A Short Derivation of the Kuhn-Tucker Conditions

Yoshihiro Tanaka

Graduate School of Economics and Business Administration, Hokkaido University, Sapporo, Japan.

DOI: 10.4236/ojop.2015.42006                

Abstract

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.

Keywords

Farkas’s Lemma, Kuhn-Tucker Conditions, The Method of Lagrange Multipliers, Economics

Conflicts of Interest

The authors declare no conflicts of interest.

References

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