De nombreux travaux se sont efforcés au cours des années récentes de calculer la probabilité des paradoxes ou des difficultés que la théorie des choix collectifs a mis en évidence. On passe en revue dans cette note les principaux modèles de calcul utilisés dans ces travaux. On applique en outre l'un des modèles présentés au calcul de la probabilité de quelques paradoxes bien connus de la théorie du vote.
A number of papers have recently attempted to calculate the probability of the paradoxes or difficulties that social choice theory has discovered. We review in this note most of the probabilistic models which have been used in these papers. Furthermore, we apply one of these models to the computation of the probability of some well known voting paradoxes.
@article{MSH_1992__120__33_0, author = {Berg, Sven and Lepelley, Dominique}, title = {Note sur le calcul de la probabilit\'e des paradoxes du vote}, journal = {Math\'ematiques informatique et sciences humaines}, pages = {33--48}, publisher = {Ecole des hautes-\'etudes en sciences sociales}, volume = {120}, year = {1992}, mrnumber = {1209061}, zbl = {0845.90016}, language = {fr}, url = {http://archive.numdam.org/item/MSH_1992__120__33_0/} }
TY - JOUR AU - Berg, Sven AU - Lepelley, Dominique TI - Note sur le calcul de la probabilité des paradoxes du vote JO - Mathématiques informatique et sciences humaines PY - 1992 SP - 33 EP - 48 VL - 120 PB - Ecole des hautes-études en sciences sociales UR - http://archive.numdam.org/item/MSH_1992__120__33_0/ LA - fr ID - MSH_1992__120__33_0 ER -
%0 Journal Article %A Berg, Sven %A Lepelley, Dominique %T Note sur le calcul de la probabilité des paradoxes du vote %J Mathématiques informatique et sciences humaines %D 1992 %P 33-48 %V 120 %I Ecole des hautes-études en sciences sociales %U http://archive.numdam.org/item/MSH_1992__120__33_0/ %G fr %F MSH_1992__120__33_0
Berg, Sven; Lepelley, Dominique. Note sur le calcul de la probabilité des paradoxes du vote. Mathématiques informatique et sciences humaines, Tome 120 (1992), pp. 33-48. http://archive.numdam.org/item/MSH_1992__120__33_0/
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