Non-Obvious Manipulability of the Rank-Minimizing Mechanism
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913395899367424 |
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| author | Troyan, Peter |
| author_facet | Troyan, Peter |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_11359 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-Obvious Manipulability of the Rank-Minimizing Mechanism Troyan, Peter Theoretical Economics 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. |
| title | Non-Obvious Manipulability of the Rank-Minimizing Mechanism |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2206.11359 |