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A Short Derivation of the Kuhn-Tucker Conditions

A Short Derivation of the Kuhn-Tucker Conditions
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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. 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.
出处 《Open Journal of Optimization》 2015年第2期47-50,共4页 最优化(英文)
关键词 Farkas’s LEMMA Kuhn-Tucker Conditions The Method of LAGRANGE MULTIPLIERS ECONOMICS Farkas’s Lemma Kuhn-Tucker Conditions The Method of Lagrange Multipliers Economics

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