arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2407.05069math.HOcs.GTmath.PR
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游戏《左、中、右》中哪个座位最好?

What's the Best Seat in the Game Left, Center, Right?

Benjamin Richeson, David Richeson

AI总结:

本文用马尔可夫链和蒙特卡洛方法分析骰子游戏《左、中、右》,计算不同玩家数下的期望时长与各座位获胜概率,揭示胜负差异并提出更公平的规则修改。

摘要:

《左、中、右》是一款流行的骰子游戏。我们使用马尔可夫链和蒙特卡洛方法分析该游戏。我们计算了二至八名玩家时的期望游戏时长,并确定了游戏中每名玩家的获胜概率。我们讨论了关于哪些玩家获胜概率最高和最低的令人意外的结论,并提出了一项小幅规则修改,使游戏更加公平一些。

英文摘要:

Left, Center, Right is a popular dice game. We analyze the game using Markov chain and Monte Carlo methods. We compute the expected game length for two to eight players and determine the probability of winning for each player in the game. We discuss the surprising conclusions of which players have the highest and lowest chance of winning, and we propose a small rule change that makes the game a little more fair.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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