Arrow's Theorem, Weglorz' Models and the Axiom of Choice

&
Mathematical Logic Quarterly 46 (3):335-359 (2000)
  Copy   BIBTEX

Abstract

Applying Weglorz' mode s of set theory without the axiom of choice, we investigate Arrow-type social we fare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying “finite discrimination”, if and only if in Weglorz' mode there is a free ultrafilter on a set representing the individuals

Categories

Keywords

Reprint years

DOI

10.1002/1521-3870(200008)46:3

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,642

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Arrow's Theorem, Weglorz' Models and the Axiom of Choice.Norbert Brunner & H. Reiju Mihara - 2000 - Mathematical Logic Quarterly 46 (3):335-359.
Łoś's theorem and the axiom of choice.Eleftherios Tachtsis - 2019 - Mathematical Logic Quarterly 65 (3):280-292.
Arrow's Decisive Coalitions.Wesley H. Holliday & Eric Pacuit - 2020 - Social Choice and Welfare 54:463–505.
Arrow's Theorem Weglorz's Models, and the Axiom of Choice.N. Brunner & R. Mihara - 2000 - Mathematical Logic Quarterly 46 (3):335-360.
First-Order Logic Formalisation of Impossibility Theorems in Preference Aggregation.Umberto Grandi & Ulle Endriss - 2013 - Journal of Philosophical Logic 42 (4):595-618.
On the Deductive Strength of Various Distributivity Axioms for Boolean Algebras in Set Theory.Yasuo Kanai - 2002 - Mathematical Logic Quarterly 48 (3):413-426.
Nielsen‐Schreier and the Axiom of Choice.Philipp Kleppmann - 2015 - Mathematical Logic Quarterly 61 (6):458-465.
Multiple choices imply the ingleton and krein–milman axioms.Marianne Morillon - 2020 - Journal of Symbolic Logic 85 (1):439-455.
Nondictatorial social welfare functions with different discrimination structures.Francis Bloch - 1993 - Theory and Decision 34 (2):161-176.
The Birth of Social Choice Theory from the Spirit of Mathematical Logic: Arrow’s Theorem in the Framework of Model Theory.Daniel Eckert & Frederik S. Herzberg - 2018 - Studia Logica 106 (5):893-911.

Analytics

Added to PP
2013-12-01

Downloads
3 (#1,729,579)

6 months
36 (#102,577)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Infinite Populations, Choice and Determinacy.Tadeusz Litak - 2018 - Studia Logica 106 (5):969-999.

Add more citations

References found in this work

No references found.

Add more references