An ordinal minimax theorem

Felix Brandt, Markus Brill, Warut Suksompong

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish
Pages (from-to)107-112
Number of pages6
JournalGames and Economic Behavior
Volume95
DOIs
StatePublished - 1 Jan 2016

Keywords

  • Minimax theorem
  • Saddles
  • Shapley
  • Zero-sum games

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