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(Weak) Pairwise Justifiability as a common root of Arrow’s and the Gibbard-Satterthwaite theorems

Authors: Salvador Barberà; Dolors Berga; Bernardo Moreno; Antonio Nicolò;

(Weak) Pairwise Justifiability as a common root of Arrow’s and the Gibbard-Satterthwaite theorems

Abstract

Abstract 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).

Countries
United Kingdom, Spain, United Kingdom
Keywords

Pairwise justifiability, Social choice functions, Strategy, Multiple criteria decision making, Arrow's theorem, Choice, Gibbard-Satterthwaite, Teoria de, Arrow, Paradoxa de, Gibbard-Satterthwaite theory, Arrow paradox, Decisió multicriteri, Gibbard-Satterthwaite's theorem, Elección social, Toma de decisiones

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
hybrid