The Limit of the Non-dictatorship Index

Bednay, Dezső, Fleiner, Balázs and Tasnádi, Attila ORCID: https://orcid.org/0000-0003-3252-4223 (2022) The Limit of the Non-dictatorship Index. Pure Mathematics and Applications, 30 (3). pp. 28-33. DOI https://doi.org/10.2478/puma-2022-0021

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Official URL: https://doi.org/10.2478/puma-2022-0021

Abstract

In this paper we determine the asymptotic behavior of the Non-dictatorship Index (NDI) introduced in Bednay, Moskalenko and Tasnádi (2019). We show that if m denotes the number of alternatives, then as the number of voters tends to infinity the NDI of any anonymous voting rule tends to ( m − 1)/ m, which equals the NDI of the constant rule.

Item Type:

Article

Uncontrolled Keywords:

Voting rules, dictatorship, non-dictatorship index

Divisions:

Institute of Data Analytics and Information Systems

Subjects:

Mathematics, Econometrics

DOI:

https://doi.org/10.2478/puma-2022-0021

ID Code:

8103