On envy-free cake division

Steven J. Brams, Alan D. Taylor

    Research output: Contribution to journalArticlepeer-review


    We extend a result of Knaster and Woodall to the envy-free context by providing a constructive procedure for allocating a cake among n people so that whenever two people have different measures (and we have at our disposal a piece of cake and the two different measures of it), then each thinks he or she received a strictly larger piece than the other.

    Original languageEnglish (US)
    Pages (from-to)170-173
    Number of pages4
    JournalJournal of Combinatorial Theory, Series A
    Issue number1
    StatePublished - Apr 1995

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Discrete Mathematics and Combinatorics
    • Computational Theory and Mathematics


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