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Published April 2004 | Accepted Version
Journal Article Open

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.

Additional Information

© 2003 Elsevier Science (USA). Received 4 October 2002; accepted 21 February 2003. Available online 11 June 2003. We are grateful to Jinpeng Ma, Ruth Martínez, and Alejandro Neme for their helpful comments.

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Accepted Version - echenique-oviedo-JET.pdf


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