Majority Voting and Higher-Order Societies

Adrian Miroiu ()
Additional contact information
Adrian Miroiu: National University of Political Studies and Public Administration (SNSPA)

Group Decision and Negotiation, 2021, vol. 30, issue 5, No 1, 983-999

Abstract: Abstract The aim of this paper is to study the applications of social choice functions (scfs) like for example the simple majority rule μ and the consensus rule κ to higher-order societies (i.e., societies that have other societies as members). The focus is on the reducibility property of a scf: its capacity to mimic the behavior of other scfs. It is proved that although κ is not reducible to μ, conversely μ can be reduced to κ. A characterization of the class of scfs reducible to κ is given. Finally, it is proved that some scfs can be extended, in the sense that the application of the scf to a society formed of a large number of members is reducible to iterate applications of that scf to (higher-order) societies formed of only two members.

Keywords: Higher-order societies; Majority rule; Consensus; Reducibility; Binary societies (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10726-021-09744-z 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:grdene:v:30:y:2021:i:5:d:10.1007_s10726-021-09744-z

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10726/PS2

DOI: 10.1007/s10726-021-09744-z

Access Statistics for this article

Group Decision and Negotiation is currently edited by Gregory E. Kersten

More articles in Group Decision and Negotiation from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().