New Characterizations of Strategy-Proofness under Single-Peakedness
Jennings, Andrew; Laraki, Rida; Puppe, Clemens; Varloot, Estelle (2021), New Characterizations of Strategy-Proofness under Single-Peakedness. https://basepub.dauphine.psl.eu/handle/123456789/22781
TypeDocument de travail / Working paper
Series titlePreprint Lamsade
MetadataShow full item record
Arizona State University
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Karlsruhe Institute of Technology [KIT]
University of Liverpool
Abstract (EN)We provide novel simple representations of strategy-proof voting rules when voters have uni-dimensional single-peaked preferences (as well as multi-dimensional separable preferences). The analysis recovers, links and unifies existing results in the literature such as Moulin's classic characterization in terms of phantom voters and Barber\`a, Gul and Stacchetti's in terms of winning coalitions ("generalized median voter schemes"). First, we compare the computational properties of the various representations and show that the grading curve representation is superior in terms of computational complexity. Moreover, the new approach allows us to obtain new characterizations when strategy-proofness is combined with other desirable properties such as anonymity, responsiveness, ordinality, participation, consistency, or proportionality. In the anonymous case, two methods are single out: the -- well know -- ordinal median and the -- most recent -- linear median.
Subjects / Keywordsvoting rules
Showing items related by title and author.
Awad, Edmond; Caminada, Martin; Pigozzi, Gabriella; Podlaszewski, Mikolaj; Rahwan, Iyad (2017) Article accepté pour publication ou publié