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Existence and uniqueness of recursive utilities without boundedness

Timothy M. Christensen

Journal of Economic Theory, 2022, vol. 200, issue C

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.

Keywords: Stochastic recursive utility; Ambiguity; Model uncertainty; Existence; Uniqueness (search for similar items in EconPapers)
JEL-codes: C62 C65 D81 E7 G10 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:200:y:2022:i:c:s0022053122000035

DOI: 10.1016/j.jet.2022.105413

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