absolutely stable roommate problems when preferences are strict. That is, we obtain the conditions on preference profiles such … that indirect dominance implies direct dominance in roommate problems. Furthermore, we characterize absolutely stable … roommate problems having a non-empty core. Finally, we show that, if the core of an absolutely stable roommate problem is not …

marriage problems to roommate problems. In particular, we show that the existence of a side-optimal core stable network, on …