Arrovian impossibilities in aggregating preferences over non-resolute outcomes
Küçük Resim Yok
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let A be a set of alternatives whose power set is (A) under bar. Elements of (A) under bar are interpreted as non-resolute outcomes. We consider the aggregation of preference profiles over (A) under bar into a (social) preference over (A) under bar. In case we allow individuals to have any complete and transitive preference over (A) under bar, Arrow's impossibility theorem naturally applies. However, the Arrovian impossibility prevails, even when the set of admissible preferences over A is severely restricted. In fact, we identify a mild regularity condition which ensures the dictatoriality of a domain. Regularity is compatible with almost all standard extension axioms of the literature. Thus, we interpret our results as the strong prevalence of Arrow's impossibility theorem in aggregating preferences over non-resolute outcomes.
Açıklama
Anahtar Kelimeler
Social-Welfare Functions, Ranking Opportunity Sets, Ordinal Probabilities, Voting Procedures, Choice Functions, Strategy-Proof, Majority-Rule, Power Set, Manipulation, Extension
Kaynak
Social Choice and Welfare
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
30
Sayı
3
