论文标题
在具有独特最高分数的循环赛中
On Round-Robin Tournaments with a Unique Maximum Score
论文作者
论文摘要
理查德·阿诺德·爱泼斯坦(Richard Arnold Epstein,1927-2016)于1967年发表了第一版《赌博和统计逻辑理论》。他在第9章中介绍了一些带有n个标记的顶点的圆形锦标赛(完整的面向图表)的材料;他特别没有证据表明,具有最高分数的唯一顶点的概率趋于1,因为n倾向于无穷大。我们这里的目的是为此结果提供一些历史评论和评论。
Richard Arnold Epstein (1927-2016) published the first edition of "The Theory of Gambling and Statistical Logic" in 1967. He introduced some material on round-robin tournaments (complete oriented graphs) with n labeled vertices in Chapter 9; in particular, he stated, without proof, that the probability that there is a unique vertex with the maximum score tends to 1 as n tends to infinity. Our object here is to give a proof of this result along with some historical remarks and comments.