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arXiv 1106.3679cs.GT
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利用负荷和允许策略求解Wald对策

Solution of Wald's game using loadings and allowed strategies

Valerio Capraro

摘要:

我们提出了一个新的解释奇怪的现象,一些作者观察到的沃尔德游戏。这种解释是可能的,这要归功于莫里森和作者在以前的一部作品中引入的\emph{loadings}的新语言。使用理论的负载和允许的策略,我们也能够证明沃尔德的游戏承认一个\emph{natural}的解决方案,正如人们可以预期的那样,游戏原来是公平的解决方案。作为一种技术工具,我们引入了\emph{embedding a game into another game}的概念,从理论的角度来看,这可能是有趣的。\emph{En passant}我们找到一个非常简单的例子,一个游戏,它是在无限多个不同的方式。

英文摘要:

We propose a new interpretation of the strange phenomena that some authors have observed about the Wald game. This interpretation is possible thanks to the new language of \emph{loadings} that Morrison and the author have introduced in a previous work. Using the theory of loadings and allowed strategies, we are also able to prove that Wald's game admits a \emph{natural} solution and, as one can expect, the game turns out to be fair for this solution. As a technical tool, we introduce the notion of \emph{embedding a game into another game} that could be of interest from a theoretical point of view. \emph{En passant} we find a very easy example of a game which is loadable in infinitely many different ways.

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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