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Explaining the anomalies of the exponential discounted utility model

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Author Info
Ali al-Nowaihi ()
Sanjit Dhami ()

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Abstract

In a major contribution, Loewenstein and Prelec (1992) (LP) set the foundations for the behavioral approach to decision making over time. We show that the LP theory is incompatible with two very useful classes of value functions: the HARA class and the constant loss aversion class. Resultingly, the LP theory has been used infrequently in applications, which have largely used the ß, ? form of hyperbolic preferences. We propose a more general but equally tractable class of utility functions, the simple increasing elasticity (SIE) class, which is compatible with constant loss aversion in a reformulated version of LP. Allowing for reference dependence and different discount rates for gains and losses the SIE class is able to explain impatience, gain-loss asymmetry, magnitude effect, and the delay-speedup asymmetry even under exponential discounting. If combined instead with the (reformulated) LP theory, the SIE class in addition can also explain the common difference effect.

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Paper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 07/09.

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Date of creation: Sep 2007
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Handle: RePEc:lec:leecon:07/9

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Related research
Keywords: Anomalies of the DU model; Intertemporal choice; Generalized hyperbolic discounting; loss aversion; HARA utility functions; SIE value functions;

Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving

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References listed on IDEAS
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  1. 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.
  2. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207. [Downloadable!] (restricted)
  3. Drew Fudenberg & David K. Levine, 2006. "A Dual Self Model of Impulse Control," Harvard Institute of Economic Research Working Papers 2112, Harvard - Institute of Economic Research. [Downloadable!]
    Other versions:
  4. 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. [Downloadable!] (restricted)
    Other versions:
  5. Jawwad Noor, 2007. "Hyperbolic Discounting and the Standard Model," Boston University - Department of Economics - Working Papers Series WP2007-028, Boston University - Department of Economics. [Downloadable!]
  6. 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.
  7. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March. [Downloadable!] (restricted)
  8. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  9. Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May. [Downloadable!] (restricted)
  10. repec:bep:theadv:v:6:y:2006:i:1:p:1265-1265 is not listed on IDEAS
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