We study the existence of group strategy-proof stable rules in many-to-many matching markets under responsiveness of agents' preferences. We show that when firms have acyclical preferences over workers the set of stable matchings is a singleton, and the worker-optimal stable mechanism is a...

We study a class of sequential non-revelation mechanisms in which hospitals make simultaneous take-it-or-leave-it offers to doctors. We prove that all pure strategy subgame perfect equilibriumoutcomes are stable, but the inclusion of contracts shrinks the set of equilibrium outcomes. Our...