IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-02096484.html

On maximin dynamic programming and the rate of discount

Author

Listed:
  • Jean-Pierre Drugeon

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique)

  • Thai Ha-Huy

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne, TIMAS - Institute of Mathematics and Applied Science)

  • Thi Do Hanh Nguyen

    (VMU - Vietnam Maritime University [Hai Phon])

Abstract

This article establishes a dynamic programming argument for a maximin optimization problem where the agent completes a minimization over a set of discount rates. Even though the consideration of a maximin criterion results in a program that is not convex and not stationary over time, it is proved that a careful reference to extended dynamic programming principles and a maxmin functional equation however allows for circumventing these difficulties and recovering an optimal sequence that is time consistent.

Suggested Citation

  • Jean-Pierre Drugeon & Thai Ha-Huy & Thi Do Hanh Nguyen, 2019. "On maximin dynamic programming and the rate of discount," Post-Print halshs-02096484, HAL.
    • Handle: RePEc:hal:journl:halshs-02096484
    DOI: 10.1007/s00199-018-1166-0
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

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


    Cited by:

    1. Kirill Borissov & Stefano Bosi & Thai Ha-Huy & Van-Quy Nguyen & Mikhail Pakhnin, 2025. "Endogenous Discounting and Economic Dynamics," CESifo Working Paper Series 12156, CESifo.
    2. Mononen, Lasse, 2024. "Dynamically Consistent Intergenerational Welfare," Center for Mathematical Economics Working Papers 687, Center for Mathematical Economics, Bielefeld University.
    3. Sokolov, Mikhail V., 2024. "NPV, IRR, PI, PP, and DPP: A unified view," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    4. 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.
    5. Antoine Riche & Francesco Magris & Daria Onori, 2020. "Monetary rules in a two-sector endogenous growth model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 1049-1100, June.
    6. Łukasz Balbus, 2020. "On recursive utilities with non-affine aggregator and conditional certainty equivalent," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 551-577, September.
    7. Ha-Huy, Thai, 2022. "A tale of two Rawlsian criteria," Mathematical Social Sciences, Elsevier, vol. 118(C), pages 30-35.
    8. Rabah Amir, 2019. "Supermodularity and Complementarity in Economic Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 487-496, April.
    9. 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.
    10. Drugeon, Jean-Pierre & Ha-Huy, Thai, 2021. "On Multiple Discount Rates with Recursive Time-Dependent Orders," MPRA Paper 111308, University Library of Munich, Germany.
    11. Ha-Huy, Thai & Nguyen, Thi Tuyet Mai, 2022. "Saving and dissaving under Ramsey–Rawls criterion," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    12. Eisei Ohtaki, 2023. "Optimality in an OLG model with nonsmooth preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 611-659, September.
    13. Mononen, Lasse, 2024. "Dynamically Consistent Intertemporal Dual-Self Expected Utility," Center for Mathematical Economics Working Papers 686, Center for Mathematical Economics, Bielefeld University.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

    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:hal:journl:halshs-02096484. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.