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Endogenous discounting and the domain of the felicity function

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  • Schumacher, Ingmar

Abstract

The objective is to show that endogenous discounting models should use a felicity function constrained to a positive domain. A variety of articles use the Mangasarian or Arrow and Kurz condition as a sufficient condition for optimality, which restricts felicity to a negative domain. Since the level of the felicity function shows up in the optimal path it leads to qualitatively different solutions when one uses a negative or positive felicity function. We suggest reasons why the domain should be positive. We furthermore derive sufficiency conditions for concavity of a transformed Hamiltonian if the felicity function is assumed to be positive.

Suggested Citation

  • Schumacher, Ingmar, 2011. "Endogenous discounting and the domain of the felicity function," Economic Modelling, Elsevier, vol. 28(1), pages 574-581.
    • Handle: RePEc:eee:ecmode:v:28:y:2011:i:1:p:574-581
    DOI: 10.1016/j.econmod.2010.06.014
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    Cited by:

    1. Schumacher, Ingmar, 2009. "Endogenous discounting via wealth, twin-peaks and the role of technology," Economics Letters, Elsevier, vol. 103(2), pages 78-80, May.
    2. Raouf Boucekkine & Blanca Martínez & J. Ramon Ruiz-Tamarit, 2018. "Optimal Population Growth as an Endogenous Discounting Problem: The Ramsey Case," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 321-347, Springer.
    3. Wu, Ting & He, Linfeng & Zhang, Fan, 2021. "Endogenous discounting, investment and Tobin’s q," The North American Journal of Economics and Finance, Elsevier, vol. 55(C).
    4. Camacho, Carmen & Saglam, Cagri & Turan, Agah, 2013. "Strategic interaction and dynamics under endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 291-301.
    5. François Belle-Larant & Hugo Mauron & Pascal da Costa, 2021. "Climate Change and Degrowth: a Nordhaus' DICE Model Set of Simulations based on Endogenous Discounting," Working Papers hal-03146625, HAL.
    6. Kawagishi, Taketo, 2014. "Investment for patience in an endogenous growth model," Economic Modelling, Elsevier, vol. 42(C), pages 508-515.
    7. Can Askan Mavi, 2019. "Can harmful events be another source of environmental traps?," CEE-M Working Papers halshs-02141789, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
    8. Schumacher, Ingmar, 2013. "Political stability, corruption and trust in politicians," Economic Modelling, Elsevier, vol. 31(C), pages 359-369.
    9. Mavi, Can Askan, 2020. "Can harmful events be another source of environmental traps?," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 29-46.
    10. Six, M. & Wirl, F., 2015. "Optimal pollution management when discount rates are endogenous," Resource and Energy Economics, Elsevier, vol. 42(C), pages 53-70.
    11. Can Askan Mavi, 2020. "Can harmful events be another source of environmental traps?," Post-Print hal-02880592, HAL.
    12. Bouché, Stéphane, 2017. "Learning by doing, endogenous discounting and economic development," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 34-43.
    13. Hirose, K. & Ikeda, Shinsuke, 2015. "Decreasing marginal impatience destabilizes multi-country economies," Economic Modelling, Elsevier, vol. 50(C), pages 237-244.
    14. Can Askan Mavi, 2019. "Can harmful events be another source of environmental traps?," Working Papers halshs-02141789, HAL.

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    More about this item

    Keywords

    Endogenous time preference; Optimality; Recursive utility; Felicity;
    All these keywords.

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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