Sion's minimax theorem and Nash equilibrium of symmetric multi-person zero-sum game

Atsuhiro Satoh () and Yasuhito Tanaka

MPRA Paper from University Library of Munich, Germany

Abstract: We will show that Sion's minimax theorem is equivalent to the existence of Nash equilibrium in a symmetric multi-person zero-sum game. If a zero-sum game is asymmetric, maximin strategies and minimax strategies of players do not correspond to Nash equilibrium strategies. However, if it is symmetric, the maximin strategy and the minimax strategy constitute a Nash equilibrium.

Keywords: multi-person zero-sum game; Nash equilibrium; Sion's minimax theorem. (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2017-10-24
New Economics Papers: this item is included in nep-gth, nep-hpe and nep-mic
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https://mpra.ub.uni-muenchen.de/82148/1/MPRA_paper_82148.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/83484/1/MPRA_paper_83484.pdf revised version (application/pdf)

Related works:
Working Paper: Sion's minimax theorem and Nash equilibrium of symmetric multi-person zero-sum game (2018)
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