@article{2013a,
title = {On the existence of equitable cake divisions},
author = {Katarína Cechlárová and Jozef Doboš and Eva Pillárová},
url = {http://dx.doi.org/10.1016/j.ins.2012.11.024},
issn = {0020-0255},
year = {2013},
date = {2013-01-31},
journal = {Information Sciences},
volume = {228},
pages = {239–245},
abstract = {Let the cake be represented by the unit interval and let each player have a valuation expressed by a nonatomic robability measure. A cake division is said to be equitable if the value of the piece assigned to a player by his measure is the same for all players. We show that for any number n of players in any order an equitable division xists, giving each player a contiguous cake piece. Moreover, there is at least one order in which the common value is not smaller than 1/n.},
keywords = {real functions}
}
Let the cake be represented by the unit interval and let each player have a valuation expressed by a nonatomic robability measure. A cake division is said to be equitable if the value of the piece assigned to a player by his measure is the same for all players. We show that for any number n of players in any order an equitable division xists, giving each player a contiguous cake piece. Moreover, there is at least one order in which the common value is not smaller than 1/n.