IDEAS home Printed from https://ideas.repec.org/p/lec/leecon/14-11.html
   My bibliography  Save this paper

Foundations and Properties of Time Discount Functions

Author

Listed:
  • Ali al-Nowaihi

    ()

  • Sanjit Dhami,

    ()

Abstract

A critical element in all discounted utility models is the specification of a discount function. We introduce three functions: the delay, speedup and generating functions. Each can be uniquely elicited from behaviour. The delay function determines stationary and the common difference effect. The speedup function determines impatience. Additivity is jointly determined by the delay and speedup functions. The speedup and generating functions jointly determine a unique discount function. Conversely, a continuous discount function determines unique speedup and generating functions.

Suggested Citation

  • Ali al-Nowaihi & Sanjit Dhami,, 2014. "Foundations and Properties of Time Discount Functions," Discussion Papers in Economics 14/11, Department of Economics, University of Leicester.
  • Handle: RePEc:lec:leecon:14/11
    as

    Download full text from publisher

    File URL: http://www.le.ac.uk/economics/research/repec/lec/leecon/dp14-11.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Wakker,Peter P., 2010. "Prospect Theory," Cambridge Books, Cambridge University Press, number 9780521765015, Fall.
    3. Adrian Bruhin & Helga Fehr-Duda & Thomas Epper, 2010. "Risk and Rationality: Uncovering Heterogeneity in Probability Distortion," Econometrica, Econometric Society, vol. 78(4), pages 1375-1412, July.
    4. George F. Loewenstein, 1988. "Frames of Mind in Intertemporal Choice," Management Science, INFORMS, vol. 34(2), pages 200-214, February.
    5. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    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. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 573-597.
    8. Ali al-Nowaihi & Sanjit Dhami, 2008. "A general theory of time discounting: The reference-time theory of intertemporal choice," Discussion Papers in Economics 08/34, Department of Economics, University of Leicester.
    9. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    10. Marc Scholten & Daniel Read, 2006. "Discounting by Intervals: A Generalized Model of Intertemporal Choice," Management Science, INFORMS, vol. 52(9), pages 1424-1436, September.
    11. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
    12. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    13. Ok, Efe A. & Masatlioglu, Yusufcan, 2007. "A theory of (relative) discounting," Journal of Economic Theory, Elsevier, vol. 137(1), pages 214-245, November.
    14. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 185-199.
    15. 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.
    16. al-Nowaihi, Ali & Bradley, Ian & Dhami, Sanjit, 2008. "A note on the utility function under prospect theory," Economics Letters, Elsevier, vol. 99(2), pages 337-339, May.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    hyperbolic discounting; nonadditivity; impatience; prospect theory; delay function; speedup function; generating function.;

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:lec:leecon:14/11. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mrs. Alexandra Mazzuoccolo). General contact details of provider: http://edirc.repec.org/data/deleiuk.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.