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Dynamic choice with constant source-dependent relative risk aversion

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  • Costis Skiadas

Abstract

An axiomatic characterization of recursive utility with source-dependent constant relative risk aversion (CRRA), constant elasticity of intertemporal substitution, constant rate of impatience and subjective beliefs is established. The utility form is a minimal extension of Epstein–Zin–Weil utility that allows the CRRA to depend on the source of risk, a dependence that admits an ambiguity aversion interpretation. Dual representations of the proposed recursive utility are discussed and shown to be useful in tackling the central planner problem and associated asset pricing applications. An appendix presents the continuous-time version of the utility form, which preserves the effect of ambiguity aversion under Brownian/Poisson uncertainty, despite its smoothness. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Costis Skiadas, 2015. "Dynamic choice with constant source-dependent relative risk aversion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 393-422, November.
    • Handle: RePEc:spr:joecth:v:60:y:2015:i:3:p:393-422
    DOI: 10.1007/s00199-015-0920-9
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    Cited by:

    1. Łukasz Balbus, 2020. "On recursive utilities with non-affine aggregator and conditional certainty equivalent," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 551-577, September.
    2. Zheng Li & Jingjing Zeng, 2023. "Increasing relative risk taking in a choice context with source-dependent travel time risks," Transportation, Springer, vol. 50(6), pages 2441-2460, December.
    3. Stefan Trautmann & Peter P. Wakker, 2018. "Making the Anscombe-Aumann approach to ambiguity suitable for descriptive applications," Journal of Risk and Uncertainty, Springer, vol. 56(1), pages 83-116, February.

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    More about this item

    Keywords

    Source-dependent risk aversion; Ambiguity aversion ; Recursive utility; Epstein–Zin–Weil utility; Small-risk approximations; D81; D91; G12;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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