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Stochastic differential utility as the continuous-time limit of recursive utility

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  • Kraft, Holger
  • Seifried, Frank Thomas

Abstract

We establish a convergence theorem that shows that discrete-time recursive utility, as developed by Kreps and Porteus (1978), converges to stochastic differential utility, as introduced by Duffie and Epstein (1992), in the continuous-time limit of vanishing grid size.

Suggested Citation

  • Kraft, Holger & Seifried, Frank Thomas, 2013. "Stochastic differential utility as the continuous-time limit of recursive utility," SAFE Working Paper Series 17, Leibniz Institute for Financial Research SAFE.
    • Handle: RePEc:zbw:safewp:17
    DOI: 10.2139/ssrn.2264293
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    References listed on IDEAS

    as
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    9. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 645-700.
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    More about this item

    Keywords

    Stochastic differential utility; recursive utility; convergence; backward stochastic differential equation;
    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

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