Envy-free cake divisions cannot be found by finite protocols

Author Walter Stromquist



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Walter Stromquist

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Walter Stromquist. Envy-free cake divisions cannot be found by finite protocols. In Fair Division. Dagstuhl Seminar Proceedings, Volume 7261, pp. 1-9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)
https://doi.org/10.4230/DagSemProc.07261.8

Abstract

No finite protocol (even if unbounded) can guarantee an envy-free division of a cake among three or more players, if each player is to receive a single connected piece.
Keywords
  • Cake cutting
  • envy free
  • finite protocol

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