Uniform continuity of the value of zero-sum games with differential information

• 成果类型: Article
• 署名作者: Einy, Ezra; Haimanko, Ori; Moreno, Diego; Shitovitz, Benyamin
• 署名单位: Hitotsubashi University; Ben-Gurion University of the Negev; Universidad Carlos III de Madrid; University of Haifa
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1080.0314
• 发表日期: 2008
• 页码: 552-560
• 关键词: Incomplete information; Similarity

摘要

We establish uniform continuity of the value for zero-sum games with differential information, when the distance between changing information fields of each player is measured by the Boylan pseudometric. We also show that the optimal strategy correspondence is upper semicontinuous when the information fields of players change ( even with the weak topology on players' strategy sets), and is approximately lower semicontinuous.