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Weighted temporal utility

Author

Listed:
  • Anke Gerber

    (Universität Hamburg)

  • Kirsten I. M. Rohde

    (Erasmus University Rotterdam
    Erasmus Research Institute of Management and Tinbergen Institute)

Abstract

This paper considers preferences over risky timed outcomes and proposes the weighted temporal utility (WTU) model which separates anticipated subjective evaluations of outcomes from attitudes toward psychological distance induced by risks and delays. Anticipating the subjective evaluation of an outcome requires the decision maker to project himself to the future and to imagine how much he will appreciate the outcome once he receives it. This projection may, but need not, be accurate. We provide a characterization of the WTU model in a static setting and propose a nonparametric method to measure its weighting and utility functions. We also consider a dynamic setting which allows for a varying decision time. The dynamic WTU model can accommodate the standard discounted expected utility model as well as observed deviations from stationarity, time invariance, and time consistency. It therefore enhances our understanding of the drivers of these behavioral phenomena.

Suggested Citation

  • Anke Gerber & Kirsten I. M. Rohde, 2018. "Weighted temporal utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 187-212, July.
    • Handle: RePEc:spr:joecth:v:66:y:2018:i:1:d:10.1007_s00199-017-1058-8
    DOI: 10.1007/s00199-017-1058-8
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    References listed on IDEAS

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    1. Drazen Prelec & George Loewenstein, 1991. "Decision Making Over Time and Under Uncertainty: A Common Approach," Management Science, INFORMS, vol. 37(7), pages 770-786, July.
    2. Charles M. Harvey, 1986. "Value Functions for Infinite-Period Planning," Management Science, INFORMS, vol. 32(9), pages 1123-1139, September.
    3. Keren, Gideon & Roelofsma, Peter, 1995. "Immediacy and Certainty in Intertemporal Choice," Organizational Behavior and Human Decision Processes, Elsevier, vol. 63(3), pages 287-297, September.
    4. George Loewenstein & Ted O'Donoghue & Matthew Rabin, 2003. "Projection Bias in Predicting Future Utility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1209-1248.
    5. Charles Harvey, 1995. "Proportional Discounting of Future Costs and Benefits," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 381-399, May.
    6. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-1162, June.
    7. Bin Miao & Songfa Zhong, 2015. "Risk Preferences Are Not Time Preferences: Separating Risk and Time Preference: Comment," American Economic Review, American Economic Association, vol. 105(7), pages 2272-2286, July.
    8. Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
    9. Thomas Epper & Helga Fehr-Duda & Adrian Bruhin, 2011. "Viewing the future through a warped lens: Why uncertainty generates hyperbolic discounting," Journal of Risk and Uncertainty, Springer, vol. 43(3), pages 169-203, December.
    10. Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
    11. Noor, Jawwad, 2009. "Hyperbolic discounting and the standard model: Eliciting discount functions," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2077-2083, September.
    12. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    13. Mohammed Abdellaoui & Enrico Diecidue & Ayse Öncüler, 2011. "Risk Preferences at Different Time Periods: An Experimental Investigation," Management Science, INFORMS, vol. 57(5), pages 975-987, May.
    14. Manel Baucells & Franz H. Heukamp, 2012. "Probability and Time Trade-Off," Management Science, INFORMS, vol. 58(4), pages 831-842, April.
    15. Anke Gerbe & Kirsten I.M. Rohde, 2010. "Risk and Preference Reversals in Intertemporal Choice," Post-Print hal-00911832, HAL.
    16. Gilboa, Itzhak & Postlewaite, Andrew & Samuelson, Larry, 2016. "Memorable consumption," Journal of Economic Theory, Elsevier, vol. 165(C), pages 414-455.
    17. Gerber, Anke & Rohde, Kirsten I.M., 2015. "Eliciting discount functions when baseline consumption changes over time," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 56-64.
    18. James Andreoni & Charles Sprenger, 2012. "Risk Preferences Are Not Time Preferences," American Economic Review, American Economic Association, vol. 102(7), pages 3357-3376, December.
    19. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    20. Gerber, Anke & Rohde, Kirsten I.M., 2010. "Risk and preference reversals in intertemporal choice," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 654-668, December.
    21. Stephen L. Cheung, 2015. "Risk Preferences Are Not Time Preferences: On the Elicitation of Time Preference under Conditions of Risk: Comment," American Economic Review, American Economic Association, vol. 105(7), pages 2242-2260, July.
    22. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    23. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    24. James Andreoni & Charles Sprenger, 2015. "Risk Preferences Are Not Time Preferences: Reply," American Economic Review, American Economic Association, vol. 105(7), pages 2287-2293, July.
    25. Attila Ambrus & Tinna Laufey Ásgeirsdóttir & Jawwad Noor & László Sándor, 2014. "Compensated Discount Functions: An Experiment on the Influence of Expected Income on Time Preferences," Working Paper 197736, Harvard University OpenScholar.
    26. Takahashi, Taiki & Oono, Hidemi & Radford, Mark H.B., 2008. "Psychophysics of time perception and intertemporal choice models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2066-2074.
    27. Takanori Ida & Rei Goto, 2009. "Simultaneous Measurement Of Time And Risk Preferences: Stated Preference Discrete Choice Modeling Analysis Depending On Smoking Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1169-1182, November.
    28. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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    More about this item

    Keywords

    Intertemporal choice; Time preferences; Risk preferences; Stationarity; Time consistency; Time invariance;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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