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Decreasing Impatience

Author

Listed:
  • Chambers, Christopher P
  • Echenique, Federico
  • Miller, Alan D

Abstract

We characterize decreasing impatience, a common behavioral phenomenon in intertemporal choice. Discount factors that display decreasing impatience are characterized through a convexity axiom for investments at fixed interest rates. Then we show that they are equivalent to a geometric average of generalized quasi-hyperbolic discount rates. Finally, they emerge through parimutuel preference aggregation of exponential discount factors.

Suggested Citation

  • Chambers, Christopher P & Echenique, Federico & Miller, Alan D, 2023. "Decreasing Impatience," Department of Economics, Working Paper Series qt2mk6969c, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    • Handle: RePEc:cdl:econwp:qt2mk6969c
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    Other versions of this item:

    • Christopher P. Chambers & Federico Echenique & Alan D. Miller, 2021. "Decreasing Impatience," Papers 2103.03290, arXiv.org, revised Aug 2022.

    References listed on IDEAS

    as
    1. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    2. Anujit Chakraborty & Yoram Halevy & Kota Saito, 2020. "The Relation between Behavior under Risk and over Time," American Economic Review: Insights, American Economic Association, vol. 2(1), pages 1-16, March.
    3. Wilson, Charles A., 1981. "Equilibrium in dynamic models with an infinity of agents," Journal of Economic Theory, Elsevier, vol. 24(1), pages 95-111, February.
    4. Benjamin J. Gillen & Charles R. Plott & Matthew Shum, 2017. "A Pari-Mutuel-Like Mechanism for Information Aggregation: A Field Test inside Intel," Journal of Political Economy, University of Chicago Press, vol. 125(4), pages 1075-1099.
    5. 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.
    6. Richard, Scott F. & Srivastava, Sanjay, 1988. "Equilibrium in economies with infinitely many consumers and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 9-21, February.
    7. Charles R. Plott & Jorgen Wit & Winston C. Yang, 2003. "Parimutuel betting markets as information aggregation devices: experimental results," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 311-351, September.
    8. Stéphane Zuber, 2011. "The aggregation of preferences: can we ignore the past?," Theory and Decision, Springer, vol. 70(3), pages 367-384, March.
    9. 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.
    10. Yaron Azrieli & Christopher P. Chambers & Paul J. Healy, 2018. "Incentives in Experiments: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1472-1503.
    11. 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.
    12. Rohde, Kirsten I.M., 2009. "Decreasing relative impatience," Journal of Economic Psychology, Elsevier, vol. 30(6), pages 831-839, December.
    13. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    14. Tangren Feng & Shaowei Ke, 2018. "Social Discounting and Intergenerational Pareto," Econometrica, Econometric Society, vol. 86(5), pages 1537-1567, September.
    15. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    16. Naftali A. Langberg & Ramón V. León & James Lynch & Frank Proschan, 1980. "Extreme Points of the Class of Discrete Decreasing Failure Rate Life Distributions," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 35-42, February.
    17. Kota Saito, 2011. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect: Comment," American Economic Review, American Economic Association, vol. 101(5), pages 2271-2275, August.
    18. 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.
    19. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    20. Paul A. Samuelson, 1956. "Social Indifference Curves," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 1-22.
    21. Diamond, Peter & Koszegi, Botond, 2003. "Quasi-hyperbolic discounting and retirement," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 1839-1872, September.
    22. Antony Millner, 2020. "Nondogmatic Social Discounting," American Economic Review, American Economic Association, vol. 110(3), pages 760-775, March.
    23. Hayashi, Takashi, 2003. "Quasi-stationary cardinal utility and present bias," Journal of Economic Theory, Elsevier, vol. 112(2), pages 343-352, October.
    24. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    25. Matthew O. Jackson & Leeat Yariv, 2015. "Collective Dynamic Choice: The Necessity of Time Inconsistency," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 150-178, November.
    26. Christopher P. Chambers & Federico Echenique, 2018. "On Multiple Discount Rates," Econometrica, Econometric Society, vol. 86(4), pages 1325-1346, July.
    27. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    28. 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.
    29. Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November.
    30. Takashi Hayashi & Michele Lombardi, 2021. "Social discount rate: spaces for agreement," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 247-257, October.
    31. Bård Harstad, 2020. "Technology and Time Inconsistency," Journal of Political Economy, University of Chicago Press, vol. 128(7), pages 2653-2689.
    32. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
    33. Bleichrodt, Han & Rohde, Kirsten I.M. & Wakker, Peter P., 2009. "Non-hyperbolic time inconsistency," Games and Economic Behavior, Elsevier, vol. 66(1), pages 27-38, May.
    34. Burke, Jonathan, 1988. "On the existence of price equilibria in dynamic economies," Journal of Economic Theory, Elsevier, vol. 44(2), pages 281-300, April.
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    More about this item

    Keywords

    Economics; Applied Economics; Banking; finance and investment; Applied economics; Economic theory;
    All these keywords.

    JEL classification:

    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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