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, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 24 June 2019

Convex Programming

Convex Programming

Chapter:
(p.401) V.2 Convex Programming
Source:
Logic of Choice and Economic Theory
Author(s):

S. N. Afriat

Publisher:
Oxford University Press
DOI:10.1093/0198284616.003.0025

This is the second of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making. It introduces convexity conditions, and shows where they have effect, together with Slater's condition, in assuring the existence of a support to the limit function, so providing Lagrange multipliers, or shadow prices, of resources that have part in the optimality conditions. Then for the case of differentiable functions the Kuhn–Tucker conditions are obtained. The six sections of the chapter are: convexity; programming convexity theorem; Slater's condition; optimality theorem; non‐negative maxima; the Kuhn–Tucker conditions.

Keywords:   choice, convex programming, convexity theorem, economic theory, Kuhn–Tucker conditions, Lagrange multipliers, limit function, mathematical economics, optimal programming, optimality theorem, shadow price, Slater's condition

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 .