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| HAL : halshs-00309825, version 1 |
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| Electronic Journal for History of Probability and Statistics 4, 1 (2008) 1-26 |
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| "Mathématique Sociale" and Mathematics. A case study: Condorcet's effect and medians |
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| Bernard Monjardet 1, 2 |
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| (2008) |
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| The "effet Condorcet" refers to the fact that the application of the pair-wise majority rule to individual preference orderings can generate a collective preference containing cycles. Condorcet's solution to deal with this disturbing fact has been recognized as the search for a median in a certain metric space. We describe the many areas of "applied" or "pure" mathematics where the notion of (metric) median has appeared. If it were actually necessary to give examples proving that "social mathematics" is mathematics, the median case would provide a convincing example. |
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| 1 : | Centre d'économie de la Sorbonne (CES) |
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CNRS : UMR8174 – Université Paris I - Panthéon Sorbonne |
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| 2 : | Centre d'Analyse et de Mathématiques Sociales (CAMS) |
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Ecole des Hautes Etudes en Sciences Sociales (EHESS) |
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| Discipline | : | Humanities and Social Sciences/Economy and finances Mathematics/Statistics Statistics/Statistics Theory |
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| Condorcet's effect – Fermat's point – majority rule – "Mathématique sociale" – median algebra – metric space – permutohedron |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| halshs-00309825, version 1 | |
| http://halshs.archives-ouvertes.fr/halshs-00309825 | |
| oai:halshs.archives-ouvertes.fr:halshs-00309825 | |
| Contributeur : Bernard Monjardet | |
| Submitted on : Thursday, 7 August 2008 13:29:00 | |
| Updated on : Monday, 19 December 2011 10:10:27 | |
