Priority-Based Assignment with Reserves and Quotas

Working Paper: NBER ID: w28689

Authors: Atila Abdulkadiroglu; Aram Grigoryan

Abstract: We study priority-based assignment problems with distributional and diversity objectives. Our work provides an axiomatic characterization of a general class of choice rules which are based on type-specific reserves and quotas. The choice rules in the class differ by the order in which applicants are considered for units reserved for different types. We show that a particular reserves- and quotas-based choice rule, where all applicants are first considered for units reserved for their own types, uniquely minimizes priority violations in this class.

Keywords: priority-based assignment; reserves; quotas; distributional objectives; diversity objectives

JEL Codes: D47; I39


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
priority-based assignment rules (C78)priority violations (D18)
regular reserves and quotas rule (F33)distributional outcomes (D39)
considering reserved seats first (D72)priority violations (D18)
considering open seats first (D72)priority violations (D18)
regular reserves and quotas rule (F33)priority violations (D18)
priority violations (D18)fairness of assignment outcomes (C78)

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