On strategy-proofness and symmetric single-peakedness

We characterize the class of strategy-proof social choice functions on the domain of symmetric single-peaked preferences. This class is strictly larger than the set of generalized median voter schemes (the class of strategy-proof and tops-only social choice functions on the domain of single-peaked p...

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Detalles Bibliográficos
Autores: Massó, Jordi|||0000-0003-3712-0041, Moreno de Barreda, Inés|||0009-0007-2968-8143
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:143785
Acceso en línea:https://ddd.uab.cat/record/143785
https://dx.doi.org/urn:doi:10.1016/j.geb.2010.12.001
Access Level:acceso abierto
Palabra clave:Elecció social
Strategy-proofness
Single-peaked preferences
Median voter
Feasibility constraints
Descripción
Sumario:We characterize the class of strategy-proof social choice functions on the domain of symmetric single-peaked preferences. This class is strictly larger than the set of generalized median voter schemes (the class of strategy-proof and tops-only social choice functions on the domain of single-peaked preferences characterized by Moulin, 1980) since, under the domain of symmetric single-peaked preferences, generalized median voter schemes can be disturbed by discontinuity points and remain strategy-proof on the smaller domain. Our result identifies the specific nature of these discontinuities which allow to design non-onto social choice functions to deal with feasibility constraints.