Non-Obvious Manipulability of the Rank-Minimizing Mechanism

Peter Troyan

doi:10.1016/j.jmateco.2024.103015

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arXiv · 2206.11359

Non-Obvious Manipulability of the Rank-Minimizing Mechanism

Peter Troyan

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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.

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Peter Troyan. 2022-06-22. Non-Obvious Manipulability of the Rank-Minimizing Mechanism. https://doi.org/10.1016/j.jmateco.2024.103015

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