论文标题
解决三人游戏
Solving the Three-Player-Game
论文作者
论文摘要
在本文中，我们解决了三人游戏的问题。三人游戏由一系列回合组成。共有三名球员。两名球员参加了每个回合，在失败者退出时，第三名球员进入了戒指，另一回合开始了。游戏是否出现了所有六个失败关系。在每回合中，两个球员都以同等的概率获胜。要求一个人计算回合数量的期望。事实证明，这是一个模范问题，涉及概率的理论和动态编程。它可以作为对概率的任何基本或高级教科书有条件期望的章节的实例或练习。
In this paper we solve the three-player-game question. A three-player-game consists of a series of rounds. There are altogether three players. Two players participate in each round, at the end of the round the loser quits and the third player enters the ring and another round starts. The game terminates if all six win-lose relationships appear. During each round, two players win with equal probability. One is asked to calculate the expectation of the number of rounds. It turns out to be an exemplary question that involves probabiltiy theory and dynamic programming. It can serve as an instance or exercise in the chapter of conditional expectation of any elementary or advanced textbook on probability.
