On the Equivalence of G-weak and -strong Cores in the Marriage Problem

Koji Takamiya

ISER Discussion Paper from Institute of Social and Economic Research, The University of Osaka

Abstract: In the marriage problem (two-sided one-to-one matching problem), it is well-known that the weak core, the strong core and the set of stable matchings are all equivalent. This paper generalizes the above observation considering the G-weak core and the G-strong core. These are core concepts in which blocking power is restricted to the coalitions belonging to the prescribed class of coalitions G. I give a necessary and sufficient condition that G should satisfy for the equivalence of the G-weak core and the G-strong core.

Date: 2006-07
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Persistent link: https://EconPapers.repec.org/RePEc:dpr:wpaper:0652

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