We reexamine the existence of stable solutions in a class of three-sided matching problems previously studied by Zhang and Zhong (2021). The sets of participants are U, V, and W. Agents in U have strict preferences defined on V, agents in V have strict preferences defined on W, and agents in W...

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...