Jump to ContentJump to Main Navigation
Logic of Choice and Economic Theory$
Users without a subscription are not able to see the full content.

S. N. Afriat

Print publication date: 1987

Print ISBN-13: 9780198284611

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198284616.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 25 May 2020

Democratic Choice

Democratic Choice

(p.47) I.3 Democratic Choice
Logic of Choice and Economic Theory

S. N. Afriat

Oxford University Press

The chapter discusses group choice. It is seen that, with group choice determined as a function of individual choices, democratically required neutralities inevitably lead to the ordinary voting method. An appraisal of the so‐called voting paradox follows. The remainder of the chapter concerns the group preference theory originated by K. J. Arrow; in addition to an account of principles involved and certain theorems, there is criticism of the ‘welfare’ association of this theory, and some consideration of what it could legitimately be about in the first place. The nine sections of the chapter are: axiomatics of voting—group autonomy, individual anonymity, anonymity of alternatives, the voting principle, unanimity sovereignty, election principle, majority rule; binary elections; the voting paradox; electing an order; democratic impartiality; (Arrow's) irrelevance principle; Hansson's group indifference theorem (which is that impartiality, unanimity, and irrelevance principles imply total group indifference, whereas Afriat concludes that impartiality, unanimity and positive association principles are together impossible); positive association; and Arrow's group dictatorship theorem.

Keywords:   Arrow's impossibility theorem, choice, demand, democratic choice, optimum, positive association, revealed preference, voting

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .