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A Theory of Reference Time

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  • Ali al-Nowaihi
  • Sanjit Dhami

Abstract

We consider a discounted utility model that has two components. (1) The instan- taneous utility is of the prospect theory form, thus, allowing for reference dependent outcomes. (2) The discount function embodies a ‘reference time’ to which all future outcomes are discounted back to, hence, the name, reference time theory. We allow the discount function to exhibit declining impatience, as in hyperbolic discounting models, subadditivity or both. We show that if the discount function is non-additive, then the presence of a reference time has important effects on intertemporal choices. For instance, this helps to explain apparently intransitive choices over time. We also show how several recent approaches to time discounting can be incorporated within our proposed framework; these include attribute models and models of uncertainty.

Suggested Citation

  • Ali al-Nowaihi & Sanjit Dhami, 2013. "A Theory of Reference Time," Discussion Papers in Economics 13/26, Division of Economics, School of Business, University of Leicester.
    • Handle: RePEc:lec:leecon:13/26
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    References listed on IDEAS

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    1. Manzini Paola & Mariotti Marco, 2006. "A Vague Theory of Choice over Time," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-27, October.
    2. 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.
    3. Ariel Rubinstein, 2003. ""Economics and Psychology"? The Case of Hyperbolic Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1207-1216, November.
    4. 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.
    5. Ali al-Nowaihi & Sanjit Dhami, 2008. "A general theory of time discounting: The reference-time theory of intertemporal choice," Discussion Papers in Economics 08/22, Division of Economics, School of Business, University of Leicester.
    6. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    7. 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.
    8. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    9. al-Nowaihi, Ali & Dhami, Sanjit, 2009. "A value function that explains the magnitude and sign effects," Economics Letters, Elsevier, vol. 105(3), pages 224-229, December.
    10. al-Nowaihi, Ali & Dhami, Sanjit, 2006. "A note on the Loewenstein-Prelec theory of intertemporal choice," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 99-108, July.
    11. George F. Loewenstein, 1988. "Frames of Mind in Intertemporal Choice," Management Science, INFORMS, vol. 34(2), pages 200-214, February.
    12. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    13. Ali al-Nowaihi & Sanjit Dhami, 2005. "A simple derivation of Prelec’s probability weighting function," Discussion Papers in Economics 05/20, Division of Economics, School of Business, University of Leicester.
    14. 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.
    15. 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.
    16. Marc Scholten & Daniel Read, 2006. "Discounting by Intervals: A Generalized Model of Intertemporal Choice," Management Science, INFORMS, vol. 52(9), pages 1424-1436, September.
    17. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    18. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
    19. Ok, Efe A. & Masatlioglu, Yusufcan, 2007. "A theory of (relative) discounting," Journal of Economic Theory, Elsevier, vol. 137(1), pages 214-245, November.
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    1. Thomas Neukirchen & Matthias Klumpp, 2018. "Logistics Education and Behavioral Training Decisions, Time Distortion, and the Prae Ante View," Logistics, MDPI, vol. 2(4), pages 1-16, October.

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    More about this item

    Keywords

    Discounted utility models; Reference time theory; Prospect theory; Hyperbolic discounting; Subadditive discounting.;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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