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Domineering:Comments on a Game of No Chance

机译:霸气:关于无机会游戏的评论

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摘要

The game of crosscram was created by Goran Anders son and discussed in an article by Martin Gardner; the game is now more usually referred to as domineering and has attracted the attention of a number of mathematicians since its original presentation in 1974. An analysis of the various configurations is given in the book Winning Ways for Your Mathematical Plays and the result obtained for best play on boards of different dimensions has been given in an article [3]. However, the mathematical formalism is probably rather difficult for individuals who are not familiar with the notation used in game theory. Consequently, we adopt, here, a simpler approach, which should enable readers to play interesting games and possibly to explore some of the mathematical ideas behind the sequential placements of the pieces without becoming too enmeshed in the mathematical formalities. We have used the game successfully in a number of maths masterclass sessions and found that the competitive interactions and strategic aspects are very positive for pupil groups of all ages above ten.
机译:交叉填塞游戏是由Goran Anders儿子创建的,并在Martin Gardner的一篇文章中进行了讨论。自1974年首次发表以来,该游戏现在通常被称为霸气游戏,并吸引了许多数学家的关注。《数学游戏的制胜方法》一书中对各种配置进行了分析,并获得了最佳结果。文章[3]中给出了在不同尺寸的板上玩游戏的信息。但是,对于不熟悉博弈论中所用符号的个人,数学形式主义可能相当困难。因此,我们在这里采用了一种更简单的方法,该方法应使读者能够玩有趣的游戏,并有可能探索作品顺序放置背后的一些数学思想,而又不会过于迷恋数学形式。我们已经在许多数学大师班上成功使用了该游戏,发现对于十岁以上的所有年龄段的学生来说,竞争互动和战略方面都非常积极。

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