We simplify the stability notion for the two-sided, one-to-one matching setting in distributional form of Greinecker and Kah (2021). Their stability notion uses the product measure of a matching with itself and requires a certain ``instability'' set to be null. In contrast, our definition of...

We introduce a model of large many-to-one matching markets with occupational choice where each individual can choose which side of the market to belong to. We show that stable matchings exist under mild assumptions; in particular, both complementarities and externalities can be accommodated. Our...