Market Design for Priority-Based Assignment with Distributional Objectives
summary
Provides an axiomatic derivation of reserves-and-quotas choice rules for type-specific seats and shows a particular regular reserves-and-quotas rule uniquely minimizes unjustified baseline priority breaches under four axioms (reserve-respecting, nonwasteful, within-type compatibility, explainable violations ≤ reserved seats). Uses student-proposing Deferred Acceptance as the algorithmic tool and proves that with those regular rules DA minimizes priority violations across assignments; simulations report ~25 blocking pairs for regular vs 101 for an alternative (≈5×).
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