(Weak) Pairwise Justifiability as a Common Root of Arrow’s and the Gibbard-Satterthwaite Theorems

S. Barberà; Dolors Berga; Bernardo Moreno; Antonio Nicolò

(Weak) Pairwise Justifiability as a Common Root of Arrow’s and the Gibbard-Satterthwaite Theorems

S. Barberà, Dolors Berga^*, Bernardo Moreno, Antonio Nicolò

^*Autor corresponent d’aquest treball

Producció científica: Document de treball

Resum

We introduce a novel principle that we call pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard-Satterthwaite theorem and Arrow’s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders.

Idioma original	Anglès
Estat de la publicació	Publicada - 10 d’abr. 2023

Sèrie de publicacions

Nom	SSRN
Editor	Social Science Research Network
Núm.	4497078

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https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4497078

1 Acabat

ELECCION SOCIAL, REDES Y BIENESTAR: TEORIA Y APLICACIONES
Massó, J. (PI), Barberà, S. (Col.laborador/a), Sancho, F. (Col.laborador/a), Guerra Hernandez, A. I. (Investigador/a), Milán Solé, P. (Investigador/a), Vila Carnicero, F. J. (Investigador/a), Payró, F. (Col.laborador/a), Lleonart Anguix, M. (Col.laborador/a), Chatterji, S. (Col.laborador/a), Bramuelle, Y. (Col.laborador/a) & Rojas Duenas, L. E. (Col.laborador/a)
1/09/21 → 31/08/24
Projecte: Projectes i Ajuts a la Recerca

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title = "(Weak) Pairwise Justifiability as a Common Root of Arrow{\textquoteright}s and the Gibbard-Satterthwaite Theorems",

abstract = "We introduce a novel principle that we call pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard-Satterthwaite theorem and Arrow{\textquoteright}s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders.",

keywords = "Pairwise justifiability, social choice functions, social welfare functions, Arrow{\textquoteright}s theorem, Gibbard-Satterthwaite{\textquoteright}s theorem",

author = "S. Barber{\`a} and Dolors Berga and Bernardo Moreno and Antonio Nicol{\`o}",

note = "Salvador Barber`a acknowledges financial support from the Spanish Agencia Estatal de Investigaci´on (AEI), through the Severo Ochoa Programme for Centres of Excellence in R&D (Barcelona School of Economics CEX2019-000915-S), and from grant PID2020-116771GB-I00 funded by MCIN/AEI/10.13039/501100011033 and from the Generalitat de Catalunya, through grant 2021SGR00194. Dolors Berga and Antonio Nicol`o thank the support from project PID2019-106642GB-I00 financed by MCIN/AEI/10.13039/501100011033. D. Berga also thanks the support from the Generalitat de Catalunya, through grant 2021SGR00570. Bernardo Moreno acknowledges the support from project PID2020-114309GB-I00 financed by MCIN/AEI/10.13039/501100011033.",

year = "2023",

month = apr,

day = "10",

language = "English",

series = "SSRN",

publisher = "Social Science Research Network",

number = "4497078",

type = "WorkingPaper",

institution = "Social Science Research Network",

}

TY - UNPB

T1 - (Weak) Pairwise Justifiability as a Common Root of Arrow’s and the Gibbard-Satterthwaite Theorems

AU - Barberà, S.

AU - Berga, Dolors

AU - Moreno, Bernardo

AU - Nicolò, Antonio

N1 - Salvador Barber`a acknowledges financial support from the Spanish Agencia Estatal de Investigaci´on (AEI), through the Severo Ochoa Programme for Centres of Excellence in R&D (Barcelona School of Economics CEX2019-000915-S), and from grant PID2020-116771GB-I00 funded by MCIN/AEI/10.13039/501100011033 and from the Generalitat de Catalunya, through grant 2021SGR00194. Dolors Berga and Antonio Nicol`o thank the support from project PID2019-106642GB-I00 financed by MCIN/AEI/10.13039/501100011033. D. Berga also thanks the support from the Generalitat de Catalunya, through grant 2021SGR00570. Bernardo Moreno acknowledges the support from project PID2020-114309GB-I00 financed by MCIN/AEI/10.13039/501100011033.

PY - 2023/4/10

Y1 - 2023/4/10

N2 - We introduce a novel principle that we call pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard-Satterthwaite theorem and Arrow’s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders.

AB - We introduce a novel principle that we call pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard-Satterthwaite theorem and Arrow’s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders.

KW - Pairwise justifiability

KW - social choice functions

KW - social welfare functions

KW - Arrow’s theorem

KW - Gibbard-Satterthwaite’s theorem

UR - https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4497078

M3 - Working paper

T3 - SSRN

BT - (Weak) Pairwise Justifiability as a Common Root of Arrow’s and the Gibbard-Satterthwaite Theorems

ER -

(Weak) Pairwise Justifiability as a Common Root of Arrow’s and the Gibbard-Satterthwaite Theorems

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ELECCION SOCIAL, REDES Y BIENESTAR: TEORIA Y APLICACIONES

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