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Some results on stability concepts for matching models

Camiña Centeno, Ester (2010) Some results on stability concepts for matching models. [Working Paper or Technical Report] (Unpublished)

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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 Classification 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 (ICAE)
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 09:38
Last Modified:06 Feb 2014 09:11

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