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Eliciting utility curvature in time preference

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  • Stephen L. Cheung

    (The University of Sydney
    IZA Institute of Labor Economics)

Abstract

This paper examines the effects of alternative assumptions regarding the curvature of utility upon estimated discount rates in experimental data. To do so, it introduces a novel design to elicit time preference building upon a translation of the Holt and Laury method for risk. The results demonstrate that utility elicited directly from choice over time is significantly concave, but far closer to linear than utility elicited under risk. As a result, the effect of adjusting discount rates for this curvature is modest compared to assuming linear utility, and considerably less than when utility from a risk preference task is imposed.

Suggested Citation

  • Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    • Handle: RePEc:kap:expeco:v:23:y:2020:i:2:d:10.1007_s10683-019-09621-2
    DOI: 10.1007/s10683-019-09621-2
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    1. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten I. & Rutström, E. Elisabet, 2014. "Discounting behavior: A reconsideration," European Economic Review, Elsevier, vol. 71(C), pages 15-33.
    2. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    3. Stephan Meier & Charles Sprenger, 2010. "Present-Biased Preferences and Credit Card Borrowing," American Economic Journal: Applied Economics, American Economic Association, vol. 2(1), pages 193-210, January.
    4. Charles Sprenger, 2015. "Judging Experimental Evidence on Dynamic Inconsistency," American Economic Review, American Economic Association, vol. 105(5), pages 280-285, May.
    5. 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.
    6. 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.
    7. Loewenstein, George F & Sicherman, Nachum, 1991. "Do Workers Prefer Increasing Wage Profiles?," Journal of Labor Economics, University of Chicago Press, vol. 9(1), pages 67-84, January.
    8. 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.
    9. 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.
    10. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    11. 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..
    12. James Andreoni & Charles Sprenger, 2012. "Estimating Time Preferences from Convex Budgets," American Economic Review, American Economic Association, vol. 102(7), pages 3333-3356, December.
    13. Wilcox, Nathaniel T., 2011. "'Stochastically more risk averse:' A contextual theory of stochastic discrete choice under risk," Journal of Econometrics, Elsevier, vol. 162(1), pages 89-104, May.
    14. Atanu Saha, 1993. "Expo-Power Utility: A ‘Flexible’ Form for Absolute and Relative Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(4), pages 905-913.
    15. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    16. Tversky, Amos & Slovic, Paul & Kahneman, Daniel, 1990. "The Causes of Preference Reversal," American Economic Review, American Economic Association, vol. 80(1), pages 204-217, March.
    17. 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.
    18. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    19. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2018. "Multiattribute Utility Theory, Intertemporal Utility, And Correlation Aversion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(2), pages 537-555, May.
    20. Helga Fehr-Duda & Thomas Epper, 2012. "Probability and Risk: Foundations and Economic Implications of Probability-Dependent Risk Preferences," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 567-593, July.
    21. Mohammed Abdellaoui & Han Bleichrodt & Olivier l'Haridon & Corina Paraschiv, 2013. "Is There One Unifying Concept of Utility?An Experimental Comparison of Utility Under Risk and Utility Over Time," Management Science, INFORMS, vol. 59(9), pages 2153-2169, September.
    22. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    23. 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.
    24. Thomas Epper & Helga Fehr-Duda & Adrian Bruhin, 2011. "Viewing the future through a warped lens: Why uncertainty generates hyperbolic discounting," Journal of Risk and Uncertainty, Springer, vol. 43(3), pages 169-203, December.
    25. Arthur E. Attema & Han Bleichrodt & Yu Gao & Zhenxing Huang & Peter P. Wakker, 2016. "Measuring Discounting without Measuring Utility," American Economic Review, American Economic Association, vol. 106(6), pages 1476-1494, June.
    26. Paola Manzini & Marco Mariotti & Luigi Mittone, 2010. "Choosing monetary sequences: theory and experimental evidence," Theory and Decision, Springer, vol. 69(3), pages 327-354, September.
    27. Thomas Epper & Helga Fehr-Duda, 2015. "Risk Preferences Are Not Time Preferences: Balancing on a Budget Line: Comment," American Economic Review, American Economic Association, vol. 105(7), pages 2261-2271, July.
    28. 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..
    29. James Andreoni & Christina Gravert & Michael A. Kuhn & Silvia Saccardo & Yang Yang, 2018. "Arbitrage Or Narrow Bracketing? On Using Money to Measure Intertemporal Preferences," NBER Working Papers 25232, National Bureau of Economic Research, Inc.
    30. Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Intertemporal Utility and Correlation Aversion," Department of Economics Working Papers 2011_03, Durham University, Department of Economics.
    31. 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.
    32. Freeman, David & Manzini, Paola & Mariotti, Marco & Mittone, Luigi, 2016. "Procedures for eliciting time preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PA), pages 235-242.
    33. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    34. Andreas C. Drichoutis & Jayson L. Lusk, 2016. "What can multiple price lists really tell us about risk preferences?," Journal of Risk and Uncertainty, Springer, vol. 53(2), pages 89-106, December.
    35. James Andreoni & Charles Sprenger, 2012. "Risk Preferences Are Not Time Preferences," American Economic Review, American Economic Association, vol. 102(7), pages 3357-3376, December.
    36. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    37. Andreoni, James & Kuhn, Michael A. & Sprenger, Charles, 2015. "Measuring time preferences: A comparison of experimental methods," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 451-464.
    38. Pavlo R. Blavatskyy & Hela Maafi, 2018. "Estimating representations of time preferences and models of probabilistic intertemporal choice on experimental data," Journal of Risk and Uncertainty, Springer, vol. 56(3), pages 259-287, June.
    39. Stephen L. Cheung, 2015. "Risk Preferences Are Not Time Preferences: On the Elicitation of Time Preference under Conditions of Risk: Comment," American Economic Review, American Economic Association, vol. 105(7), pages 2242-2260, July.
    40. Cheung, Stephen L., 2016. "Recent developments in the experimental elicitation of time preference," Journal of Behavioral and Experimental Finance, Elsevier, vol. 11(C), pages 1-8.
    41. 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.
    42. 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.
    43. Pavlo R. Blavatskyy, 2016. "A monotone model of intertemporal choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 785-812, October.
    44. James Andreoni & Charles Sprenger, 2015. "Risk Preferences Are Not Time Preferences: Reply," American Economic Review, American Economic Association, vol. 105(7), pages 2287-2293, July.
    45. Maribeth Coller & Melonie Williams, 1999. "Eliciting Individual Discount Rates," Experimental Economics, Springer;Economic Science Association, vol. 2(2), pages 107-127, December.
    46. 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.
    47. 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.
    48. 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.
    49. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    50. Gary Gigliotti & Barry Sopher, 1997. "Violations of Present-Value Maximization in Income Choice," Theory and Decision, Springer, vol. 43(1), pages 45-69, July.
    51. Cheung, Stephen L., 2013. "On the Elicitation of Time Preference under Conditions of Risk," Working Papers 2013-15, University of Sydney, School of Economics.
    52. Graham Loomes & Ganna Pogrebna, 2014. "Measuring Individual Risk Attitudes when Preferences are Imprecise," Economic Journal, Royal Economic Society, vol. 0(576), pages 569-593, May.
    53. Schmidt, Ulrich, 2014. "Risk preferences may be time preferences: A comment on Andreoni and Sprenger (2012)," Kiel Working Papers 1942, Kiel Institute for the World Economy (IfW Kiel).
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    More about this item

    Keywords

    Time preference; Measurement of utility; Discounted utility; Choice list;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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