Matching with indifferences

NOELIA JUAREZ

San Luis

Workshop; Cooperation Matching and Collective Goods; 2011

Instituto de Matemática Aplicada San Luis. CONICET.

For the marriage model with indifferences, we define an equivalence relation over stable matching set and we identify a sufficient condition under which we can extend results of the classical model (without indifferences) an equivalence classes of the stable matching set. This condition allows us to show the existence of the M-optimal stable class and the W-optimal stable class, the lattice structure over classes of equivalences and the hospital rural theorem.