IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v340y2004i1p334-339.html
   My bibliography  Save this article

Gibbs versus non-Gibbs distributions in money dynamics

Author

Listed:
  • Patriarca, Marco
  • Chakraborti, Anirban
  • Kaski, Kimmo

Abstract

We review a simple model of closed economy, where the economic agents make money transactions and a saving criterion is present. We observe the Gibbs distribution for zero saving propensity, and non-Gibbs distributions otherwise. While the exact solution in the case of zero saving propensity is already known to be given by the Gibbs distribution, here we provide the explicit analytical form of the equilibrium distribution for the general case of nonzero saving propensity. We verify it through comparison with numerical data and show that it can be cast in the form of a gamma-distribution.

Suggested Citation

  • Patriarca, Marco & Chakraborti, Anirban & Kaski, Kimmo, 2004. "Gibbs versus non-Gibbs distributions in money dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 334-339.
  • Handle: RePEc:eee:phsmap:v:340:y:2004:i:1:p:334-339
    DOI: 10.1016/j.physa.2004.04.024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104004327
    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.2004.04.024?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. Huang, Jing & Wang, Yougui, 2014. "The time-dependent characteristics of relative mobility," Economic Modelling, Elsevier, vol. 37(C), pages 291-295.
    2. Patriarca, Marco & Chakraborti, Anirban & Germano, Guido, 2006. "Influence of saving propensity on the power-law tail of the wealth distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 723-736.
    3. Carmen Pellicer-Lostao & Ricardo Lopez-Ruiz, 2009. "Economic Models with Chaotic Money Exchange," Papers 0901.1038, arXiv.org.
    4. D. S. Quevedo & C. J. Quimbay, 2019. "Piketty's second fundamental law of capitalism as an emergent property in a kinetic wealth-exchange model of economic growth," Papers 1903.00952, arXiv.org, revised Mar 2019.
    5. Maciej Jagielski & Ryszard Kutner, 2013. "Modelling the income distribution in the European Union: An application for the initial analysis of the recent worldwide financial crisis," Papers 1312.2362, arXiv.org.
    6. Ausloos, Marcel & Pe¸kalski, Andrzej, 2007. "Model of wealth and goods dynamics in a closed market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 560-568.

    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:340:y:2004:i:1:p:334-339. 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.