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Epistemic Game Theory: Putting Algorithms to Work

机译:认知博弈论:将算法付诸实践

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The aim of this study is to construct an epistemic model in which each rational choice under common belief in rationality is supplemented by a type which expresses such a belief. In practice, the finding of type depends on manual solution approach with some mathematical operations in scope of the theory. This approach becomes less convenient with the growth of the size of the game. To solve this difficulty, a linear programming model is constructed for two-player, static and non-cooperative games to find the type that is supporting that player’s rational choice is optimal under common belief in rationality and maximizing the utility of the game. Since the optimal choice would only be made from rational choices, it is first necessary to eliminate all strictly dominated choices. In real life, the games are usually large sized. Therefore, the elimination process should be performed in a computer environment. Since software related to game theory was mostly prepared with a result-oriented approach for some types of games, it was necessary to develop software to execute the iterated elimination method. With this regard, a program has been developed that determines the choices that are strictly dominated by pure and randomized choices in two-player games. Two functions named “esdc” and “type” are created by using R statistical programming language for the operations performed in both parts, and these functions are added to the content of an R package after its creation with the name EpistemicGameTheory.
机译:这项研究的目的是建立一个认知模型,在该模型中,对共同理性信念下的每个理性选择都以表达这种信念的类型作为补充。在实践中,类型的发现取决于在理论范围内进行一些数学运算的手动求解方法。随着游戏大小的增长,这种方法变得不太方便。为了解决这个难题,我们为两人,静态和非合作游戏构建了线性规划模型,以找到一种类型,该类型可以支持玩家的理性选择在对合理性的普遍信仰和最大化游戏效用的情况下是最优的。由于最佳选择只能从理性选择中做出,因此首先必须消除所有严格控制的选择。在现实生活中,游戏通常是大型的。因此,消除过程应在计算机环境中执行。由于与游戏理论相关的软件大多是针对某些类型的游戏使用面向结果的方法编写的,因此有必要开发执行迭代消除法的软件。考虑到这一点,已经开发了一种程序,该程序确定在两人游戏中由纯粹选择和随机选择严格控制的选择。通过使用R统计编程语言来完成这两个部分中执行的操作,分别创建了两个名为“ esdc”和“ type”的函数,并将这些函数以名称EpistemicGameTheory的名称添加到R包的内容中。

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