Abstract This is a study of probabilistically sophisticated choice behavior when the preference relation is incomplete. Invoking the analytical framework of Anscombe and Aumann (1963) and building on the work of Machina and Schmeidler (1995), the paper provides an axiomatic characterization of the general multi-prior multi-utility probabilistically sophisticated representation. In addition, the paper examines the axiomatic foundations for two special cases: complete beliefs and complete tastes. In the former case, the incompleteness is due to ambiguous tastes and in latter case it is due to ambiguous beliefs.

中文翻译：

---

没有完整性的概率复杂性

摘要 这是对偏好关系不完整时概率复杂的选择行为的研究。该论文援引 Anscombe 和 Aumann (1963) 的分析框架并以 Machina 和 Schmeidler (1995) 的工作为基础，提供了一般多先验多效用概率复杂表示的公理化表征。此外，本文还考察了两种特殊情况的公理基础：完全信念和完全趣味。在前一种情况下，不完整性是由于模糊的品味，而在后一种情况下是由于模糊的信念。