Asking infinite voters `Who is a J?' : Group Identification Problems in N

FIORAVANTI FEDERICO; FERNANDO TOHMÉ

Congreso; VIII CNEPE; 2017

We analyze the problem of classing individuals in a group N tak-ing into account their opinions about which of them should belong toa specic subgroup N0 N, in the case that jNj > 1. We showthat this problem is relevant in cases in which the group changes intime and/or is subject to uncertainty. The approach followed hereto nd the ensuing classication is by means of a Collective Iden-tity Function (CIF) that maps the set of opinions into a subset ofN. Kasher and Rubinstein (1997) characterized dierent CIFs ax-iomatically when jNj < 1, in particular the Liberal and Oligarchicaggregators. We show that in the innite setting the liberal result isstill valid but the result no longer holds for the oligarchic case and givea characterization of all the aggregators satisfying the same axioms asthe Oligarchic CIF. In our motivating examples, the solution obtainedaccording to the alternative CIF is most cogent.