Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/159811
Authors: 
Evci, Bora
Year of Publication: 
2014
Series/Report no.: 
Quaderni - Working Paper DSE 973
Abstract: 
We know from Gale and Shapley (1962) that every Two-Sided Matching Game has a stable solution. It is also well-known that the number of stable matchings increases with the number of agents on both sides. In this paper, we propose two mechanisms, one of which is a variant of the other, to the marriage problem. Our original mechanism implements the full set of stable matchings for any preference profile. On the other hand, the variant mechanism parititons the domain of preference profiles into two; for one set, it implements the full set of stable matchings like the original mechanism and for the other, it ends up with a proper subset of the set of stable matchings. Besides, for some profiles with multi stability, it gives one of the optimal stable matchings. Namely, the second mechanism coincides either with the original mechanism or it is an improvement for one side; and in some profiles, the algortihm induces Gale and Shapley's algorithm for some profiles. Thus, it is a "middle" mechanism.
JEL: 
C78
D78
Persistent Identifier of the first edition: 
Creative Commons License: 
https://creativecommons.org/licenses/by-nc/3.0/
Document Type: 
Working Paper

Files in This Item:
File
Size
402.83 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.