IDEAS home Printed from https://ideas.repec.org/a/aea/aejmic/v15y2023i3p527-51.html
   My bibliography  Save this article

Decreasing Impatience

Author

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

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

  • Christopher P. Chambers & Federico Echenique & Alan D. Miller, 2023. "Decreasing Impatience," American Economic Journal: Microeconomics, American Economic Association, vol. 15(3), pages 527-551, August.
  • Handle: RePEc:aea:aejmic:v:15:y:2023:i:3:p:527-51
    DOI: 10.1257/mic.20210361
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/doi/10.1257/mic.20210361
    Download Restriction: no

    File URL: https://www.aeaweb.org/doi/10.1257/mic.20210361.ds
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.

    File URL: https://libkey.io/10.1257/mic.20210361?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Tangren Feng & Shaowei Ke, 2018. "Social Discounting and Intergenerational Pareto," Econometrica, Econometric Society, vol. 86(5), pages 1537-1567, September.
    2. 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.
    3. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    4. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    5. Hayashi, Takashi, 2003. "Quasi-stationary cardinal utility and present bias," Journal of Economic Theory, Elsevier, vol. 112(2), pages 343-352, October.
    6. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    7. Christopher P. Chambers & Federico Echenique, 2018. "On Multiple Discount Rates," Econometrica, Econometric Society, vol. 86(4), pages 1325-1346, July.
    8. 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.
    9. Stéphane Zuber, 2011. "The aggregation of preferences: can we ignore the past?," Theory and Decision, Springer, vol. 70(3), pages 367-384, March.
    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. 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.
    13. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    14. 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.
    15. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, March.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. Diamond, Peter & Koszegi, Botond, 2003. "Quasi-hyperbolic discounting and retirement," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 1839-1872, September.
    21. 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.
    22. Antony Millner, 2020. "Nondogmatic Social Discounting," American Economic Review, American Economic Association, vol. 110(3), pages 760-775, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dong-Xuan, Bach & Qu, Xiangyu, 2025. "Restricted dominant unanimity and social discounting," Journal of Mathematical Economics, Elsevier, vol. 117(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:cdl:econwp:qt2mk6969c is not listed on IDEAS
    2. Bach Dong-Xuan & Philippe Bich & Bertrand Wigniolle, 2025. "Prudent aggregation of quasi-hyperbolic experts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(2), pages 417-444, March.
    3. Dong-Xuan, Bach & Qu, Xiangyu, 2025. "Restricted dominant unanimity and social discounting," Journal of Mathematical Economics, Elsevier, vol. 117(C).
    4. Mikhail Pakhnin, 2021. "Collective Choice with Heterogeneous Time Preferences," CESifo Working Paper Series 9141, CESifo.
    5. Feng, Tangren & Ke, Shaowei & McMillan, Andrew, 2022. "Utilitarianism and social discounting with countably many generations," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    6. Takashi Hayashi & Noriaki Kiguchi & Norio Takeoka, 2024. "Temptation and self‐control for the impure benevolent planner: The case of heterogeneous discounting," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    7. Daniele Pennesi, 2017. "Uncertain discount and hyperbolic preferences," Theory and Decision, Springer, vol. 83(3), pages 315-336, October.
    8. Jean-Pierre Drugeon & Bertrand Wigniolle, 2021. "On Markovian collective choice with heterogeneous quasi-hyperbolic discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1257-1296, November.
    9. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2022. "Time-consistent equilibria in dynamic models with recursive payoffs and behavioral discounting," Journal of Economic Theory, Elsevier, vol. 204(C).
    10. 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.
    11. Xiaosheng Mu & Luciano Pomatto & Philipp Strack & Omer Tamuz, 2021. "Monotone Additive Statistics," Working Papers 2021-36, Princeton University. Economics Department..
    12. Murat Yilmaz, 2018. "An Extended Survey of Time-Inconsistency and Its Applications," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 32(1), pages 55-73.
    13. Ebert, Sebastian & Wei, Wei & Zhou, Xun Yu, 2020. "Weighted discounting—On group diversity, time-inconsistency, and consequences for investment," Journal of Economic Theory, Elsevier, vol. 189(C).
    14. Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    15. Laurent Denant-Boemont & Enrico Diecidue & Olivier l’Haridon, 2017. "Patience and time consistency in collective decisions," Experimental Economics, Springer;Economic Science Association, vol. 20(1), pages 181-208, March.
    16. Anchugina, Nina & Ryan, Matthew & Slinko, Arkadii, 2017. "Hyperbolic discounting of the far-distant future," Economics Letters, Elsevier, vol. 155(C), pages 140-143.
    17. Obara, Ichiro & Park, Jaeok, 2017. "Repeated games with general discounting," Journal of Economic Theory, Elsevier, vol. 172(C), pages 348-375.
    18. Bach Dong Xuan & Philippe Bich & Bertrand Wigniolle, 2022. "On multiple discount rates and present bias," Working Papers halshs-03884664, HAL.
    19. Drouhin, Nicolas, 2020. "Non-stationary additive utility and time consistency," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 1-14.
    20. Antony Millner & Geoffrey Heal, 2015. "Collective intertemporal choice: time consistency vs. time invariance," GRI Working Papers 220, Grantham Research Institute on Climate Change and the Environment.
    21. Craig S. Webb, 2024. "Dynamic preference foundations of expected exponentially-discounted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 921-940, June.

    More about this item

    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

    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:aea:aejmic:v:15:y:2023:i:3:p:527-51. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.