论文标题

合并淘汰赛和循环赛:灵活的线性消除锦标赛设计

Merging Knockout and Round-Robin Tournaments: A Flexible Linear Elimination Tournament Design

论文作者

Gokcesu, Kaan, Gokcesu, Hakan

论文摘要

我们提出了一种新的锦标赛结构,将受欢迎的淘汰赛和循环赛结合在一起。与极端消除和没有消除的极端相反,我们的比赛旨在使参与者尽可能像减法消除形式一样线性地消除参与者。从某种意义上说,我们的设计很灵活,它可以适应任何数量的玩家$ n $和任何数量的比赛$ m $。我们的设计满足了许多值得锦标赛选择获胜者的物业,并且可以适应所有参与球员。

We propose a new tournament structure that combines the popular knockout tournaments and the round-robin tournaments. As opposed to the extremes of divisive elimination and no elimination, our tournament aims to eliminate the participants as linearly as possible as a form of subtractive elimination. Our design is flexible in the sense that it can be adapted to any number of players $N$ and any number of matches $M$. Our design satisfies many properties that are desirable for a tournament to select a winner and can be adapted to rank all the participating players.

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