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Impartial division of a dollar

Author

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

Abstract

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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. W. M. Gorman, 1968. "The Structure of Utility Functions," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 367-390.
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    Citations

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    Cited by:

    1. Shiran Rachmilevitch, 2017. "Punishing greediness in divide-the-dollar games," Theory and Decision, Springer, pages 341-351.
    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. Demange, Gabrielle, 2017. "Mutual rankings," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 35-42.
    4. Gabrielle Demange, 2012. "On the influence of a ranking system," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, pages 431-455.
    5. James W. Boudreau & Vicki Knoblauch, 2010. "Dividing Profits Three Ways: Impartiality vs. Consensuality," Working papers 2010-15, University of Connecticut, Department of Economics.
    6. Tamura, Shohei, 2016. "Characterizing minimal impartial rules for awarding prizes," Games and Economic Behavior, Elsevier, vol. 95(C), pages 41-46.
    7. Demange, Gabrielle, 2014. "A ranking method based on handicaps," Theoretical Economics, Econometric Society.
    8. 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.
    9. repec:spr:grdene:v:22:y:2013:i:2:d:10.1007_s10726-011-9260-8 is not listed on IDEAS
    10. Knoblauch, Vicki, 2009. "Three-agent peer evaluation," Economics Letters, Elsevier, vol. 105(3), pages 312-314, December.
    11. repec:spr:scient:v:112:y:2017:i:1:d:10.1007_s11192-017-2335-9 is not listed on IDEAS
    12. 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.
    13. Gabrielle Demange, 2011. "On the influence of rankings," PSE Working Papers halshs-00589657, HAL.
    14. repec:hal:wpaper:halshs-01353825 is not listed on IDEAS
    15. Mackenzie, Andrew, 2015. "Symmetry and impartial lotteries," Games and Economic Behavior, Elsevier, vol. 94(C), pages 15-28.
    16. Boudreau, James W. & Knoblauch, Vicki, 2011. "Dividing profits three ways: Exactness vs. consensuality," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 79-86, September.

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