Three-dimensional stable matching with cyclic preferences

被引：6
|
作者：
Pashkovich, Kanstantsin [1 ]
Poirrier, Laurent [2 ]
机构：
[1] Univ Ottawa, Sch Comp Sci & Elect Engn, 800 King Edward Ave, Ottawa, ON K1N 6N5, Canada
[2] Univ Waterloo, Dept Combinator & Optimizat, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada
来源：
OPTIMIZATION LETTERS | 2020年 / 14卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Stable matching; Three-dimensional; Matching; Stable;
D O I：
10.1007/s11590-020-01557-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider the three-dimensional stable matching problem with cyclic preferences, a problem originally proposed by Knuth. In 2004, Boros, Gurvich, Jaslar and Krasner showed that a stable matching always exists when the number of agents in each of the groups is three. In 2006, Eriksson, Sjostrand and Strimling showed that a stable matching exists also when the number of agents in each group is four. In this paper, we demonstrate that a stable matching exists when each group has five agents. Furthermore, we show that there are at least two distinct stable matchings in that setting.
引用
收藏
页码：2615 / 2623
页数：9
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