Two-person pie-cutting: The fairest cuts

Julius B. Barbanel and Steven Brams ()

MPRA Paper from University Library of Munich, Germany

Abstract: Barbanel, Brams, and Stromquist (2009) asked whether there exists a two-person moving-knife procedure that yields an envy-free, undominated, and equitable allocation of a pie. We present two procedures: One yields an envy-free, almost undominated, and almost equitable allocation, whereas the second yields an allocation with the two “almosts” removed. The latter, however, requires broadening the definition of a “procedure," which raises philosophical, as opposed to mathematical, issues. An analogous approach for cakes fails because of problems in eliciting truthful preferences.

Keywords: mechanism design; fair division; divisible good; cake-cutting; pie-cutting (search for similar items in EconPapers)
JEL-codes: C70 D63 D74 (search for similar items in EconPapers)
Date: 2010-03
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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