提出模糊知识模型,解释为何现实中的信息常含糊不清却仍有效。
Vague Knowledge: Information without Transitivity and Partitions
- 打破传统信息传递的传递性与划分假设,构建非传递不可区分性框架。
- 模糊知识虽无法划分状态空间,但仍能区分部分状态,具备信息量。
- 揭示自然语言沟通的合理性:模糊表达是真实世界知识的忠实反映。
本文放松经济模型中关于信息的传递性与划分结构的常规假设,形式化了模糊知识——即状态间的非传递不可区分性。研究表明,尽管模糊知识无法对状态空间进行划分,但仍具有信息性,能够区分部分状态。此外,这种知识只能通过边界模糊的模糊沟通来准确表达。研究为现实世界中自然语言沟通与定性推理的普遍性提供了微观基础,说明知识在现实中往往具有模糊性。
原文摘要 · Abstract (English)
I relax the standard assumptions of transitivity and partition structure in economic models of information to formalize vague knowledge: non-transitive indistinguishability over states. I show that vague knowledge, while failing to partition the state space, remains informative by distinguishing some states from others. Moreover, it can only be faithfully expressed through vague communication with blurred boundaries. My results provide microfoundations for the prevalence of natural language communication and qualitative reasoning in the real world, where knowledge is often vague.
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