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Group strategy-proof social choice functions with binary ranges and arbitrary domains: Characterization results

We define different concepts of group strategy-proofness for social choice functions. We discuss the connections between the defined concepts under different assumptions on their domains of definition. We characterize the social choice functions that satisfy each one of them and whose ranges consist of two alternatives, in terms of two types of basic properties. Finally, we obtain the functional form of all rules satisfying our strongest version of group strategy-proofness

Salvador Barbera gratefully acknowledges support from the Spanish Ministry of Science and Innovation through grant "Consolidated Group-C" ECO2008-04756, from the Generalitat de Catalunya, Departament d’Universitats, Recerca i Societat de la Informacio through the Distincio per a la Promocio de la Recerca Universitaria and grant SGR2009-0419. Dolors Berga acknowledges the support of the Spanish Ministry of Science and Innovation through grants SEJ2007-60671 and ECO2010-16353 and of Generalitat de Catalunya, through grant SGR2009-0189. She also acknowledges the Research Recognition Programme of the Barcelona GSE. Bernardo Moreno gratefully acknowledges financial support from Junta de Andalucia through grant SEJ4941 and the Spanish Ministry of Science and Technology through grant ECO2008-03674

Springer Verlag

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Author: Barberà, Salvador
Berga, Dolors
Moreno, Bernardo
Abstract: We define different concepts of group strategy-proofness for social choice functions. We discuss the connections between the defined concepts under different assumptions on their domains of definition. We characterize the social choice functions that satisfy each one of them and whose ranges consist of two alternatives, in terms of two types of basic properties. Finally, we obtain the functional form of all rules satisfying our strongest version of group strategy-proofness
Salvador Barbera gratefully acknowledges support from the Spanish Ministry of Science and Innovation through grant "Consolidated Group-C" ECO2008-04756, from the Generalitat de Catalunya, Departament d’Universitats, Recerca i Societat de la Informacio through the Distincio per a la Promocio de la Recerca Universitaria and grant SGR2009-0419. Dolors Berga acknowledges the support of the Spanish Ministry of Science and Innovation through grants SEJ2007-60671 and ECO2010-16353 and of Generalitat de Catalunya, through grant SGR2009-0189. She also acknowledges the Research Recognition Programme of the Barcelona GSE. Bernardo Moreno gratefully acknowledges financial support from Junta de Andalucia through grant SEJ4941 and the Spanish Ministry of Science and Technology through grant ECO2008-03674
Document access: http://hdl.handle.net/2072/296966
Language: eng
Publisher: Springer Verlag
Rights: Tots els drets reservats
Subject: Elecció social -- Models matemàtics
Social choice -- Mathematical models
Title: Group strategy-proof social choice functions with binary ranges and arbitrary domains: Characterization results
Type: info:eu-repo/semantics/article
Repository: Recercat

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