Group Strategy-Proof Social Choice Functions with Binary Ranges and Arbitrary Domains: Characterization Results

Salvador Barberà; Dolors Berga; Bernardo Moreno

doi:10.1007/s00182-011-0305-7

Group Strategy-Proof Social Choice Functions with Binary Ranges and Arbitrary Domains: Characterization Results

Salvador Barberà^*, Dolors Berga, Bernardo Moreno

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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.

Idioma original	English
Pàgines (de-a)	791-808
Revista	International Journal of Game Theory
Volum	41
Número	4
DOIs	https://doi.org/10.1007/s00182-011-0305-7
Estat de la publicació	Publicada - de des. 2012

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10.1007/s00182-011-0305-7

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Diseño institucional y buenas prácticas de gobierno: teoría, aplicaciones y simulación. INDAGO
Barberà, S. (Investigador/a principal), Ayllon Aragon, G. (Becari/a), Balart Castro, P. (Becari/a), Caramuta ., D. (Becari/a), Filippos , L. (Becari/a), Gjorgjiev, R. (Becari/a), Li , N. (Becari/a), Merlino , L. P. (Becari/a), Ozturk , T. (Becari/a), Bervoets ., S. J. (Investigador/a contractat/da), Beviá Baeza, M. D. C. (Investigador/a contractat/da), Ballester Oyarzun, M. A. (Investigador/a), Brown, D. J. (Investigador/a), Calsamiglia Costa, C. (Investigador/a), Coelho, D. (Investigador/a), Flamand ., S. (Investigador/a), Groenert ., V. (Investigador/a), Haeringer , G. (Investigador/a), Jackson, M. O. (Investigador/a), Massó, J. (Investigador/a), Miralles Asensio, A. (Investigador/a), Mukherjee ., S. (Investigador/a), Neme, A. (Investigador/a), Nicolo, A. (Investigador/a), Nozomu , M. (Investigador/a) & Vila Carnicero, F. J. (Investigador/a)
Ministerio de Educación y Ciencia (MEC)
1/01/09 → 30/07/15
Projecte: Projectes i Ajuts a la Recerca

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title = "Group Strategy-Proof Social Choice Functions with Binary Ranges and Arbitrary Domains: Characterization Results",

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.",

keywords = "Binary ranges, Groupstrategy-proofness, Social choice functions, xy-Based rules, xy-Monotonicity",

author = "Salvador Barber{\`a} and Dolors Berga and Bernardo Moreno",

note = "Acknowledgements We would like to thank the comments ofWalter Bossert and Luis Corch{\'o}n.We also appreciate the editor and referees{\textquoteright} suggestions. Salvador Barber{\`a} gratefully acknowledges support from the SpanishMinistry of Science and Innovation through grant “Consolidated Group-C” ECO2008-04756, from the Generalitat de Catalunya, Departament d{\textquoteright}Universitats, Recerca i Societat de la Informaci{\'o} through the Distinci{\'o} per a la Promoci{\'o} de la Recerca Universit{\`a}ria 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.",

year = "2012",

month = dec,

doi = "10.1007/s00182-011-0305-7",

language = "English",

volume = "41",

pages = "791--808",

journal = "International Journal of Game Theory",

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AU - Barberà, Salvador

AU - Berga, Dolors

AU - Moreno, Bernardo

N1 - Acknowledgements We would like to thank the comments ofWalter Bossert and Luis Corchón.We also appreciate the editor and referees’ suggestions. Salvador Barberà gratefully acknowledges support from the SpanishMinistry of Science and Innovation through grant “Consolidated Group-C” ECO2008-04756, from the Generalitat de Catalunya, Departament d’Universitats, Recerca i Societat de la Informació through the Distinció per a la Promoció de la Recerca Universitària 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.

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Y1 - 2012/12

N2 - 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.

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KW - Social choice functions

KW - xy-Based rules

KW - xy-Monotonicity

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Group Strategy-Proof Social Choice Functions with Binary Ranges and Arbitrary Domains: Characterization Results

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