• Citer

On the combinatorial structure of the approval-voting polytope

par Doignon, Jean-Paul ;Regenwetter, Michel
Référence Journal of mathematical psychology, 46, 5, page (554-563)
Publication Publié, 2002-10

Article révisé par les pairs

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

Falmagne and Regenwetter (1996) proposed a probabilistic choice model of approval voting called the size-independent model. This model was investigated geometrically by Doignon and Regenwetter (1997), who introduced the approval-voting polytope associated with the choice model. In an effort to get closer to a full linear description of the polytope, we provide all edges, two-dimensional faces, and a large group of combinatorial automorphisms. Despite the new insights gathered from these results, the main challenge of listing all facets remains an open problem. © 2002 Elsevier Science (USA).