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...

In a model where cooperation is beneficial, but subject to cheating, and is supported by trigger strategy punishments in a repeated game, we explore the relationship between the nature of cooperation (size and composition of coalitions) and underlying inequality in the distribution of private...