Some results on stability concepts for matching models

  1. Camiña Centeno, Ester
Revista:
Documentos de Trabajo (ICAE)

ISSN: 2341-2356

Año de publicación: 2010

Número: 4

Páginas: 1-12

Tipo: Documento de Trabajo

Otras publicaciones en: Documentos de Trabajo (ICAE)

Resumen

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.

Referencias bibliográficas

  • [1] Blair, C., 1988, The lattice structure of the set of stable matchings with multiple partners, Mathematical of Operations Research 13, 619-628.
  • [2] Camiña, E., 2006, A Generalized Assignment Game, Mathematical Social Sciences 52, 152-161.
  • [3] 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.
  • [4] Roth, A., 1985, Conflict and coincidence of interest in job matching: some new results and open questions, Mathematics of Operations Research 10, 379-389.
  • [5] Sotomayor, M., 1992, The multiple partners game, in: M. Majumdar, Ed., Equilibrium and Dynamics: Essays in Honor to David Gale Macmillian, 322-336.
  • [6] Shapley, L. and M. Shubik, 1972, The assignment game I: the core, International Journal of Game Theory 1, 111-130.