IDEAS home Printed from https://ideas.repec.org/p/uct/uconnp/2010-15.html
   My bibliography  Save this paper

Dividing Profits Three Ways: Impartiality vs. Consensuality

Author

Listed:
  • James W. Boudreau

    (The University of Texas-Pan American)

  • Vicki Knoblauch

    (University of Connecticut)

Abstract

A rule for three-way division of profits based on peer evaluation reports is impartial if the calculation of each partner’s share ignores her report, and is consensual if it respects evaluations when the three partners’ reports are in agreement. We give an approximate solution to the problem of finding a three-way impartial division rule of minimal average deviation from consensuality. We also use a calculus of variations technique to give an exact solution to a simple version of the problem.

Suggested Citation

  • James W. Boudreau & Vicki Knoblauch, 2010. "Dividing Profits Three Ways: Impartiality vs. Consensuality," Working papers 2010-15, University of Connecticut, Department of Economics.
  • Handle: RePEc:uct:uconnp:2010-15
    as

    Download full text from publisher

    File URL: https://media.economics.uconn.edu/working/2010-15.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rene van den Brink & Agnieszka Rusinowska, "undated". "The Degree Ratio Ranking Method for Directed Networks," Tinbergen Institute Discussion Papers 19-026/II, Tinbergen Institute.
    2. Gantner, Anita & Horn, Kristian & Kerschbamer, Rudolf, 2019. "The role of communication in fair division with subjective claims," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 72-89.
    3. 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.
    4. ,, 2014. "A ranking method based on handicaps," Theoretical Economics, Econometric Society, vol. 9(3), September.
    5. Demange, Gabrielle, 2017. "Mutual rankings," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 35-42.
    6. Knoblauch, Vicki, 2009. "Three-agent peer evaluation," Economics Letters, Elsevier, vol. 105(3), pages 312-314, December.
    7. 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.
    8. Brink, René van den & Rusinowska, Agnieszka, 2021. "The degree ratio ranking method for directed graphs," European Journal of Operational Research, Elsevier, vol. 288(2), pages 563-575.
    9. Shiran Rachmilevitch, 2022. "Reasonable Nash demand games," Theory and Decision, Springer, vol. 93(2), pages 319-330, September.
    10. Tamura, Shohei, 2016. "Characterizing minimal impartial rules for awarding prizes," Games and Economic Behavior, Elsevier, vol. 95(C), pages 41-46.
    11. Shiran Rachmilevitch, 2017. "Punishing greediness in divide-the-dollar games," Theory and Decision, Springer, vol. 82(3), pages 341-351, March.
    12. Gabrielle Demange, 2012. "Collective attention and ranking methods," PSE Working Papers halshs-00564982, HAL.
    13. Moreno-Ternero, Juan D. & Vidal-Puga, Juan, 2021. "Aggregator operators for dynamic rationing," European Journal of Operational Research, Elsevier, vol. 288(2), pages 682-691.
    14. Peng Bao & Chengxiang Zhai, 2017. "Dynamic credit allocation in scientific literature," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(1), pages 595-606, July.
    15. 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.
    16. Ruben Juarez & Kohei Nitta, 2017. "Profit-Sharing and Implementation of Efficient Outcomes," Working Papers 201702, University of Hawaii at Manoa, Department of Economics.
    17. Javier Cembrano & Felix Fischer & Max Klimm, 2023. "Improved Bounds for Single-Nomination Impartial Selection," Papers 2305.09998, arXiv.org.
    18. Matthew Olckers & Toby Walsh, 2022. "Manipulation and Peer Mechanisms: A Survey," Papers 2210.01984, arXiv.org, revised Nov 2023.
    19. Arthur Carvalho & Kate Larson, 2012. "Sharing Rewards Among Strangers Based on Peer Evaluations," Decision Analysis, INFORMS, vol. 9(3), pages 253-273, September.
    20. Garrison W. Greenwood & Daniel Ashlock, 2023. "A Representation for Many Player Generalized Divide the Dollar Games," Games, MDPI, vol. 14(2), pages 1-15, February.

    More about this item

    Keywords

    division function; impartial; consensual;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:uct:uconnp:2010-15. 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.

    If CitEc recognized a bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mark McConnel (email available below). General contact details of provider: https://edirc.repec.org/data/deuctus.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.