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The Limit of the Non-dictatorship Index

Dezső Bednay
Dezső Bednay
, 
Balázs Fleiner
Balázs Fleiner
 and 
Attila Tasnádi
Attila Tasnádi
   | Nov 07, 2022
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Pure Mathematics and Applications
Volume 30 (2022): Issue 3 (October 2022)
Special issue dedicated to 70th anniversary of prof. Peter Tallos
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Published Online: Nov 07, 2022
Page range: 28 - 33
Received: Sep 12, 2021
DOI: https://doi.org/10.2478/puma-2022-0021
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© 2022 Dezső Bednay et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

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