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On the manipulability of a class of social choice functions: plurality kth rules
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Economics.
2022 (English)In: Review of Economic Design, ISSN 1434-4742, E-ISSN 1434-4750, Vol. 26, p. 127-148Article in journal (Refereed) Published
Abstract [en]

In this paper we introduce the plurality kth social choice function selecting an alternative, which is ranked kth in the social ranking following the number of top positions of alternatives in the individual ranking of voters. As special case the plurality 1st is the same as the well-known plurality rule. Concerning individual manipulability, we show that the larger k the more preference profiles are individually manipulable. We also provide maximal non-manipulable domains for the plurality kth rules. These results imply analogous statements on the single non-transferable vote rule. We propose a decomposition of social choice functions based on plurality kth rules, which we apply for determining non-manipulable subdomains for arbitrary social choice functions. We further show that with the exception of the plurality rule all other plurality kth rules are group manipulable, i.e. coordinated misrepresentation of individual rankings are beneficial for each group member, with an appropriately selected tie-breaking rule on the set of all profiles.

Place, publisher, year, edition, pages
Springer, 2022. Vol. 26, p. 127-148
Keywords [en]
Dictatorship, Manipulability, Voting rules
National Category
Economics
Identifiers
URN: urn:nbn:se:umu:diva-186920DOI: 10.1007/s10058-021-00258-3ISI: 000684903500001Scopus ID: 2-s2.0-85112422165OAI: oai:DiVA.org:umu-186920DiVA, id: diva2:1587953
Available from: 2021-08-26 Created: 2021-08-26 Last updated: 2022-07-13Bibliographically approved

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Yadav, Sonal

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf