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添加78字节 、 2021年1月4日 (一) 16:21
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本词条由Solitude初步翻译<br>
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本词条由Solitude初步翻译<br>,由Steve Luo审校中,给您阅读带来不便,请见谅。
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Combinatorial game theory (CGT) is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a position in which the players take turns changing in defined ways or moves to achieve a defined winning condition. CGT has not traditionally studied games of chance or those that use imperfect or incomplete information, favoring games that offer perfect information in which the state of the game and the set of available moves is always known by both players. However, as mathematical techniques advance, the types of game that can be mathematically analyzed expands, thus the boundaries of the field are ever changing. Scholars will generally define what they mean by a "game" at the beginning of a paper, and these definitions often vary as they are specific to the game being analyzed and are not meant to represent the entire scope of the field.
 
Combinatorial game theory (CGT) is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a position in which the players take turns changing in defined ways or moves to achieve a defined winning condition. CGT has not traditionally studied games of chance or those that use imperfect or incomplete information, favoring games that offer perfect information in which the state of the game and the set of available moves is always known by both players. However, as mathematical techniques advance, the types of game that can be mathematically analyzed expands, thus the boundaries of the field are ever changing. Scholars will generally define what they mean by a "game" at the beginning of a paper, and these definitions often vary as they are specific to the game being analyzed and are not meant to represent the entire scope of the field.
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组合博弈论是数学和理论计算机科学的一个分支,主要研究具有完美信息的序贯博弈。研究很大程度上局限于双人游戏,在这种游戏中,玩家轮流以规定的方式或动作来达到规定的制胜条件。CGT传统上并不研究机会博弈,也不研究那些使用不完美或不完整信息的博弈,而是倾向于那些提供完全信息的博弈,在这种博弈中,双方都知道博弈的状态和可用的招数。然而,随着数学技术的进步,可以用数学方法分析的博弈类型不断扩展,因此该领域的边界也在不断变化。学者们通常会在论文的开头对 "博弈 "的含义进行定义,这些定义往往会因所分析的博弈而有所不同,并不代表该领域的全部范围。
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组合博弈论是数学和理论计算机科学的一个分支,主要研究具有完全信息的序贯博弈。研究很大程度上局限于双人游戏,在这种游戏中,玩家以规定的方式或招数轮流变化,以达到规定的制胜条件。CGT传统上并不研究机会博弈,也不研究那些使用不完全或不完整信息的博弈,而是倾向于那些提供完全信息的博弈,在这种博弈中,双方都知道博弈的状态和可用的招数。然而,随着数学技术的进步,可以用数学方法分析的博弈类型不断扩展,因此该领域的边界也在不断变化。学者们通常会在论文的开头定义他们所说的 "博弈 ",这些定义经常随着他们所分析的特定博弈而变化,并不代表该领域的全部范围。
     
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