We generalize standard school choice models to allow for interdependent preferences and differentially-informed students. We show that in general, the commonly-used deferred acceptance mechanism is no longer strategy-proof, the outcome is not stable, and may make less informed students worse...

We introduce a new class of matching mechanisms - quantile stable mechanisms - that generate stable matchings that can be seen as a compromise between sides of a two-sided market. We show that responsiveness is a sufficient condition for the existence of such mechanisms and that all such...