Arrow's Theorem, Weglorz' Models and the Axiom of Choice
2000; Wiley; Volume: 46; Issue: 3 Linguagem: Inglês
10.1002/1521-3870(200008)46
ISSN1521-3870
AutoresNorbert Brunner, H. Reiju Mihara,
Tópico(s)Economic theories and models
ResumoMathematical Logic QuarterlyVolume 46, Issue 3 p. 335-359 Original Paper Arrow's Theorem, Weglorz' Models and the Axiom of Choice Norbert Brunner, Norbert Brunner brunner@edv1.boku.ac.at Department of Mathematics,Universität für Bodenkultur, Gregor Mendel Str.33, A -1180, Wien, AustriaSearch for more papers by this authorH. Reiju Mihara, H. Reiju Mihara reiju@ec.kagawa-u.ac.jp Economics, Kagawa University, Takamatsu, 760-8523, JapanSearch for more papers by this author Norbert Brunner, Norbert Brunner brunner@edv1.boku.ac.at Department of Mathematics,Universität für Bodenkultur, Gregor Mendel Str.33, A -1180, Wien, AustriaSearch for more papers by this authorH. Reiju Mihara, H. Reiju Mihara reiju@ec.kagawa-u.ac.jp Economics, Kagawa University, Takamatsu, 760-8523, JapanSearch for more papers by this author First published: 15 June 2000 https://doi.org/10.1002/1521-3870(200008)46:3 3.0.CO;2-XCitations: 1AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat 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. Citing Literature Volume46, Issue3August 2000Pages 335-359 RelatedInformation
Referência(s)