Deferred acceptance procedure with proposals by Y's: -
Find the matching produced by the deferred acceptance procedure with proposals by Y's for the preferences given in Figure.
In particular, the core may contain more than one matching. It can be shown that the matching generated by the deferred acceptance procedure with proposals by X's yields each X her most preferred partner among all her partners in matchings in the core, and yields each Y her least preferred partner among all her partners in matchings in the core.
Similarly, the matching generated by the deferred acceptance procedure with proposals by Y's yields each Y her most preferred partner among all her partners in matchings in the core, and yields each X her least preferred partner among all her partners in matchings in the core.
