(Non-)obvious manipulability of rank-minimizing mechanisms

Peter Troyan

Journal of Mathematical Economics, 2024, vol. 113, issue C

Abstract: In assignment problems, the rank distribution of assigned objects is often used to evaluate match quality. Rank-minimizing (RM) mechanisms directly optimize for average rank. While appealing, a drawback is RM mechanisms are not strategyproof. This paper investigates whether RM satisfies the weaker incentive notion of non-obvious manipulability (NOM, Troyan and Morrill, 2020). I show any RM mechanism with full support — placing positive probability on all rank-minimizing allocations — is NOM. In particular, uniform randomization satisfies this condition. Without full support, whether an RM mechanism is NOM or not depends on the details of the selection rule.

Keywords: Obvious manipulations; Rank-minimizing mechanism; School choice; Matching (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:113:y:2024:i:c:s0304406824000752

DOI: 10.1016/j.jmateco.2024.103015

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