IDEAS home Printed from
   My bibliography  Save this article

Impartial division of a dollar


  • de Clippel, Geoffroy
  • Moulin, Herve
  • Tideman, Nicolaus


For impartial division, each participant reports only her opinion about the fair relative shares of the other participants, and this report has no effect on her own share. If a specific division is compatible with all reports, it is implemented. We propose a family of natural methods meeting these requirements, for a division among four or more participants. No such method exists for a division among three participants.

Suggested Citation

  • de Clippel, Geoffroy & Moulin, Herve & Tideman, Nicolaus, 2008. "Impartial division of a dollar," Journal of Economic Theory, Elsevier, vol. 139(1), pages 176-191, March.
  • Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:176-191

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    1. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
    2. W. M. Gorman, 1968. "The Structure of Utility Functions," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 367-390.
    3. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Shiran Rachmilevitch, 2017. "Punishing greediness in divide-the-dollar games," Theory and Decision, Springer, vol. 82(3), pages 341-351, March.
    2. Shinji Ohseto, 2012. "Exclusion of self evaluations in peer ratings: monotonicity versus unanimity on finitely restricted domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 109-119, January.
    3. Gabrielle Demange, 2011. "On the influence of rankings," Working Papers halshs-00589657, HAL.
    4. Demange, Gabrielle, 2017. "Mutual rankings," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 35-42.
    5. Gabrielle Demange, 2012. "On the influence of a ranking system," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 431-455, July.
    6. James W. Boudreau & Vicki Knoblauch, 2010. "Dividing Profits Three Ways: Impartiality vs. Consensuality," Working papers 2010-15, University of Connecticut, Department of Economics.
    7. Tamura, Shohei, 2016. "Characterizing minimal impartial rules for awarding prizes," Games and Economic Behavior, Elsevier, vol. 95(C), pages 41-46.
    8. Demange, Gabrielle, 2014. "A ranking method based on handicaps," Theoretical Economics, Econometric Society, vol. 9(3), September.
    9. Shohei Tamura & Shinji Ohseto, 2014. "Impartial nomination correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 47-54, June.
    10. repec:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9260-8 is not listed on IDEAS
    11. Knoblauch, Vicki, 2009. "Three-agent peer evaluation," Economics Letters, Elsevier, vol. 105(3), pages 312-314, December.
    12. repec:spr:scient:v:112:y:2017:i:1:d:10.1007_s11192-017-2335-9 is not listed on IDEAS
    13. Gantner, Anita & Kerschbamer, Rudolf, 2016. "Fairness and efficiency in a subjective claims problem," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 21-36.
    14. Gabrielle Demange, 2011. "On the influence of rankings," PSE Working Papers halshs-00589657, HAL.
    15. Gabrielle Demange, 2012. "Collective attention and ranking methods," Working Papers halshs-00564982, HAL.
    16. Gabrielle Demange, 2013. "A ranking method based on handicaps," Working Papers halshs-00687180, HAL.
    17. Gabrielle Demange, 2016. "Mutual rankings," Working Papers halshs-01353825, HAL.
    18. Mackenzie, Andrew, 2015. "Symmetry and impartial lotteries," Games and Economic Behavior, Elsevier, vol. 94(C), pages 15-28.
    19. Boudreau, James W. & Knoblauch, Vicki, 2011. "Dividing profits three ways: Exactness vs. consensuality," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 79-86, September.

    More about this item


    Access and download statistics


    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:jetheo:v:139:y:2008:i:1:p:176-191. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.