Obvious manipulations in matching with and without contracts

R. Pablo Arribillaga and Eliana Pepa Risma

Games and Economic Behavior, 2025, vol. 151, issue C, 70-81

Abstract: This paper explores many-to-one matching models, both with and without contracts, where doctors' preferences are private and hospitals' preferences are public and substitutable. It is known that any stable-dominating mechanism –which is either stable or individually rational and Pareto-dominates (from the doctors' perspective) a stable mechanism–, is susceptible to manipulation by doctors. Our study focuses on obvious manipulations and identifies stable-dominating mechanisms that prevent them. Without contracts, we show that any stable-dominating mechanism is not obviously manipulable. However, with contracts, none of these results hold. While we demonstrate that the Doctor-Proposing Deferred Acceptance (DA) Mechanism remains not obviously manipulable, we show that the Hospital-Proposing DA Mechanism and any efficient mechanism that Pareto-dominates the Doctor-Proposing DA Mechanism become (very) obviously manipulable, in the model with contracts.

Keywords: Obvious manipulations; Matching; Contracts; Mechanism design (search for similar items in EconPapers)
JEL-codes: D71 D72 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:151:y:2025:i:c:p:70-81

DOI: 10.1016/j.geb.2025.02.013

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