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Existence and uniqueness of recursive utilities without boundedness

Timothy M. Christensen

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Abstract: 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.

Date: 2020-07, Revised 2021-08
New Economics Papers: this item is included in nep-dge, nep-mic, nep-ore and nep-upt
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Published in Journal of Economic Theory 200 (2022) 105413

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