Barbanel, Julius B. and Brams, Steven J. (2010): Two-person pie-cutting: The fairest cuts. Forthcoming in: College Mathematics Journal (2011)
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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.
|Item Type:||MPRA Paper|
|Original Title:||Two-person pie-cutting: The fairest cuts|
|Keywords:||mechanism design; fair division; divisible good; cake-cutting; pie-cutting|
|Subjects:||D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D - Microeconomics > D7 - Analysis of Collective Decision-Making > D74 - Conflict ; Conflict Resolution ; Alliances ; Revolutions
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C70 - General
|Depositing User:||Steven J. Brams|
|Date Deposited:||18. May 2010 12:37|
|Last Modified:||06. Mar 2015 14:38|
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