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

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  • Federico Fioravanti

    (Universidad Nacional del Sur, CONICET)

  • Fernando Tohmé

    (Universidad Nacional del Sur, CONICET)

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|

Suggested Citation

  • Federico Fioravanti & Fernando Tohmé, 2020. "Asking Infinite Voters ‘Who is a J?’: Group Identification Problems in ℕ$\mathbb {N}$," Journal of Classification, Springer;The Classification Society, vol. 37(1), pages 58-65, April.
    • Handle: RePEc:spr:jclass:v:37:y:2020:i:1:d:10.1007_s00357-018-9295-5
    DOI: 10.1007/s00357-018-9295-5
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    References listed on IDEAS

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