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Discounting Behavior: A Reconsideration

Author

Listed:
  • Steffen Andersen

    (Copenhagen Business School)

  • Glenn W. Harrison

    (Robinson College of Business, Georgia State University)

  • Morten Lau

    (Durham Business School)

  • Elisabet E. Rutstroem

    (Robinson College of Business, Georgia State University)

Abstract

We re-evaluate the theory, experimental design and econometrics behind claims that individuals exhibit non-constant discounting behavior. Theory points to the importance of controlling for the non-linearity of the utility function of individuals, since the discount rate is defined over time-dated utility flows and not flows of money. It also points to a menagerie of functional forms to characterize different types of non-constant discounting behavior. The implied experimental design calls for individuals to undertake several tasks to allow us to identify these models, and to several treatments such as multiple horizons and the effect of allowing for a front end delay on earlier payments. The implied econometrics calls for structural estimation of the theoretical models, allowing for joint estimation of utility functions and discounting functions. Using data collected from a representative sample of 413 adult Danes in 2009, we draw striking conclusions. Assuming an exponential discounting model we estimate discount rates to be 5.6% on average: this is significantly lower than all previous estimates using controlled experiments. We also find no evidence to support quasi-hyperbolic discounting or “fixed cost” discounting, and only modest evidence to support other specifications of non-constant discounting. Furthermore, the evidence for non-constant discounting, while statistically significant, is not economically significant in terms of the size of the estimated discount rates. We undertake extensive robustness checks on these findings, including a detailed review of the previous, comparable literature.

Suggested Citation

  • Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Discounting Behavior: A Reconsideration," Working Papers 2011_01, Durham University Business School.
  • Handle: RePEc:dur:durham:2011_01
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    1. 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.
    2. Kirby, Kris N. & Marakovic, Nino N., 1995. "Modeling Myopic Decisions: Evidence for Hyperbolic Delay-Discounting within Subjects and Amounts," Organizational Behavior and Human Decision Processes, Elsevier, vol. 64(1), pages 22-30, October.
    3. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2010. "Are Risk Aversion and Impatience Related to Cognitive Ability?," American Economic Review, American Economic Association, vol. 100(3), pages 1238-1260, June.
    4. Takeuchi, Kan, 2011. "Non-parametric test of time consistency: Present bias and future bias," Games and Economic Behavior, Elsevier, vol. 71(2), pages 456-478, March.
    5. Martin Ahlbrecht & Martin Weber, 1997. "An Empirical Study on Intertemporal Decision Making Under Risk," Management Science, INFORMS, vol. 43(6), pages 813-826, June.
    6. 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.
    7. Glenn Harrison & E. Rutström, 2009. "Expected utility theory and prospect theory: one wedding and a decent funeral," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 133-158, June.
    8. David K. Levine & Drew Fudenberg, 2006. "A Dual-Self Model of Impulse Control," American Economic Review, American Economic Association, vol. 96(5), pages 1449-1476, December.
    9. Glenn W. Harrison & Morten I. Lau & Melonie B. Williams, 2002. "Estimating Individual Discount Rates in Denmark: A Field Experiment," American Economic Review, American Economic Association, vol. 92(5), pages 1606-1617, December.
    10. Glenn W. Harrison & John A. List, 2004. "Field Experiments," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1009-1055, December.
    11. Robin Cubitt & Daniel Read, 2007. "Can intertemporal choice experiments elicit time preferences for consumption?," Experimental Economics, Springer;Economic Science Association, vol. 10(4), pages 369-389, December.
    12. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Eliciting Risk and Time Preferences," Econometrica, Econometric Society, vol. 76(3), pages 583-618, May.
    13. James Andreoni & Charles Sprenger, 2012. "Risk Preferences Are Not Time Preferences," American Economic Review, American Economic Association, vol. 102(7), pages 3357-3376, December.
    14. Susan Laury & Melayne McInnes & J. Todd Swarthout, 2012. "Avoiding the curves: Direct elicitation of time preferences," Journal of Risk and Uncertainty, Springer, vol. 44(3), pages 181-217, June.
    15. 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.
    16. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    17. David Laibson & Andrea Repetto & Jeremy Tobacman, 2005. "Estimating Discount Functions with Consumption Choices over the Lifecycle," Levine's Bibliography 784828000000000643, UCLA Department of Economics.
    18. James Andreoni & Charles Sprenger, 2012. "Estimating Time Preferences from Convex Budgets," American Economic Review, American Economic Association, vol. 102(7), pages 3333-3356, December.
    19. Vital Anderhub & Werner Güth & Uri Gneezy & Doron Sonsino, 2001. "On the Interaction of Risk and Time Preferences: An Experimental Study," German Economic Review, Verein für Socialpolitik, vol. 2(3), pages 239-253, August.
    20. Weber, Bethany J. & Chapman, Gretchen B., 2005. "The combined effects of risk and time on choice: Does uncertainty eliminate the immediacy effect? Does delay eliminate the certainty effect?," Organizational Behavior and Human Decision Processes, Elsevier, vol. 96(2), pages 104-118, March.
    21. Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2007. "Estimating Risk Attitudes in Denmark: A Field Experiment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(2), pages 341-368, June.
    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. Holden, Stein T. & Shiferaw, Bekele & Wik, Mette, 1998. "Poverty, market imperfections and time preferences: of relevance for environmental policy?," Environment and Development Economics, Cambridge University Press, vol. 3(1), pages 105-130, February.
    24. 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.
    25. Charles A. Holt & Susan K. Laury, 2005. "Risk Aversion and Incentive Effects: New Data without Order Effects," American Economic Review, American Economic Association, vol. 95(3), pages 902-912, June.
    26. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, E. Elisabet, 2010. "Preference heterogeneity in experiments: Comparing the field and laboratory," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 209-224, February.
    27. Jane E. J. Ebert & Drazen Prelec, 2007. "The Fragility of Time: Time-Insensitivity and Valuation of the Near and Far Future," Management Science, INFORMS, vol. 53(9), pages 1423-1438, September.
    28. Keller, L Robin & Strazzera, Elisabetta, 2002. "Examining Predictive Accuracy Among Discounting Models," Journal of Risk and Uncertainty, Springer, vol. 24(2), pages 143-160, March.
    29. Drazen Prelec, 2004. "Decreasing Impatience: A Criterion for Non‐stationary Time Preference and “Hyperbolic” Discounting," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 511-532, October.
    30. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    31. Maribeth Coller & Melonie Williams, 1999. "Eliciting Individual Discount Rates," Experimental Economics, Springer;Economic Science Association, vol. 2(2), pages 107-127, December.
    32. Benhabib, Jess & Bisin, Alberto & Schotter, Andrew, 2010. "Present-bias, quasi-hyperbolic discounting, and fixed costs," Games and Economic Behavior, Elsevier, vol. 69(2), pages 205-223, July.
    33. Daniel Read & Shane Frederick & Burcu Orsel & Juwaria Rahman, 2005. "Four Score and Seven Years from Now: The Date/Delay Effect in Temporal Discounting," Management Science, INFORMS, vol. 51(9), pages 1326-1335, September.
    34. Harrison, Glenn W, 1992. "Theory and Misbehavior of First-Price Auctions: Reply," American Economic Review, American Economic Association, vol. 82(5), pages 1426-1443, December.
    35. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Lost In State Space: Are Preferences Stable?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 1091-1112, August.
    36. 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.
    37. John A. List (ed.), 2006. "Using Experimental Methods in Environmental and Resource Economics," Books, Edward Elgar Publishing, number 4180.
    38. 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.
    39. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    40. Glenn Harrison, 2005. "Field experiments and control," Artefactual Field Experiments 00057, The Field Experiments Website.
    41. 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.
    42. Maribeth Coller & Glenn W. Harrison & E. Elisabet Rutström, 2012. "Latent process heterogeneity in discounting behavior," Oxford Economic Papers, Oxford University Press, vol. 64(2), pages 375-391, April.
    43. Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Discounting Behavior and the Magnitude Effect," Working Papers 2011_02, Durham University Business School.
    44. Glenn W. Harrison, 2006. "Hypothetical Bias Over Uncertain Outcomes," Chapters, in: John A. List (ed.), Using Experimental Methods in Environmental and Resource Economics, chapter 3, Edward Elgar Publishing.
    45. Jim Engle-Warnick & Julie Héroux & Claude Montmarquette, 2009. "Willingness to Pay to Reduce Future Risk," CIRANO Working Papers 2009s-37, CIRANO.
    46. Saul Pleeter & John T. Warner, 2001. "The Personal Discount Rate: Evidence from Military Downsizing Programs," American Economic Review, American Economic Association, vol. 91(1), pages 33-53, March.
    47. Steffen Andersen & James C. Cox & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem & Vjollca Sadiraj, 2011. "Asset Integration and Attitudes to Risk: Theory and Evidence," Working Papers 2011_10, Durham University Business School.
    48. Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Intertemporal Utility and Correlation Aversion," Working Papers 2011_03, Durham University Business School.
    49. Ronald Harstad, 2000. "Dominant Strategy Adoption and Bidders' Experience with Pricing Rules," Experimental Economics, Springer;Economic Science Association, vol. 3(3), pages 261-280, December.
    50. Glenn W. Harrison & Eric Johnson & Melayne M. McInnes & E. Elisabet Rutström, 2005. "Risk Aversion and Incentive Effects: Comment," American Economic Review, American Economic Association, vol. 95(3), pages 897-901, June.
    51. Harrison, Glenn W. & Rutström, E. Elisabet, 2008. "Experimental Evidence on the Existence of Hypothetical Bias in Value Elicitation Methods," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 81, pages 752-767, Elsevier.
    52. Glenn Harrison & Morten Lau & Elisabet Rutstrom & Melonie Williams, 2006. "Eliciting risk and time preferences using field experiments: Some methodological issues," Artefactual Field Experiments 00063, The Field Experiments Website.
    53. Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-196, March.
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