论文标题
关于获奖者在圆形锦标赛中的分数
On the distribution of winners' scores in a round-robin tournament
论文作者
论文摘要
在经典的象棋圆形锦标赛中，$ N $球员中的每一个都赢得，吸引或输掉其他$ N-1 $的球员。胜利奖励球员1分，平局1/2分，损失为0分。我们对在$ {\ displayStyle {n \ select 2}} $ game之后的等级分布的分布感兴趣，即最大得分，第二名等等。一般$ n $的确切分配似乎无法获得；我们获得限制分布。
In a classical chess round-robin tournament, each of $n$ players wins, draws, or loses a game against each of the other $n-1$ players. A win rewards a player with 1 points, a draw with 1/2 point, and a loss with 0 points. We are interested in the distribution of the scores associated with ranks of $n$ players after ${\displaystyle {n \choose 2}}$ games, i.e. the distribution of the maximal score, second maximum, and so on. The exact distribution for a general $n$ seems impossible to obtain; we obtain a limit distribution.
