Article ID Journal Published Year Pages File Type
5058802 Economics Letters 2015 5 Pages PDF
Abstract

•The equivalence between the pairwise-stability and the setwise-stability is obtained.•We show that the pairwise-stability implies the strong corewise-stability.•We show that the strong core may be a proper subset of the core.•We show that the deferred acceptance algorithm yields a pairwise-stable matching.

This paper investigates the two-sided many-to-many matching problem, where every agent has max-min preference. The equivalence between the pairwise-stability and the setwise-stability is obtained. It is shown that the pairwise-stability implies the strong corewise-stability and the former may be strictly stronger than the latter. We also show that the strong core may be a proper subset of the core. The deferred acceptance algorithm yields a pairwise-stable matching. Thus the set of stable matchings (in all four senses) is non-empty.

Related Topics
Social Sciences and Humanities Economics, Econometrics and Finance Economics and Econometrics
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