Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.08165 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909317173608448 |
|---|---|
| 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 |