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Time Lotteries, Second Version

Author

Listed:
  • Patrick DeJarnette

    () (Department of Economics, National Taiwan University)

  • David Dillenberger

    () (Department of Economics, University of Pennsylvania)

  • Daniel Gottlieb

    () (Department of Economics, Washington University in St. Louis)

  • Pietro Ortoleva

    () (Department of Economics, Princeton University)

Abstract

We study preferences over lotteries that pay a specific prize at uncertain future dates: time lotteries. The standard model of time preferences, Expected Discounted Utility (EDU), implies that individuals must be risk seeking in this case. As a motivation, we show in an incentivized experiment that most subjects exhibit the opposite behavior, i.e., they are risk averse over time lotteries (RATL). We then make two theoretical contributions. First, we show that RATL can be captured by a generalization of EDU that is obtained by keeping the postulates of Discounted Utility and Expected Utility. Second, we introduce a new property termed Stochastic Impatience, a risky counterpart of standard Impatience, and show that not only the model above, but also substantial generalizations that allow for non-Expected Utility and non exponential discounting, cannot jointly accommodate it and RATL, showing a fundamental tension between the two.

Suggested Citation

  • Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2014. "Time Lotteries, Second Version," PIER Working Paper Archive 15-026v2, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 12 Jan 2018.
    • Handle: RePEc:pen:papers:15-026v2
    as

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    References listed on IDEAS

    as
    1. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    2. Burke, Michael S & Carter, John R. & Gominiak, Robert D. & Ohl, Daniel F, 1996. "An Experimental Note on the Allais Paradox and Monetary Incentives," Empirical Economics, Springer, vol. 21(4), pages 617-632.
    3. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
    4. Robin Cubitt & Chris Starmer & Robert Sugden, 1998. "On the Validity of the Random Lottery Incentive System," Experimental Economics, Springer;Economic Science Association, vol. 1(2), pages 115-131, September.
    5. Daniel Garrett & Alessandro Pavan, 2014. "Dynamic Managerial Compensation: On the Optimality of Seniority-based Schemes," Discussion Papers 1579, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    7. David J. Freeman & Yoram Halevy & Terri Kneeland, 2019. "Eliciting risk preferences using choice lists," Quantitative Economics, Econometric Society, vol. 10(1), pages 217-237, January.
    8. Charles Noussair & Ping Wu, 2006. "Risk tolerance in the present and the future: an experimental study," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 27(6), pages 401-412.
    9. Steffen Huck & Wieland Müller, 2012. "Allais for all: Revisiting the paradox in a large representative sample," Journal of Risk and Uncertainty, Springer, vol. 44(3), pages 261-293, June.
    10. Dean, Mark & Ortoleva, Pietro, 2017. "Allais, Ellsberg, and preferences for hedging," Theoretical Economics, Econometric Society, vol. 12(1), January.
    11. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    12. Kurata, Hiroshi & Izawa, Hiroshi & Okamura, Makoto, 2009. "Non-expected utility maximizers behave as if expected utility maximizers: An experimental test," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(4), pages 622-629, August.
    13. Keith Coble & Jayson Lusk, 2010. "At the nexus of risk and time preferences: An experimental investigation," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 67-79, August.
    14. Fan, Chinn-Ping, 2002. "Allais paradox in the small," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 411-421, November.
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    More about this item

    Keywords

    Expected Discounted Utility; Separation of Risk and Time preferences; Time Lotteries; Stochastic Impatience;

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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