Multinary group identification
Wonki Cho () and
Biung-Ghi Ju ()
Theoretical Economics, 2017, vol. 12, issue 2
Group identification refers to the problem of classifying individuals into groups (e.g., racial or ethnic classification). We consider a multinary group identification model where memberships to three or more groups are simultaneously determined based on individual opinions on who belong to what groups. Our main axiom requires that membership to each group, say the group of J's, should depend only on the opinions on who is a J and who is not (that is, independently of the opinions on who is a K or an L). This shares the spirit of Arrow's independence of irrelevant alternatives and therefore is termed independence of irrelevant opinions. Our investigation of multinary group identification and the independence axiom reports a somewhat different message from the celebrated impossibility result by Arrow (1951). We show that the independence axiom, together with symmetry and non-degeneracy, implies the liberal rule (each person self-determines her own membership). This characterization provides a theoretical foundation for the self-identification method commonly used for racial or ethnic classifications.
Keywords: Group identification; independence of irrelevant opinions; symmetry; liberalism; one-vote rules (search for similar items in EconPapers)
JEL-codes: C0 D70 D71 D72 (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3) Track citations by RSS feed
Downloads: (external link)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:the:publsh:2156
Access Statistics for this article
Theoretical Economics is currently edited by Simon Board, Federico Echenique, Thomas Mariotti, Florian Scheuer, Ran Spiegler
More articles in Theoretical Economics from Econometric Society
Bibliographic data for series maintained by Martin J. Osborne ().