Comparing Voting by Committees According to their Manipulability

We consider the class of voting by committees to be used by a society to collectively choose a subset from a given set of objects. We offer a simple criterion to compare two voting by committees without dummy agents according to their manipulability. This criterion is based on the set-inclusion rela...

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Detalhes bibliográficos
Autores: Arribillaga, R. Pablo|||0000-0002-0521-0301, Massó, Jordi|||0000-0003-3712-0041
Formato: artículo
Fecha de publicación:2017
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:182482
Acesso em linha:https://ddd.uab.cat/record/182482
https://dx.doi.org/urn:doi:10.1257/mic.20160107
Access Level:acceso abierto
Palavra-chave:Social Choice
Clubs
Committees
Associations
Political Processes
Rent-seeking
Lobbying
Elections
Legislatures
Voting Behavior
Descrição
Resumo:We consider the class of voting by committees to be used by a society to collectively choose a subset from a given set of objects. We offer a simple criterion to compare two voting by committees without dummy agents according to their manipulability. This criterion is based on the set-inclusion relationships between the two corresponding pairs of sets of objects, those at which each agent is decisive and those at which each agent is vetoer. We show that the binary relation "to be as manipulable as" endows the set of equivalence classes of anonymous voting by committees (i.e., voting by quotas) with a complete upper semilattice structure, whose supremum is the equivalence class containing all voting by quotas with the property that the quota of each object is strictly larger than one and strictly lower than the number of agents. Finally, we extend the comparability criterion to the full class of all voting by committees.