IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v109y2010i3p193-196.html
   My bibliography  Save this article

"Hyperbolic" discounting: A recursive formulation and an application to economic growth

Author

Listed:
  • Coury, Tarek
  • Dave, Chetan

Abstract

We axiomatize decreasing impatience (DI) in a discrete-time setting, as originally discussed by Prelec, and formulate a class of recursively-defined discounting functions that conform to DI. The recursive formulation is used to analyze the Ramsey growth problem using dynamic programming techniques.

Suggested Citation

  • Coury, Tarek & Dave, Chetan, 2010. ""Hyperbolic" discounting: A recursive formulation and an application to economic growth," Economics Letters, Elsevier, vol. 109(3), pages 193-196, December.
    • Handle: RePEc:eee:ecolet:v:109:y:2010:i:3:p:193-196
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(10)00289-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
    2. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    3. 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.
    4. 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.
    5. Young, Eric R., 2007. "Generalized quasi-geometric discounting," Economics Letters, Elsevier, vol. 96(3), pages 343-350, September.
    6. 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.
    7. 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.
    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. Anchugina, Nina & Ryan, Matthew & Slinko, Arkadii, 2019. "Mixing discount functions: Implications for collective time preferences," Mathematical Social Sciences, Elsevier, vol. 102(C), pages 1-14.
    2. Orlando Gomes & Alexandra Ferreira-Lopes & Tiago Sequeira, 2014. "Exponential discounting bias," Journal of Economics, Springer, vol. 113(1), pages 31-57, September.
    3. Bond, Craig A. & Iverson, Terrence, 2011. "Modeling Information in Environmental Decision-Making," Western Economics Forum, Western Agricultural Economics Association, vol. 10(2), pages 1-17.

    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. Anke Gerbe & Kirsten I.M. Rohde, 2010. "Risk and Preference Reversals in Intertemporal Choice," Post-Print hal-00911832, HAL.
    2. Gerber, Anke & Rohde, Kirsten I.M., 2010. "Risk and preference reversals in intertemporal choice," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 654-668, December.
    3. Tyson, Christopher J., 2008. "Management of a capital stock by Strotz's naive planner," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2214-2239, July.
    4. Hammond, Peter J & Zank, Horst, 2013. "Rationality and Dynamic Consistency under Risk and Uncertainty," The Warwick Economics Research Paper Series (TWERPS) 1033, University of Warwick, Department of Economics.
    5. Rohde, Kirsten I.M., 2009. "Decreasing relative impatience," Journal of Economic Psychology, Elsevier, vol. 30(6), pages 831-839, December.
    6. Drouhin, Nicolas, 2020. "Non-stationary additive utility and time consistency," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 1-14.
    7. Kirill Borissov & Mikhail Pakhnin & Ronald Wendner, 2020. "Naive Agents with Quasi-hyperbolic Discounting and Perfect Foresight," EUSP Department of Economics Working Paper Series 2020/03, European University at St. Petersburg, Department of Economics.
    8. László Á. Kóczy, 2010. "Strategic Aspects of the 1995 and 2004 EU Enlargements," Group Decision and Negotiation, Springer, vol. 19(3), pages 267-277, May.
    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. André Lapied & Olivier Renault, 2012. "An Investigation of Time Consistency for Subjective Discontinued Utility," AMSE Working Papers 1210, Aix-Marseille School of Economics, France.
    11. Liya Liu & Yingjie Niu & Yuanping Wang & Jinqiang Yang, 2020. "Optimal consumption with time-inconsistent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 785-815, October.
    12. Wojciech Rybicki, 2012. "Discounting and ideas of intergenerational equity and sustainability," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(1), pages 63-84.
    13. Kirsten Rohde, 2010. "The hyperbolic factor: A measure of time inconsistency," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 125-140, October.
    14. Geraats, P.M., 2005. "Intertemporal Substitution and Hyperbolic Discounting," Cambridge Working Papers in Economics 0515, Faculty of Economics, University of Cambridge.
    15. Christopher Harris & David Laibson, 2013. "Instantaneous Gratification," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(1), pages 205-248.
    16. Cheng, Long & McDonald, Stuart & Ye, Guangliang, 2023. "Cartelization under present bias and imperfect public signals," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 77-86.
    17. Karna Basu, 2011. "Hyperbolic Discounting and the Sustainability of Rotational Savings Arrangements," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 143-171, November.
    18. Galizzi, Matteo M. & Miraldo, Marisa & Stavropoulou, Charitini & van der Pol, Marjon, 2016. "Doctor–patient differences in risk and time preferences: A field experiment," Journal of Health Economics, Elsevier, vol. 50(C), pages 171-182.
    19. Maliar, Lilia & Maliar, Serguei, 2006. "Indeterminacy in a log-linearized neoclassical growth model with quasi-geometric discounting," Economic Modelling, Elsevier, vol. 23(3), pages 492-505, May.
    20. Nocke, Volker & Peitz, Martin, 2003. "Hyperbolic discounting and secondary markets," Games and Economic Behavior, Elsevier, vol. 44(1), pages 77-97, July.

    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:eee:ecolet:v:109:y:2010:i:3:p:193-196. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.