Camiña Centeno, Ester (2010) Some results on stability concepts for matching models. [Working Paper or Technical Report] (Unpublished)
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Official URL: http://eprints.ucm.es/11835/
Abstract
We consider a general class of two-sided matching markets, called many-to-one matching markets with money. For a special case of these markets, where each seller owns di¤erent objects, we prove that stable outcomes cannot be characterized by the non-existence of unsatis…ed pairs. Moreover, we restore the dual lattice structure in markets with more than one seller using a connection with an assignment game.
| Item Type: | Working Paper or Technical Report |
|---|---|
| Additional Information: | JEL Classi…cation Numbers: C71, C78. |
| Uncontrolled Keywords: | Matching, Assignment, Stability. |
| Subjects: | Social sciences > Economics > Stock exchanges |
| Series Name: | Documentos de trabajo del Instituto Complutense de Análisis Económico |
| Volume: | 2010 |
| Number: | 04 |
| ID Code: | 11835 |
| References: | Blair, C., 1988, The lattice structure of the set of stable matchings with multiple partners, Mathematical of Operations Research 13, 619-628. Camiña, E., 2006, A Generalized Assignment Game, Mathematical Social Sciences 52, 152-161. Martínez, R., Massó, J., Neme, A., Oviedo, J., 2001, On the lattice structure of the set of stable matchings for a many-to-one model, Optimization 50, 439-457. Roth, A., 1985, Conflict and coincidence of interest in job matching: some new results and open questions, Mathematics of Operations Research 10, 379-389. Sotomayor, M., 1992, The multiple partners game, in: M. Majumdar, Ed., Equilibrium and Dynamics: Essays in Honor to David Gale Macmillian, 322-336. Shapley, L. and M. Shubik, 1972, The assignment game I: the core, International Journal of Game Theory 1, 111-130. |
| Deposited On: | 14 Dec 2010 10:38 |
| Last Modified: | 12 Mar 2013 12:20 |
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