We introduce a new matching model to mimic two-sided exchange programs such as tuition and worker exchange, in which each firm has to avoid being a net-exporter of workers. These exchanges use decentralized markets, making it difficult to achieve a balance between exports and imports. We show...

We introduce a new matching model to mimic two-sided exchange programs such as tuition and worker exchange, in which each firm has to avoid being a net-exporter of workers. These exchanges use decentralized markets, making it difficult to achieve a balance between exports and imports. We show...

We study many-to-one matching with complementarities. Real life examples include college admissions with two-sided monetary transfers, teacher assignment with different teaching loads, worker assignment. Due to the presence of complementarities, the conditions that are essential for the...