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Analysis of one-dimensional Yut-Nori game: winning strategy and avalanche-size distribution

机译:一维Yut-Nori博弈分析:获胜策略与策略   雪崩大小分布

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摘要

In the Korean traditional board game Yut-Nori, teams compete by moving theirpieces on the two-dimensional game board, and the team whose all piecescomplete a round trip on the board wins. In every round, teams throw fourwooden sticks of the shape of half-cut cylinder and the number of sticks thatshow belly sides, i.e., the flat sides, determines the number of steps theteam's piece can advance on the board. It is possible to pile up one team'spieces if their sites are identical so that pieces as a group can move togetherafterwards (piling). If a piece of the opponent team is at the new site of oneteam's piece, the piece is caught and removed from the board, and the team isgiven one more chance to throw sticks and proceed (catching). For a simplicity,we simulate this game on one-dimensional board with the same number of sites asthe original game, and show that catching is more advantageous strategy thanpiling to win. We also study the avalanche-size distribution in thermodynamiclimit to find that it follows an exponential form.
机译:在韩国传统的棋盘游戏Yut-Nori中,团队通过在二维游戏板上移动棋子来进行比赛,而所有棋子都完成了棋盘往返的团队将获胜。在每个回合中,团队投掷四根呈半切圆柱形状的木棍,并显示腹部侧面(即平坦侧面)的木棍数量决定了球队在木板上可以前进的步数。如果一个团队的作品相同,则可以堆积它们的棋子,以便团队中的棋子可以一起移动(堆积)。如果一个对手团队的一块位于一个团队的新位置,则该部分被抓住并从木板上移开,这将为该团队再一次扔棍子并继续(接球)的机会。为简单起见,我们在具有与原始游戏相同的站点数的一维棋盘上对该游戏进行了仿真,并证明了接球比起赢得比赛更具优势。我们还研究了热力学极限中的雪崩大小分布,发现它遵循指数形式。

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