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The Limit of the Non-dictatorship Index

The Limit of the Non-dictatorship Index AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

The Limit of the Non-dictatorship Index

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Publisher
de Gruyter
Copyright
© 2022 Dezső Bednay et al., published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0021
Publisher site
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Abstract

AbstractIn 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.

Journal

Pure Mathematics and Applications – de Gruyter

Published: Oct 1, 2022

Keywords: Voting rules; dictatorship; non-dictatorship index; 91B12

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