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The envy-free matching problem with pairwise preferences

被引：2
|
作者：
Kamiyama, Naoyuki [1 ]
机构：
[1] Kyushu Univ, Inst Math Ind, Fukuoka, Japan
来源：
INFORMATION PROCESSING LETTERS | 2021年 / 172卷
关键词：
Matching; Envy-freeness; Pairwise preference; Algorithms;
D O I：
10.1016/j.ipl.2021.106158
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider the situation where each agent has a preference over a subset of items and exactly one item is matched to each agent. The envy-freeness of a matching guarantees that no one has envy for the others. We consider an envy-free matching in the situation where each agent has a preference that is defined based on comparisons of any two acceptable items. We prove that in this situation, the problem of checking the existence of an envy-free matching is generally hard. (C) 2021 Elsevier B.V. All rights reserved.
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页数：9
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