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arXiv 1606.07520cs.AIcs.LO
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无意识的标准状态空间模型

Standard State Space Models of Unawareness (Extended Abstract)

University of Oslo(奥斯陆大学);New York University(纽约大学)

Peter Fritz, Harvey Lederman

摘要:

Dekel、Lipman和Rustichini的不可能性定理被认为证明了标准的状态空间模型不能用来表示无意识。我们首先表明,Dekel,李普曼和Rustichini不建立这种说法。然后,我们区分三个概念的意识,并认为,虽然其中之一可能无法充分利用标准状态空间建模,没有理由认为,标准状态空间不能提供其他两个概念的模型。事实上,这些意识形式的标准空间模型非常简单。它们允许我们轻松地证明完备性和可判定性结果,从判定理论中继承标准技术,并直接添加命题量词。

英文摘要:

The impossibility theorem of Dekel, Lipman and Rustichini has been thought to demonstrate that standard state-space models cannot be used to represent unawareness. We first show that Dekel, Lipman and Rustichini do not establish this claim. We then distinguish three notions of awareness, and argue that although one of them may not be adequately modeled using standard state spaces, there is no reason to think that standard state spaces cannot provide models of the other two notions. In fact, standard space models of these forms of awareness are attractively simple. They allow us to prove completeness and decidability results with ease, to carry over standard techniques from decision theory, and to add propositional quantifiers straightforwardly.

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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