Removal independence and multi-consensus functions
Mathématiques informatique et sciences humaines, Tome 148 (1999), pp. 31-40.

Vincke et Bouyssou ont montré que, si une procédure d'agrégation de préordres totaux peut retourner plusieurs solutions, alors elle peut satisfaire tous les axiomes du théorème d'Arrow sans être pour autant dictatoriale. Nous étendons cette approche aux hiérarchies utilisées en classification. Dans ce contexte, on obtient des résultats qui peuvent différer de ceux de Vincke et de Bouyssou.

Work of Vincke and Bouyssou showed that if aggregation procedures on weak orders are allowed to return more than one result, then it might be possible for a procedure to satisfy all the axioms of Arrow's Theorem yet not be dictatorial. This approach is extended from ordered sets to n-trees, which are set-systems used in classifications theory. Results in this context can differ from those of Vincke and Bouyssou.

Keywords: decision theory, consensus, multi-consensus function, hierarchies, Arrow's theorem
Mots-clés : théorie de la décision, consensus, multi-fonctions de consensus, hiérarchies, théorème d'Arrow 
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Dwyer, Mark; McMorris, Fred R.; Powers, Robert C. Removal independence and multi-consensus functions. Mathématiques informatique et sciences humaines, Tome 148 (1999), pp. 31-40. http://www.numdam.org/item/MSH_1999__148__31_0/

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