A paradoxical Pareto frontier in the cake-cutting context

被引：0
|
作者：
Taylor, AD [1 ]
机构：
[1] Union Coll, Dept Math, Schenectady, NY 12308 USA
来源：
MATHEMATICAL SOCIAL SCIENCES | 2005年 / 50卷 / 02期
关键词：
fair division; finitely-additive measure; envy-free allocation;
D O I：
10.1016/j.mathsocsci.2005.01.008
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We construct two finitely-additive measures that have all the properties required by discrete cake-cutting procedures, but for which the only Pareto optimal allocations can be cryptically described as the ones in which the whole cake is given to one of the players. This allows us to conclude that there is no discrete cake-cutting scheme for two players that will ensure a Pareto optimal, envy-free allocation. (c) 2005 Elsevier B.V. All rights reserved.
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页码：227 / 233
页数：7
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