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Generalized stochastic differential utility and preference for information

  • Ali Lazrak
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    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.

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    File URL: http://arxiv.org/pdf/math/0503579
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    Paper provided by arXiv.org in its series Papers with number math/0503579.

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    Date of creation: Mar 2005
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    Publication status: Published in Annals of Applied Probability 2004, Vol. 14, No. 4, 2149-2175
    Handle: RePEc:arx:papers:math/0503579
    Contact details of provider: Web page: http://arxiv.org/

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    1. Chew, Soo Hong & Ho, Joanna L, 1994. "Hope: An Empirical Study of Attitude toward the Timing of Uncertainty Resolution," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 267-88, May.
    2. Grant, S. & Polak, B. & Kajii, A., 1996. "Preference for Information," Papers 298, Australian National University - Department of Economics.
    3. Riedel, Frank, 2004. "Dynamic coherent risk measures," Stochastic Processes and their Applications, Elsevier, vol. 112(2), pages 185-200, August.
    4. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
    5. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-94, March.
    6. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
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