IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/111308.html
   My bibliography  Save this paper

On Multiple Discount Rates with Recursive Time-Dependent Orders

Author

Listed:
  • Drugeon, Jean-Pierre
  • Ha-Huy, Thai

Abstract

This study adresses time-dependent orders that are shown to lead to recursive representations based upon a Max-Min dichotomy and introduce a structure that is naturally based upon time-varying multiple discounts. It is argued that this setup naturally provides an enriched understanding of the much discussed present biases. It is established how a multiple discounts version of \emph{present biais} becomes available and directly builds upon the features of the order defined from the head of the utilities sequence.

Suggested Citation

  • Drugeon, Jean-Pierre & Ha-Huy, Thai, 2021. "On Multiple Discount Rates with Recursive Time-Dependent Orders," MPRA Paper 111308, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:111308
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/111308/1/MPRA_paper_111308.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Brown, Donald J & Lewis, Lucinda M, 1981. "Myopic Economic Agents," Econometrica, Econometric Society, vol. 49(2), pages 359-368, March.
    2. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
    3. 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.
    4. José Luis Montiel Olea & Tomasz Strzalecki, 2014. "Axiomatization and Measurement of Quasi-Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1449-1499.
    5. Jean-Pierre Drugeon & Thai Ha-Huy & Thi Do Hanh Nguyen, 2019. "On maximin dynamic programming and the rate of discount," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 703-729, April.
    6. Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 349-376, February.
    7. Gilles, Christian, 1989. "Charges as equilibrium prices and asset bubbles," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 155-167, April.
    8. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    9. 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.
    10. Ok, Efe A. & Masatlioglu, Yusufcan, 2007. "A theory of (relative) discounting," Journal of Economic Theory, Elsevier, vol. 137(1), pages 214-245, November.
    11. Bastianello, Lorenzo, 2017. "A topological approach to delay aversion," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 1-12.
    12. Christopher P. Chambers & Federico Echenique, 2018. "On Multiple Discount Rates," Econometrica, Econometric Society, vol. 86(4), pages 1325-1346, July.
    13. 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.
    Full references (including those not matched with items on IDEAS)

    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. Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 349-376, February.
    2. Jean-Pierre Drugeon & Thai Ha-Huy, 2018. "Towards a Decomposition for the Future: Closeness, Remoteness & Temporal Biases," PSE Working Papers halshs-01962035, HAL.
    3. Jean-Pierre Drugeon & Thai Ha-Huy, 2023. "An $\alpha$-MaxMin Utility Representation for Close and Distant Future Preferences with Temporal Biases," PSE Working Papers hal-04010969, HAL.
    4. Ha-Huy, Thai & Nguyen, Thi Tuyet Mai, 2022. "Saving and dissaving under Ramsey–Rawls criterion," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    5. 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).
    6. Sebastian Schweighofer-Kodritsch, 2015. "Time Preferences and Bargaining," STICERD - Theoretical Economics Paper Series /2015/568, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    7. Lu, Shih En, 2016. "Self-control and bargaining," Journal of Economic Theory, Elsevier, vol. 165(C), pages 390-413.
    8. Lorenzo Bastianello & Jos'e Heleno Faro, 2019. "Time discounting under uncertainty," Papers 1911.00370, arXiv.org, revised Mar 2020.
    9. Lorenzo Bastianello & José Heleno Faro, 2023. "Choquet expected discounted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1071-1098, May.
    10. Alekseev, Aleksandr & Sokolov, Mikhail V., 2021. "How to measure the average rate of change?," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 43-59.
    11. Lu, Shih En, 2016. "Models of limited self-control: Comparison and implications for bargaining," Economics Letters, Elsevier, vol. 145(C), pages 186-191.
    12. Pan, Jinrui & Webb, Craig S. & Zank, Horst, 2015. "An extension of quasi-hyperbolic discounting to continuous time," Games and Economic Behavior, Elsevier, vol. 89(C), pages 43-55.
    13. Thai Ha-Huy & Tuyet Mai Nguyen, 2019. "Optimal growth and Ramsey-Rawls criteria," Documents de recherche 19-02, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    14. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
    15. Ali al-Nowaihi & Sanjit Dhami, 2021. "Preferences over Time and under Uncertainty: Theoretical Foundations," CESifo Working Paper Series 9215, CESifo.
    16. Bach Dong Xuan & Philippe Bich & Bertrand Wigniolle, 2022. "On multiple discount rates and present bias," Working Papers halshs-03884664, HAL.
    17. Obara, Ichiro & Park, Jaeok, 2017. "Repeated games with general discounting," Journal of Economic Theory, Elsevier, vol. 172(C), pages 348-375.
    18. Ludwig, Alexander & Zimper, Alexander, 2006. "Investment behavior under ambiguity: The case of pessimistic decision makers," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 111-130, September.
    19. Jeongbin Kim & Wooyoung Lim & Sebastian Schweighofer-Kodritsch, 2023. "Patience Is Power: Bargaining and Payoff Delay," Berlin School of Economics Discussion Papers 0015, Berlin School of Economics.
    20. Nina Anchugina, 2017. "A simple framework for the axiomatization of exponential and quasi-hyperbolic discounting," Theory and Decision, Springer, vol. 82(2), pages 185-210, February.

    More about this item

    Keywords

    Axiomatization; Time-Dependent Orders; Time-Varying Multiple Discounts; Multiple Present Biases.;
    All these keywords.

    JEL classification:

    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:111308. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.