Alternative Axioms in Group Identification Problems

FEDERICO FIORAVANTI; FERNANDO TOHMÉ

Congreso; LV Reunión Anual de la AAEP; 2020

Group identification problems are introduced as the issue of classifying the members ofa group in terms of the opinions of their potential members. This involves a finite set ofagents N = {1, 2, . . . , n}, each one having an opinion about which agents should be classifiedas belonging to a specific subgroup J. A Collective Identity Function (CIF) aggregatesthose opinions yielding the class of members deemed J . A social planner postulate axioms,intended to ensure fair and socially desirable outcomes, characterizing different CIFs. Wepostulate axioms (classical and different to the ones found in the literature) constrainingthe spheres of influence of the agents. We show that some of them lead to differentcharacterizations of the CIFs while in another instance we find an impossibility result.