An ordinal minimax theorem

• 成果类型: Article
• 署名作者: Brandt, Felix; Brill, Markus; Suksompong, Warut
• 署名单位: Technical University of Munich; Duke University; Stanford University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2015.12.010
• 发表日期: 2016
• 页码: 107-112
• 关键词: Zero-sum games; Shapley; Saddles; Minimax theorem

摘要

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 unique set-based value. (C) 2016 Elsevier Inc. All rights reserved.