Symmetry groups for social preference functions
Bibliographic Data
| ID | 11285654 |
|---|---|
| Authors | Daniela Bubboloni (0000-0002-1639-9525, University of Florence, corresponding author), Francesco Nardi (0000-0003-0271-9855, University of Florence) |
| Year | 2024 |
| Volume | 132 |
| Pages | 1-14 |
| Publication date | 2024-12-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Mathematical Social Sciences (JOURNAL) |
| Journal identifiers | ISSN: 0165-4896 • E-ISSN: 1879-3118 |
| Publisher | Elsevier BV (PUBLISHER) |
| DOI | 10.1016/j.mathsocsci.2024.07.004 |
| OpenAlex | W4401541098 |
| Language | EN |
| References cited | 13 |
We introduce the anonymity group, the neutrality group and the symmetry group of a social preference function. Inspired by an unsolved problem posed by Kelly in 1991, we investigate the problem of recognizing which permutation groups may arise as anonymity, neutrality and symmetry groups of a social preference function. A complete description is provided for neutrality groups. In the case of anonymity groups, we derive a sufficient condition, which largely captures the desired class of objects. Our approach also is of relevance for the notion of representability by Boolean functions and, therefore, the results of this paper also shed some light on this field of study
Geometry · Group (periodic table · Mathematical economics · Physics · Preference · Pure mathematics · Quantum mechanics · Statistics · Symmetry (geometry · Advanced Graph Theory Research · Advanced Topics in Algebra · Graph theory and applications · Mathematics · Psychology
| Citation velocity | historical |
|---|---|
| Highly cited | No |