Again on the Farkas Theorem and the Tucker Key Theorem Proved Easily

Giorgio Giorgi ()
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Giorgio Giorgi: Department of Economics and Management, University of Pavia

No 94, DEM Working Papers Series from University of Pavia, Department of Economics and Management

Abstract: The purpose of this paper is twofold; first, to present a simple proof of the Farkas theorem (or Farkas lemma or Farkas-Minkowski lemma), proof performed through a nonlinear theorem of the alternative; second, to present various new proofs of the so-called "Tucker key theorem", and to show that these two results are essentially equivalent.

Keywords: Farkas lemma; Farkas theorem of the alternative; Tucker key theorem; Gordan theoren; Stiemke theorem; Motzkin theorem (search for similar items in EconPapers)
Pages: 21 pages
Date: 2014-10
New Economics Papers: this item is included in nep-mic
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Persistent link: https://EconPapers.repec.org/RePEc:pav:demwpp:demwp0094

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