Group identification problems are introduced as the issue of classifying the members of a group in terms of the opinions of their potential members. This involves a finite set of agentsN= {1, 2, horizontal ellipsis ,n}, each one having an opinion about which agents should be classified as belonging to a specific subgroupJ. ACollective Identity Function(CIF) aggregates those opinions yielding the class of members deemedJ. A social planner postulate axioms, intended to ensure fair and socially desirable outcomes, characterizing different CIFs. We postulate axioms (classical and different to the ones found in the literature) constraining the spheres of influence of the agents. We show that some of them lead to different characterizations of the CIFs while in another instance we find an impossibility result.
展开▼
