Fair allocation of indivisible goods with minimum inequality or minimum envy

被引：3
|
作者：
Cornilly, Dries [1 ]
Puccetti, Giovanni [2 ]
Rueschendorf, Ludger [3 ]
Vanduffel, Steven [4 ]
机构：
[1] Asteria Investment Managers SA, Rue Rhone 62, CH-1204 Geneva, Switzerland
[2] Univ Milan, Via Conservatorio 7, I-20122 Milan, Italy
[3] Univ Freiburg, Ernst Zermelo Str 1, D-79104 Freiburg, Germany
[4] Vrije Univ Brussel, Pl Laan 2, B-1050 Brussels, Belgium
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2022年 / 297卷 / 02期
关键词：
Decision analysis; Algorithms for fair allocation; Perfect social equality; Minimum envy; Maximum Nash welfare; Pareto optimality; DIVISION;
D O I：
10.1016/j.ejor.2021.06.020
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We provide a new mathematical framework for the classic problem of fair allocation of indivisible goods, showing that it can be formulated as the problem of finding an optimal column rearrangement of multiple matrices. Based on this formulation, we design two novel algorithms called MinCov and MinCovTarget to find optimal allocations under the newly introduced notion of minimum social inequality, and the popular notion of minimum envy. Numerical illustrations show an excellent performance of the newly developed algorithms also with respect to other allocation criteria, in particular for the maximum Nash welfare. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：741 / 752
页数：12
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