Saddle point theorems

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1991 English Publisher:Springer Science and Business Media LLCJournal:International Journal of Game Theory, volume 20, pages 23-32 (issn: 0020-7276, eissn: 1432-1270,

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Authors: T. Radzik;

doi: 10.1007/bf01240564

Saddle point theorems

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Abstract

This paper considers three classes of matrices in terms of the existence ofsaddle points. The classes are described by conditions which are very closely related to the property ofquasi-concavity-convexity of functions of two variables. For the matrices in those classes, necessary and sufficient conditions for the existence of saddle points have been found.

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