A measure of choice irrationality based on opposite judgements
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918525498556416 |
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| author | Petralia, Angelo Enrico |
| author_facet | Petralia, Angelo Enrico |
| contents | In many choice settings the decision maker (DM) adopts a criterion which is a mediation between her preference, and its opposite. According to such compromise, the first i alternatives on top of the DM's taste are moved, in reverse order, to the bottom. This pattern allows to define the compromise-based degree of irrationality, which quantifies the extent of the mediation embraced by the DM in her choice. Necessary and sufficient conditions characterizing this index are singled out. I investigate non rationalizable choices that display the lowest degree of irrationality, and I fully identify the preferences that explain the DM's picks by a minimal mediation between opposite judgments. These datasets account for some well known selection biases, such as second-best procedures, and the handicapped avoidance. I offer a simple characterization of the choice behavior that exhibits the most severe compromise, and I show that this subclass comprises almost all choices. Finally, some alternative measures of compromise are characterized, and compared with the score previously determined. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_01421 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A measure of choice irrationality based on opposite judgements Petralia, Angelo Enrico Theoretical Economics In many choice settings the decision maker (DM) adopts a criterion which is a mediation between her preference, and its opposite. According to such compromise, the first i alternatives on top of the DM's taste are moved, in reverse order, to the bottom. This pattern allows to define the compromise-based degree of irrationality, which quantifies the extent of the mediation embraced by the DM in her choice. Necessary and sufficient conditions characterizing this index are singled out. I investigate non rationalizable choices that display the lowest degree of irrationality, and I fully identify the preferences that explain the DM's picks by a minimal mediation between opposite judgments. These datasets account for some well known selection biases, such as second-best procedures, and the handicapped avoidance. I offer a simple characterization of the choice behavior that exhibits the most severe compromise, and I show that this subclass comprises almost all choices. Finally, some alternative measures of compromise are characterized, and compared with the score previously determined. |
| title | A measure of choice irrationality based on opposite judgements |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2601.01421 |