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Designing matching mechanisms under constraints: An approach from discrete convex analysis

Fuhito Kojima, Akihisa Tamura and Makoto Yokoo

Journal of Economic Theory, 2018, vol. 176, issue C, 803-833

Abstract: We consider two-sided matching problems where agents on one side of the market (hospitals) are required to satisfy certain distributional constraints. We show that when the preferences and constraints of the hospitals can be represented by an M♮-concave function, (i) the generalized Deferred Acceptance (DA) mechanism is strategyproof for doctors, (ii) it produces the doctor-optimal stable matching, and (iii) its time complexity is proportional to the square of the number of possible contracts. Furthermore, we provide sufficient conditions under which the generalized DA mechanism satisfies these desirable properties. These conditions are applicable to various existing works and enable new applications as well, thereby providing a recipe for developing desirable mechanisms in practice.

Keywords: Two-sided matching; Market design; Matching with contracts; Matching with constraints; Discrete convex analysis; Deferred acceptance (search for similar items in EconPapers)
JEL-codes: C78 D47 D61 (search for similar items in EconPapers)
Date: 2018
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