Group Strategy-proofness and Many-to-one Stable Matchings

MARTINEZ R. MASSÓ J. NEME A. AND OVIEDO J.

International Journal of Game Theory

Physica-Verlag

Año: 2004 vol. 33 p. 115 - 128

0020-7276

For the many-to-one matching model in which firms have substitutable and quota q-separable preferences over subsets of workers we show that the workers-optimal stable mechanism is group strategy-proof for the workers. Therefore, in centralized markets like entry-level professional labor markets if the proposed matching is the workers-optimal stable matching then, no group of workers can never benefit by reporting untruthfully their preference relations. We exhibit an example showing that this property is not true if the preferences of firms are substitutable but not quota q-separable.