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Identifier to cite or link to this item: https://hdl.handle.net/10086/18517

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Title
Partnership-Enhancement and Stability in Matching Problems
Creator
Creator Name
Tadenuma, Koichi Tadenuma, Koichi
蓼沼, 宏一 蓼沼, 宏一
タデヌマ, コウイチ タデヌマ, コウイチ
Affiliation
Affiliation Name
Hitotsubashi University
Editor
Contributor Name
社会科学の高度統計・実証分析拠点構築 = Research Unit for Statistical and Empirical Analysis in Social Sciences
Affiliation
Affiliation Name
Hitotsubashi University
Key Word
two-sided matching problem
stable matching
partnership
solidarity
JEL
C78
C71
D71
D63
Abstract
In two-sided matching problems, we consider "natural" changes in preferences of agents in which only the rankings of current partners are enhanced. We introduce two desirable properties of matching rules under such rank-enhancements of partners. One property requires that an agent who becomes higher ranked by the original partner should not be punished. We show that this property cannot always be met if the matchings are required to be stable. However, if only one agent changes his preferences, the above requirement is compatible with stability, and moreover, envy-minimization in stable matchings can also be attained. The other property is a solidarity property, requiring that all of the "irrelevant" agents, whose preferences as well as whose original partners' preferences are unchanged, should be affected in the same way; either all weakly better off or all worse off. We show that when matchings are required to be stable, this property does not always hold.
Publisher
Institute of Economic Research, Hitotsubashi University
Issued Date
2010-05
Language
English(eng)
Resource Type
technical report
Version Type
VoR
Is Part OfRelation -
Related Title
Global COE Hi-Stat Discussion Paper Series ; No. 137
Number of Pages
23
Sponsorship
グローバルCOEプログラム = Global COE Program
Appears in Collections
Global COE Hi-Stat Discussion Paper Series
URL
https://hdl.handle.net/10086/18517