David Delacrétaz
PhD Candidate – Department of Economics – The University of Melbourne

Matching with Quantity

Abstract: We consider matching problems without transfers and with exogenous priorities where some agents demand two units of the same object while others only demand one unit. Applications of this model include the matching of children to day-care centers, students to exchange programs and refugees to localities. We show that, in this environment, the set of stable matchings may not possess same properties as in the canonical school choice model and may even be empty. We propose an algorithm to find an undominated stable matching whenever one exists.