu. Holovatch & G. Schehr, 2011. "Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble," Post-Print hal-00611323, HAL.
  • Handle: RePEc:hal:journl:hal-00611323
    DOI: 10.1016/j.physa.2011.06.067
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. Eliazar, Iddo I. & Sokolov, Igor M., 2012. "Measuring statistical evenness: A panoramic overview," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1323-1353.

    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:hal:journl:hal-00611323. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.