IDEAS home Printed from https://ideas.repec.org/p/ver/wpaper/60-2009.html

Preserving Dominance Relations Through Disaggregation: The Evil and the Saint

Author

Listed:
  • Alain Trannoy

    (EHESS, GREQAM-IDEP, Marseille)

  • Eugenio Peluso

    (Department of Economics (University of Verona))

Abstract

Disaggregation arises when broad categories like households budget units are divided into elementary units as individual income recipients. We study the preservation of stochastic dominance for every order beyond two after disaggregation: If we observe a dominance relation among household income distributions, it is also true at the individual level. We find necessary and sufficient conditions satisfied by the common sharing rule adopted by households to divide the cake among individuals. The sharing function, which maps the household income into the outcome of the disadvantaged individual, must have derivatives of the same sign as the utility function characterizing the stochastic order of interest. In addition, the household has to follow a compensating rule, meaning that at the margin the distribution should be in favor of the disadvantaged individual.

Suggested Citation

  • Alain Trannoy & Eugenio Peluso, 2009. "Preserving Dominance Relations Through Disaggregation: The Evil and the Saint," Working Papers 60/2009, University of Verona, Department of Economics.
    • Handle: RePEc:ver:wpaper:60/2009
    as

    Download full text from publisher

    File URL: http://dse.univr.it//workingpapers/WP60.pdf
    File Function: First version
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

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


    Cited by:

    1. is not listed on IDEAS
    2. M Denuit & L Eeckhoudt & O Jokung, 2013. "Non-differentiable transformations preserving stochastic dominance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(9), pages 1441-1446, September.
    3. Gao, Jianwei & Zhao, Feng, 2017. "Sufficient conditions of stochastic dominance for general transformations and its application in option strategy," Economics Discussion Papers 2017-40, Kiel Institute for the World Economy (IfW Kiel).

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:ver:wpaper:60/2009. 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: Michael Reiter (email available below). General contact details of provider: https://edirc.repec.org/data/isverit.html .

    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.