Majority Vote Following a debate

Itzhak Gilboa (1, 2) , Nicolas Vieille (2)

1 Department of Cell and Developmental Biology
2 GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC

Voters determine their preferences over alternatives based on cases (or arguments) that are raised in the public debate. Each voter is characterized by a matrix, measuring how much support each case lends to each alternative, and her ranking is additive in cases. We show that the majority vote in such a society can be any function from sets of cases to binary relations over alternatives. A similar result holds for voting with quota in the case of two alternatives.

Mots clés: Case-based decision theory; voting theory; debates

Domaines: Economie et sciences de la décision

Itzhak Gilboa, Nicolas Vieille. Majority Vote Following a debate. 2002. ⟨hal-00593646⟩