On the manipulability of a class of social choice functions: plurality kth rules

Dezső Bednay (), Attila Tasnádi and Sonal Yadav ()
Additional contact information
Sonal Yadav: Umea University

Review of Economic Design, 2022, vol. 26, issue 1, No 7, 127-148

Abstract: Abstract 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.

Keywords: Voting rules; Dictatorship; Manipulability (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10058-021-00258-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:reecde:v:26:y:2022:i:1:d:10.1007_s10058-021-00258-3

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10058

DOI: 10.1007/s10058-021-00258-3

Access Statistics for this article

Review of Economic Design is currently edited by Atila Abdulkadiroglu, Fuhito Kojima and Tilman Börgers

More articles in Review of Economic Design from Springer, Society for Economic Design
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().