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Discounting by Intervals: A Generalized Model of Intertemporal Choice

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  • Marc Scholten

    (Department of Social and Organizational Psychology, Instituto Superior de Psicologia Aplicada, Rua Jardim do Tabaco 34, 1149-041 Lisboa, Portugal)

  • Daniel Read

    (Durham Business School, Mill Hill Lane, Durham DH1 3LB, United Kingdom)

Abstract

According to most models of intertemporal choice, an agent's discount rate is a function of how far the outcomes are removed from the present, and nothing else. This view has been challenged by recent studies, which show that discount rates tend to be higher the closer the outcomes are to one another (subadditive discounting) and that this can give rise to intransitive intertemporal choice. We develop and test a generalized model of intertemporal choice, the Discounting By Intervals (DBI) model, according to which the discount rate is a function of both how far outcomes are removed from the present and how far the outcomes are removed from one another. The model addresses past challenges to other models, most of which it includes as special cases, as well as the new challenges presented in this paper: Our studies show that when the interval between outcomes is very short, discount rate tends to increase with interval length (superadditive discounting). In the discussion we place our model and evidence in a broader theoretical context.

Suggested Citation

  • Marc Scholten & Daniel Read, 2006. "Discounting by Intervals: A Generalized Model of Intertemporal Choice," Management Science, INFORMS, vol. 52(9), pages 1424-1436, September.
    • Handle: RePEc:inm:ormnsc:v:52:y:2006:i:9:p:1424-1436
    DOI: 10.1287/mnsc.1060.0534
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    References listed on IDEAS

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    1. 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.
    2. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    3. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-694, October.
    4. 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.
    5. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    6. Leland, Jonathan W, 1994. "Generalized Similarity Judgments: An Alternative Explanation for Choice Anomalies," Journal of Risk and Uncertainty, Springer, vol. 9(2), pages 151-172, October.
    7. 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.
    8. Read, Daniel & Roelofsma, Peter H. M. P., 2003. "Subadditive versus hyperbolic discounting: A comparison of choice and matching," Organizational Behavior and Human Decision Processes, Elsevier, vol. 91(2), pages 140-153, July.
    9. 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.
    10. James H. Holcomb & Paul S. Nelson, 1992. "Another Experimental Look at Individual Time Preference," Rationality and Society, , vol. 4(2), pages 199-220, April.
    11. Charles M. Harvey, 1986. "Value Functions for Infinite-Period Planning," Management Science, INFORMS, vol. 32(9), pages 1123-1139, September.
    12. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    13. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    14. Martin Ahlbrecht & Martin Weber, 1997. "An Empirical Study on Intertemporal Decision Making Under Risk," Management Science, INFORMS, vol. 43(6), pages 813-826, June.
    15. Uri Benzion & Amnon Rapoport & Joseph Yagil, 1989. "Discount Rates Inferred from Decisions: An Experimental Study," Management Science, INFORMS, vol. 35(3), pages 270-284, March.
    16. Marjorie K. Shelley, 1993. "Outcome Signs, Question Frames and Discount Rates," Management Science, INFORMS, vol. 39(7), pages 806-815, July.
    17. 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.
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