concerns. Instead of exogenously restricting transfers on a matching market, we introduce a desideratum based on fairness …

We introduce a two-sided, many-to-one matching with contracts model in which agents with unit demand match to branches … matching markets with slot-specific priorities, branches' choice functions may not satisfy the substitutability conditions … typically crucial for matching with contracts. Despite this complication, we are able to show that stable outcomes exist in the …

stable matching when all authorities use the optimal APM. We provide a practical roadmap for implementing APM as a market …