In matching problems with externalities, prudence measures the importance given to potential reactions when evaluating a deviation; social connectedness, on the other hand, measures the capacity to react to such deviations. Intuitively, a matching problem should be more likely to have a stable...

We study coalitional stability in matching problems with externalities, including marriage markets, roommate problems, and Shapley-Scarf housing markets as particular cases. When preferences are randomly determined, the probability of having a coalitionally stable solution is positively affected...