文章基本信息

标题：A Short Derivation of the Kuhn-Tucker Conditions
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作者：Yoshihiro Tanaka
期刊名称：Open Journal of Optimization
印刷版ISSN：2325-7105
电子版ISSN：2325-7091
出版年度：2015
卷号：04
期号：02
页码：47-50
DOI：10.4236/ojop.2015.42006
语种：English
出版社：Scientific Research Publishing
摘要：The Kuhn-Tucker conditions have been used to derive many significant results in economics. However, thus far, their derivation has been a little bit troublesome. The author directly derives the Kuhn-Tucker conditions by applying a corollary of Farkas’s lemma under the Mangasarian-Fromovitz constraint qualification and shows the boundedness of Lagrange multipliers.
关键词：Farkas’s Lemma; Kuhn-Tucker Conditions; The Method of Lagrange Multipliers; Economics