Manipulability in Matching Markets: Conflict and Coincidence of Interests∗

We study comparative statics of manipulations by women in the men-proposing de-ferred acceptance mechanism in the two-sided one-to-one marriage market. We prove that if a group of women employs truncation strategies or weakly successfully manip-ulates, then all other women weakly benefit and all men are weakly harmed. We show that our results do not appropriately generalize to the many-to-one college admissions model.