Changing Types: Information Dynamics for Qualitative Type Spaces
Changing Types: Information Dynamics for Qualitative Type Spaces
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改变类型：定性类型空间的信息动态
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
E. Pacuit
中科院分区：
文献类型：
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作者：
Dominik Klein;E. Pacuit
在有关博弈论认知基础的文献中，可以找到许多不同的方法来描述玩家的知识和信念。我们在这里重点介绍非概率方法。其中最突出的两个是所谓的Klipkeor-Aumann结构和知识结构(Harsanyi型空间的非概率变体)。最近关于Klipke结构的大部分工作都集中在动态扩展和合并这些扩展的简单方法上。我们认为，这些想法中的许多也可以应用于知识结构。我们的主要结果准确地刻画了一种类型可以通过特定类型的信息更新转换为另一种类型的时间。我们在这篇论文中的工作表明，为知识结构(最终是Harsanyi型空间)追求“信息动力学”理论将是有趣的。
Many different approaches to describing the players’ knowledge and beliefs can be found in the literature on the epistemic foundations of game theory. We focus here on non-probabilistic approaches. The two most prominent are the so-called Kripkeor Aumann- structures and knowledge structures (non-probabilistic variants of Harsanyi type spaces). Much of the recent work on Kripke structures has focused on dynamic extensions and simple ways of incorporating these. We argue that many of these ideas can be applied to knowledge structures as well. Our main result characterizes precisely when one type can be transformed into another type by a specific type of information update. Our work in this paper suggest that it would be interesting to pursue a theory of “information dynamics” for knowledge structures (and eventually Harsanyi type spaces).