"Mathématique Sociale" and Mathematics. A case study: Condorcet's effect and medians
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.
|Date of creation:||2008|
|Date of revision:|
|Publication status:||Published in Electronic Journ@l for History of Probability and Statistics, Ecole des Hautes Etudes en Sciences Sociales, 2008, 4 (1), pp.1-26|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00309825|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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