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Generalized stochastic differential utility and preference for information

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  • Ali Lazrak

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.

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  • Ali Lazrak, 2005. "Generalized stochastic differential utility and preference for information," Papers math/0503579, arXiv.org.
    • Handle: RePEc:arx:papers:math/0503579
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    References listed on IDEAS

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    1. Ali Lazrak & Marie-Claire Quenez, 2003. "A generalized stochastic differential utility," Post-Print hal-00485718, HAL.
    2. Costis Skiadas, 1998. "Recursive utility and preferences for information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 293-312.
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    4. Simon Grant & Atsushi Kajii & Ben Polak, 1996. "Preference for Information," Cowles Foundation Discussion Papers 1114, Cowles Foundation for Research in Economics, Yale University.
    5. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
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    8. 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 267-288, May.
    9. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
    10. Ali Lazrak & Marie Claire Quenez, 2003. "A Generalized Stochastic Differential Utility," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 154-180, February.
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    13. Epstein, Larry G, 1980. "Decision Making and the Temporal Resolution of Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(2), pages 269-283, June.
    14. Schroder, Mark & Skiadas, Costis, 1999. "Optimal Consumption and Portfolio Selection with Stochastic Differential Utility," Journal of Economic Theory, Elsevier, vol. 89(1), pages 68-126, November.
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