Fair division of indivisible items

被引：37

作者：

Brams, SJ ^{[1
]}

Edelman, PH

Fishburn, PC

机构：

[1] NYU, Dept Polit, New York, NY 10003 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37235 USA

[3] Vanderbilt Univ, Sch Law, Nashville, TN 37235 USA

[4] AT&T Labs Res, Shannon Lab, Informat Sci Res Ctr, Florham Pk, NJ 07932 USA

[5] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

THEORY AND DECISION | 2003年 / 55卷 / 02期

关键词：

allocation of indivisible items; envy-freeness; fair division; lexicographic maximin; Pareto optimality;

D O I：

10.1023/B:THEO.0000024421.85722.0a

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper analyzes criteria of fair division of a set of indivisible items among people whose revealed preferences are limited to rankings of the items and for whom no side payments are allowed. The criteria include refinements of Pareto optimality and envy-freeness as well as dominance-freeness, evenness of shares, and two criteria based on equally-spaced surrogate utilities, referred to as maxsum and equimax. Maxsum maximizes a measure of aggregate utility or welfare, whereas equimax lexicographically maximizes persons' utilities from smallest to largest. The paper analyzes conflicts among the criteria along with possibilities and pitfalls of achieving fair division in a variety of circumstances.

引用

页码：147 / 180

页数：34

共 37 条

[1] FAIR ALLOCATION OF INDIVISIBLE GOODS AND CRITERIA OF JUSTICE [J].