Asking Infinite Voters ‘Who is a J?’: Group Identification Problems in ℕ$\mathbb {N}$

Federico Fioravanti () and Fernando Tohmé
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Federico Fioravanti: Universidad Nacional del Sur, CONICET

Journal of Classification, 2020, vol. 37, issue 1, No 5, 58-65

Abstract: Abstract We analyze the problem of classifying individuals in a group N taking into account their opinions about which of them should belong to a specific subgroup N′⊆ N, in the case that |N| > ∞. We show that this problem is relevant in cases in which the group changes in time and/or is subject to uncertainty. The approach followed here to find the ensuing classification is by means of a Collective Identity Function (CIF) that maps the set of opinions into a subset of N. Kasher and Rubinstein (Logique & Analyse, 160, 385–395 1997) characterized different CIFs axiomatically when |N|

Keywords: Social choice; Aggregation group identification problem; Infinite voters (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00357-018-9295-5

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