We study mediated many-to-many matching in markets in which valuations evolve over time as the result of shocks … the design of their matching protocols. It shows that the dynamics that maximize either the platform's profits or welfare …

We study centralized many-to-many matching in markets where agents have private information about (vertical …) characteristics that determine match values. Our analysis reveals how matching patterns reflect cross-subsidization between sides … compensated by the gains from agents-consumers. We show how such cross-subsidization can be achieved through matching rules that …