基于理论计算机科学的井字游戏制胜策略模型

S. Garg, Dalpat Songara, S. Maheshwari
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引用次数: 3

摘要

井字游戏是一种非常流行的游戏,由两名参与者在3乘3的网格上玩。一个特殊的符号(X或O)被分配给每个参与者,以表示该插槽由各自的参与者覆盖。游戏的赢家是第一个覆盖水平,垂直或对角线的棋盘上只有他们的符号的参与者。本文提出了一种井字游戏的制胜策略,并利用多磁带图灵机,运用理论计算机科学的概念对其计算进行了理论证明。该算法是为计算机作为玩家而设计的,计算机根据模型的智能来操作,以最大化成功的机会。人类玩家可以做出自己的选择。任何玩家都可以根据自己的选择先玩。计算规则确保计算机选择最佳的槽位,这将导致胜利或阻止对手采取胜利的行动。本文是“基于多磁带图灵机的一字棋博弈赢家决策模型”的推广工作。这项工作的贡献是设计了一种策略来玩井字游戏,计算机永远不会输。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The winning strategy of Tic Tac Toe Game model by using Theoretical Computer Science
Tic-Tac-Toe Game is a very popular game played by two participants on the grid of 3 by 3. A special symbol (X or O) is assigned to each participant to indicate that the slot is covered by the respective participant. The winner of the game is the participant who first cover a horizontal, vertical or diagonal row of the board having only their symbols. This paper proposed a winning strategy of Tic-Tac-Toe game and its computation is proved theoretically by the concepts of Theoretical Computer Science using multi-tape turing machine. This algorithm is designed for computer as a player in which computer act according to the intelligence of model to maximize the chances of success. The human player can makes its own choices. Any of the player can play first by their choice. The computation rules ensures selection of best slot for computer that will lead to win or prevent opponent to make a winning move. This is extended work of the paper “The Winner Decision Model of Tic-Tac-Toe Game by using Multi-Tape Turing Machine”. The contribution of this work is to design a strategy to play Tic-Tac-Toe game in which computer will never lose.
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