Core Many-to-one Matchings by Fixed-point Methods
We characterize the core many-to-one matchings as fixed points of a map. Our characterization gives an algorithm for finding core allocations; the algorithm is efficient and simple to implement. Our characterization does not require substitutable preferences, so it is separate from the structure needed for the non-emptiness of the core. When preferences are substitutable, our characterization gives a simple proof of the lattice structure of core matchings, and it gives a method for computing the join and meet of two core matchings.
|Date of creation:||13 Feb 2003|
|Date of revision:|
|Note:||Type of Document - PDF; prepared on Linux PC; to print on PostScript; pages: 30|
|Contact details of provider:|| Web page: http://econwpa.repec.org|
References listed on IDEAS
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- Ahmet Alkan, 2002. "A class of multipartner matching markets with a strong lattice structure," Economic Theory, Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 737-746.
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- Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
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