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Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems

Bibliographic Data

ID21470435
AuthorsSalvador Barberà (0000-0001-6586-2398, Universitat Autonòma de Barcelona), Dolors Berga (0000-0002-4873-7904, Universitat de Girona, corresponding author), Bernardo Moreno (0000-0003-0651-4427, Universidad de Málaga), Antonio Nicolò (0000-0001-5405-4889, University of Padua)
Year2025
Volume65
Issue2
Pages309-333
Publication date2025-09-01
Open AccessYes
TypeARTICLE
VenueSocial Choice and Welfare (JOURNAL)
Journal identifiersISSN: 0176-1714 • E-ISSN: 1432-217X
PublisherSpringer Science and Business Media LLC (PUBLISHER)
DOI10.1007/s00355-024-01575-6
OpenAlexW4406143072
LanguageEN
References cited16

We introduce a novel principle that we call weak 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 (also for strict)

Arrow · Arrow's impossibility theorem · Economics · International political economy · Linguistics · Mathematical economics · Pairwise comparison · Political science · Public finance · Social choice theory · Statistics · Auction Theory and Applications · Computer Science · Game Theory and Voting Systems · Law · Logic, Reasoning, and Knowledge · Mathematics · Philosophy

  • Nash Equilibrium and Welfare Optimality

    Eric Maskin•The Review of Economic Studies•1999

  • Manipulation of Voting Schemes

    Allan Gibbard•Econometrica•1973

  • Social Choice and Individual Values

    Kenneth J Arrow, Eric S Maskin•Social Choice and Individual Values•2017

Highly citedNo

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