RT Journal Article
T1 Collective transitivity in majorities based on difference in support
A1 Llamazares, Bonifacio
A1 Pérez Asurmendi, Patrizia
A1 García-Lapresta, José Luis
AB A common criticism to simple majority voting rule is the slight support that such rule demands to declare an alternative as a winner. Among the distinct majority rules used for diminishing this handicap, we focus on majorities based on difference in support. With these majorities, voters are allowed to show intensities of preference among alternatives through reciprocal preference relations. These majorities also take into account the difference in support between alternatives in order to select the winner. In this paper we have provided some necessary and sufficient conditions for ensuring transitive collective decisions generated by majorities based on difference in support for all the profiles of individual reciprocal preference relations. These conditions involve both the thresholds of support and some individual rationality assumptions that are related to transitivity in the framework of reciprocal preference relations.
PB Elsevier
SN 0165-0114
YR 2013
FD 2013
LK https://hdl.handle.net/20.500.14352/34177
UL https://hdl.handle.net/20.500.14352/34177
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Castilla y León
DS Docta Complutense
RD 20 abr 2025