Jump to ContentJump to Main Navigation
Separability and AggregationThe Collected Works of W. M. Gorman, Volume I$
Users without a subscription are not able to see the full content.

W. M. Gorman, C. Blackorby, and A. F. Shorrocks

Print publication date: 1996

Print ISBN-13: 9780198285212

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198285213.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 26 January 2021

Conditions for Generalized Additive Separability

Conditions for Generalized Additive Separability

(p.183) 13 Conditions for Generalized Additive Separability
Separability and Aggregation

W. M. Gorman (Contributor Webpage)

, C. Blackorby, A. F. Shorrocks
Oxford University Press

This paper is from an unpublished typescript (1970) and is a straightforward elaboration of a referee report on a paper by Robert Pollak that was eventually published in Econometrica (1972). In the paper, Gorman explores the restrictions on preferences arising from Pollak's notion of generalized additive separability. Pollak essentially defines a generalization of separability as a restriction on the form of the demand curves, shows that it is a true generalization, and, in some special cases, finds the corresponding restrictions on direct and indirect utility functions. This leaves open the question of the general form of preferences implied by the demand‐function restrictions, and it is this question that Gorman addresses. He determines the circumstances in which it would be optimal to make intrasector allocations that depend only upon sector‐specific normalized prices and some function of all normalized prices.

Keywords:   additive separability, additivity, demand curves, demand‐function restrictions, generalized additive separability, intrasectoral allocation, normalized prices, separability, utility functions

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 .