A technical note on finite best-worst random utility model representations
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909317173608448 |
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| author | Colonius, Hans |
| author_facet | Colonius, Hans |
| contents | This paper investigates the random utility representation of best-worst choice probabilities (picking the best and the worst alternative from an offered set). Doignon (2023) presented a complete characterization of the best-worst-choice polytope on four alternatives. Moreover, using polytope methods he showed that the Block-Marschak inequalities for best-worst choices are not sufficient for a random utility representation of best-worst choices for sets of four or more alternatives. Following the approach of Falmagne (1978), we construct a probability measure on the set of rankings for a set of four alternatives implying a random utility representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A technical note on finite best-worst random utility model representations Colonius, Hans Optimization and Control This paper investigates the random utility representation of best-worst choice probabilities (picking the best and the worst alternative from an offered set). Doignon (2023) presented a complete characterization of the best-worst-choice polytope on four alternatives. Moreover, using polytope methods he showed that the Block-Marschak inequalities for best-worst choices are not sufficient for a random utility representation of best-worst choices for sets of four or more alternatives. Following the approach of Falmagne (1978), we construct a probability measure on the set of rankings for a set of four alternatives implying a random utility representation. |
| title | A technical note on finite best-worst random utility model representations |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2408.08165 |