无界递归效用的存在唯一性
Existence and uniqueness of recursive utilities without boundedness
摘要：
本文推导出原始的，易于验证的充分条件存在性和唯一性的（随机）递归效用的几个重要类别的偏好。为了适应在实践中常用的模型，我们允许状态空间和每周期的效用是无界的。对于我们研究的许多模型，存在性和唯一性是建立在一个单一的，原始的“薄尾”条件下的每周期效用的增长分布。我们提出了几个应用程序强大的偏好，模糊性规避和学习隐藏状态的模型，和爱泼斯坦-津偏好。
英文摘要：
This paper derives primitive, easily verifiable sufficient conditions for existence and uniqueness of (stochastic) recursive utilities for several important classes of preferences. In order to accommodate models commonly used in practice, we allow both the state-space and per-period utilities to be unbounded. For many of the models we study, existence and uniqueness is established under a single, primitive "thin tail" condition on the distribution of growth in per-period utilities. We present several applications to robust preferences, models of ambiguity aversion and learning about hidden states, and Epstein-Zin preferences.
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