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: 92,227

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.
Arrow's Theorem Weglorz's Models, and the Axiom of Choice.N. Brunner & R. Mihara - 2000 - Mathematical Logic Quarterly 46 (3):335-360.
Arrow’s theorem and theory choice.Davide Rizza - 2014 - Synthese 191 (8):1847-1856.
Why arrow's impossibility theorem is invalid.Sidney Gendin - 1994 - Journal of Social Philosophy 25 (1):144-159.
Ultrapowers without the axiom of choice.Mitchell Spector - 1988 - Journal of Symbolic Logic 53 (4):1208-1219.
Theory Choice and Social Choice: Okasha versus Sen.Jacob Stegenga - 2015 - Mind 124 (493):263-277.
Arrow's Theorem.Michael Morreau - 2014 - Stanford Encyclopedia of Philosophy: N/A.
A geometric form of the axiom of choice.J. L. Bell - unknown
Theory Choice and Social Choice: Kuhn versus Arrow.Samir Okasha - 2011 - Mind 120 (477):83-115.
First-Order Logic Formalisation of Impossibility Theorems in Preference Aggregation.Umberto Grandi & Ulle Endriss - 2013 - Journal of Philosophical Logic 42 (4):595-618.
Relations between some cardinals in the absence of the axiom of choice.Lorenz Halbeisen & Saharon Shelah - 2001 - Bulletin of Symbolic Logic 7 (2):237-261.
On the Deductive Strength of Various Distributivity Axioms for Boolean Algebras in Set Theory.Yasuo Kanai - 2002 - Mathematical Logic Quarterly 48 (3):413-426.
Limitations on the Fraenkel-Mostowski method of independence proofs.Paul E. Howard - 1973 - Journal of Symbolic Logic 38 (3):416-422.
The Axiom of Choice in Second‐Order Predicate Logic.Christine Gaßner - 1994 - Mathematical Logic Quarterly 40 (4):533-546.
Arrow's Theorem with a fixed feasible alternative.John A. Weymark, Aanund Hylland & Allan F. Gibbard - unknown

Analytics

Added to PP
2014-03-27

Downloads
16 (#910,507)

6 months
5 (#647,370)

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