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A Short Derivation of the Kuhn-Tucker Conditions

Author

Listed:
  • Tanaka, Yoshihiro

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.

Suggested Citation

  • Tanaka, Yoshihiro, 2011. "A Short Derivation of the Kuhn-Tucker Conditions," Discussion paper series. A 234, Graduate School of Economics and Business Administration, Hokkaido University.
    • Handle: RePEc:hok:dpaper:234
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    File URL: http://hdl.handle.net/2115/45177
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    File URL: https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/45177/3/DPA234_new.pdf
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    More about this item

    Keywords

    Farkas's lemma; Kuhn-Tucker conditions; the method of Lagrange multipliers; economics; C60; C61;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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