How to divide things fairly

Steven Brams, D. Marc Kilgour, Christian Klamler

    Research output: Contribution to journalArticle

    Abstract

    We propose an intuitively simple sequential algorithm (SA) for the fair division of indivisible items that are strictly ranked by two or more players. We analyze several properties of the allocations that it yields and discuss SA’s application to real-life problems, such as dividing the marital property in a divorce or assigning people to committees or projects.

    Original languageEnglish (US)
    Pages (from-to)338-348
    Number of pages11
    JournalMathematics Magazine
    Volume88
    Issue number5
    DOIs
    StatePublished - 2015

    Fingerprint

    Thing
    Divides
    Indivisible
    Sequential Algorithm
    Division
    Strictly
    Life

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Brams, S., Kilgour, D. M., & Klamler, C. (2015). How to divide things fairly. Mathematics Magazine, 88(5), 338-348. https://doi.org/10.4169/math.mag.88.5.338

    How to divide things fairly. / Brams, Steven; Kilgour, D. Marc; Klamler, Christian.

    In: Mathematics Magazine, Vol. 88, No. 5, 2015, p. 338-348.

    Research output: Contribution to journalArticle

    Brams, S, Kilgour, DM & Klamler, C 2015, 'How to divide things fairly', Mathematics Magazine, vol. 88, no. 5, pp. 338-348. https://doi.org/10.4169/math.mag.88.5.338
    Brams, Steven ; Kilgour, D. Marc ; Klamler, Christian. / How to divide things fairly. In: Mathematics Magazine. 2015 ; Vol. 88, No. 5. pp. 338-348.
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