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N-Person Cake-Cutting: There May Be No Perfect Division.

Authors :
Brams, Steven J.
Jones, Michael A.
Klamler, Christian
Source :
American Mathematical Monthly. Jan2013, Vol. 120 Issue 1, p35-47. 13p.
Publication Year :
2013

Abstract

The article focuses on different cake cutting theories and calculate their optimum efficiency. It reports that the valuation of different parts of cakes is different for different players and the density functions are used to determine the efficiency. It highlights the use of 2 cuts and 3 cuts to cut a cake between 3 players to show fair division of indivisible goods.

Details

Language :
English
ISSN :
00029890
Volume :
120
Issue :
1
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
84998279
Full Text :
https://doi.org/10.4169/amer.math.monthly.120.01.035