论文标题
广泛游戏的差异分解
Variance decompositions for extensive-form games
论文作者
论文摘要
游戏中随机性的定量度量对于游戏设计很有用，并且对赌博定律有影响。我们将游戏的结果视为一个随机变量，并得出了可归因于游戏玩家的结果的差异表达式和估计器。我们分析了扑克手，以表明发行卡中的随机性对每只手的结果几乎没有影响。给出了一个简单的示例，以说明如何使用方差分解来测量游戏的其他有趣属性。
Quantitative measures of randomness in games are useful for game design and have implications for gambling law. We treat the outcome of a game as a random variable and derive a closed-form expression and estimator for the variance in the outcome attributable to a player of the game. We analyze poker hands to show that randomness in the cards dealt has little influence on the outcomes of each hand. A simple example is given to demonstrate how variance decompositions can be used to measure other interesting properties of games.
