An ordinal minimax theorem

Felix Brandt, Markus Brill and Warut Suksompong

Games and Economic Behavior, 2016, vol. 95, issue C, 107-112

Abstract: In the early 1950s Lloyd Shapley proposed an ordinal and set-valued solution concept for zero-sum games called weak saddle. We show that all weak saddles of a given zero-sum game are interchangeable and equivalent. As a consequence, every such game possesses a unique set-based value.

Keywords: Zero-sum games; Shapley; Saddles; Minimax theorem (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:95:y:2016:i:c:p:107-112

DOI: 10.1016/j.geb.2015.12.010

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