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arXiv:2304.04626 (econ)
[Submitted on 10 Apr 2023 (v1) , last revised 13 Apr 2023 (this version, v2)]

Title: On the state-space model of unawareness

Title: 关于无知的状态空间模型

Authors:Alex A.T. Rathke
Abstract: We show that the knowledge of an agent carrying non-trivial unawareness violates the standard property of 'necessitation', therefore necessitation cannot be used to refute the standard state-space model. A revised version of necessitation preserves non-trivial unawareness and solves the classical Dekel-Lipman-Rustichini result. We propose a generalised knowledge operator consistent with the standard state-space model of unawareness, including the model of infinite state-space.
Abstract: 我们证明了携带非平凡未意识到的代理人的知识违反了“必然性”的标准性质,因此不能使用必然性来反驳标准状态空间模型。 必然性的修订版本保留了非平凡未意识到,并解决了经典的 Dekel-Lipman-Rustichini 结果。 我们提出了一种与未意识到的标准状态空间模型一致的广义知识算子,包括无限状态空间模型。
Comments: working paper, please reference this version in further studies
Subjects: General Economics (econ.GN)
Cite as: arXiv:2304.04626 [econ.GN]
  (or arXiv:2304.04626v2 [econ.GN] for this version)
  https://doi.org/10.48550/arXiv.2304.04626
arXiv-issued DOI via DataCite

Submission history

From: Alex Augusto Timm Rathke [view email]
[v1] Mon, 10 Apr 2023 14:45:13 UTC (9 KB)
[v2] Thu, 13 Apr 2023 19:24:59 UTC (9 KB)
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