Abstract
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 model generalizes Greinecker & Kah (2021), which focuses on one-to-one matching and did not allow for occupational choice. Applications include the roommate problem with non-atomic participants, explaining the size and distribution of firms and wage inequality. * We wish to thank Michael Greinecker, Ravi Jagadeesan, Fuhito Kojima, Karolina Vocke, Rakesh Vohra, three anonymous referees and seminar participants at the University