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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.07818 |
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| _version_ | 1866929269683257344 |
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| author | Salas-Molina, Francisco Bistaffa, Filippo Rodriguez-Aguilar, Juan A. |
| author_facet | Salas-Molina, Francisco Bistaffa, Filippo Rodriguez-Aguilar, Juan A. |
| contents | We tackle the problem of computing a consensus according to multiple ethical principles -- which can include, for example, the principle of maximum freedom associated with the Benthamite doctrine and the principle of maximum fairness associated with the Rawlsian principles -- among the preferences of different individuals in the context of Group-Decision-Making. More formally, we put forward a novel formalisation of the above-mentioned problem based on a multinorm approximation problem that aims at minimising multiple p-metric distance functions, where each parameter p represents a given ethical principle. Our contribution incurs obvious benefits from a social-choice perspective. Firstly, our approach significantly generalises state-of-the-art approaches that were limited to only two ethical principles (p set to one, for maximum freedom, and p set to infinity, for maximum fairness). Secondly, our experimental results considering an established test case demonstrate that our approach is capable, thanks to a novel re-weighting scheme, to compute a multi-norm consensus that takes into account each ethical principle in a balanced way, in contrast with state-of-the-art approaches that were heavily biased towards the p=1 ethical principle |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07818 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A General Approach for Computing a Consensus in Group Decision Making That Integrates Multiple Ethical Principles Salas-Molina, Francisco Bistaffa, Filippo Rodriguez-Aguilar, Juan A. Theoretical Economics 90B50, 91B14 We tackle the problem of computing a consensus according to multiple ethical principles -- which can include, for example, the principle of maximum freedom associated with the Benthamite doctrine and the principle of maximum fairness associated with the Rawlsian principles -- among the preferences of different individuals in the context of Group-Decision-Making. More formally, we put forward a novel formalisation of the above-mentioned problem based on a multinorm approximation problem that aims at minimising multiple p-metric distance functions, where each parameter p represents a given ethical principle. Our contribution incurs obvious benefits from a social-choice perspective. Firstly, our approach significantly generalises state-of-the-art approaches that were limited to only two ethical principles (p set to one, for maximum freedom, and p set to infinity, for maximum fairness). Secondly, our experimental results considering an established test case demonstrate that our approach is capable, thanks to a novel re-weighting scheme, to compute a multi-norm consensus that takes into account each ethical principle in a balanced way, in contrast with state-of-the-art approaches that were heavily biased towards the p=1 ethical principle |
| title | A General Approach for Computing a Consensus in Group Decision Making That Integrates Multiple Ethical Principles |
| topic | Theoretical Economics 90B50, 91B14 |
| url | https://arxiv.org/abs/2401.07818 |