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On maximin dynamic programming and the rate of discount

Author

Listed:
  • Jean-Pierre Drugeon

    (Centre National de la Recherche Scientifique)

  • Thai Ha-Huy

    (Université Paris-Saclay
    Thang Long University)

  • Thi Do Hanh Nguyen

    (Vietnam Maritime University)

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," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 703-729, April.
    • Handle: RePEc:spr:joecth:v:67:y:2019:i:3:d:10.1007_s00199-018-1166-0
    DOI: 10.1007/s00199-018-1166-0
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Mononen, Lasse, 2024. "Dynamically Consistent Intergenerational Welfare," Center for Mathematical Economics Working Papers 687, Center for Mathematical Economics, Bielefeld University.
    2. Mikhail V. Sokolov, 2023. "NPV, IRR, PI, PP, and DPP: a unified view," Papers 2302.02875, arXiv.org, revised Nov 2023.
    3. 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.
    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. 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. Ha-Huy, Thai, 2022. "A tale of two Rawlsian criteria," Mathematical Social Sciences, Elsevier, vol. 118(C), pages 30-35.
    7. 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.
    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. Drugeon, Jean-Pierre & Ha-Huy, Thai, 2021. "On Multiple Discount Rates with Recursive Time-Dependent Orders," MPRA Paper 111308, University Library of Munich, Germany.
    10. 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.
    11. Mononen, Lasse, 2024. "Dynamically Consistent Intertemporal Dual-Self Expected Utility," Center for Mathematical Economics Working Papers 686, Center for Mathematical Economics, Bielefeld University.

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    More about this item

    Keywords

    Maximin principle; Non-convexities; Value function; Policy function; Supermodularity;
    All these 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

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