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Mathematical Social Sciences
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Dictatorship versus manipulability

Authors: Dezső Bednay; Anna Moskalenko; Attila Tasnádi; Attila Tasnádi;

Dictatorship versus manipulability

Abstract

The Gibbard–Satterthwaite (1973/75) theorem roughly states that we have to accept dictatorship or manipulability in case of at least three alternatives. A large strand of the literature estimates the degree of manipulability of social choice functions (e.g. Aleskerov and Kurbanov, 1999, Favardin et al., 2002, and Aleskerov et al., 2012), most of them employing the Nitzan-Kelly index of manipulability. We take a different approach and introduce a non-dictatorship index based on our recent work (Bednay et al., 2017), where we have analysed social choice functions based on their distances to the dictatorial rules. By employing computer simulations, we investigate the relationship between the manipulability and nondictatorship indices of some prominent social choice functions, putting them into a common framework. Keywords: Voting rules, dictatorship, manipulability, manipulability index, dictatorship index. JEL Classification Number: D71.

Keywords

Elecció social, social choice functions, Gibbard-Satterthwaite theorem, Social choice, dictatorship, manipulability, 33 - Economia

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citations
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
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bronze