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Generalized Stochastic Differential Utility and Preference for Information

Author

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  • Ali Lazrak

    (Sauder - Sauder School of Business [British Columbia] - UBC - University of British Columbia)

Abstract

This paper develops, in a Brownian information setting, an approach for analyzing the preference for information, a question that motivates the stochastic differential utility (SDU) due to Duffie and Epstein [Econometrica 60 (1992) 353-394]. For a class of backward stochastic differential equations (BSDEs) including the generalized SDU [Lazrak and Quenez Math. Oper. Res. 28 (2003) 154-180], we formulate the information neutrality property as an invariance principle when the filtration is coarser (or finer) and characterize it. We also provide concrete examples of heterogeneity in information that illustrate explicitly the nonneutrality property for some GSDUs. Our results suggest that, within the GSDUs class of intertemporal utilities, risk aversion or ambiguity aversion are inflexibly linked to the preference for information.

Suggested Citation

  • Ali Lazrak, 2004. "Generalized Stochastic Differential Utility and Preference for Information," Post-Print hal-00485707, HAL.
    • Handle: RePEc:hal:journl:hal-00485707
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    Cited by:

    1. Ulrich Horst & Matthias Müller, 2007. "On the Spanning Property of Risk Bonds Priced by Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(4), pages 784-807, November.
    2. Immacolata Oliva & Ilaria Stefani, 2023. "Co-jumps and recursive preferences in portfolio choices," Annals of Finance, Springer, vol. 19(3), pages 291-324, September.
    3. Kraft, Holger & Seifried, Frank Thomas, 2014. "Stochastic differential utility as the continuous-time limit of recursive utility," Journal of Economic Theory, Elsevier, vol. 151(C), pages 528-550.

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