IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/113300.html
   My bibliography  Save this paper

Kantian optimization with quasi-hyperbolic discounting

Author

Listed:
  • Borissov, Kirill
  • Pakhnin, Mikhail
  • Wendner, Ronald

Abstract

We consider a neoclassical growth model with quasi-hyperbolic discounting under Kantian optimization: each temporal self acts in a way that they would like every future self to act. We introduce the notion of a Kantian policy as an outcome of Kantian optimization in a given class of policies. We derive and characterize a Kantian policy in the class of policies with a constant saving rate for an economy with log-utility and Cobb--Douglas production technology and an economy with isoelastic utility and linear production technology. In all cases, the Kantian saving rate is higher than the saving rate of sophisticated agents, and a Kantian path Pareto dominates a sophisticated path.

Suggested Citation

  • Borissov, Kirill & Pakhnin, Mikhail & Wendner, Ronald, 2022. "Kantian optimization with quasi-hyperbolic discounting," MPRA Paper 113300, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:113300
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/113300/1/MPRA_paper_113300.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Krusell, Per & Kuruscu, Burhanettin & Smith, Anthony Jr., 2002. "Equilibrium Welfare and Government Policy with Quasi-geometric Discounting," Journal of Economic Theory, Elsevier, vol. 105(1), pages 42-72, July.
    2. Sorger, Gerhard, 2004. "Consistent planning under quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 118(1), pages 118-129, September.
    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. 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.
    5. 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.
    6. Roemer, John E., 2015. "Kantian optimization: A microfoundation for cooperation," Journal of Public Economics, Elsevier, vol. 127(C), pages 45-57.
    7. Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(4), pages 1125-1152.
    8. Minwook Kang, 2015. "Welfare criteria for quasi-hyperbolic time preferences," Economics Bulletin, AccessEcon, vol. 35(4), pages 2506-2511.
    9. Ram Fishman, 2020. "Welfare implications of naive and sophisticated saving," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 623-638, April.
    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. 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.
    2. Francisco Cabo & Guiomar Martín-Herrán & María Pilar Martínez-García, 2020. "Non-constant Discounting, Social Welfare and Endogenous Growth with Pollution Externalities," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 76(2), pages 369-403, July.
    3. Ryoji Ohdoi & Koichi Futagami, 2021. "Welfare implications of non-unitary time discounting," Theory and Decision, Springer, vol. 90(1), pages 85-115, February.
    4. Hanming Fang & Dan Silverman, 2009. "Time-Inconsistency And Welfare Program Participation: Evidence From The Nlsy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1043-1077, November.
    5. Francisco M. Gonzalez & Itziar Lazkano & Sjak A. Smulders, 2015. "Future-biased government," Working Papers 1502, University of Waterloo, Department of Economics, revised Oct 2015.
    6. Dan Cao & Iván Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May.
    7. Luttmer, Erzo G.J. & Mariotti, Thomas, 2007. "Efficiency and equilibrium when preferences are time-inconsistent," Journal of Economic Theory, Elsevier, vol. 132(1), pages 493-506, January.
    8. Minwook Kang, 2019. "Pareto-improving tax policies under hyperbolic discounting," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 26(3), pages 618-660, June.
    9. Terrence Iverson & Larry Karp, 2021. "Carbon Taxes and Climate Commitment with Non-constant Time Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 764-799.
    10. Antony Millner & Geoffrey Heal, 2015. "Collective intertemporal choice: time consistency vs. time invariance," GRI Working Papers 220, Grantham Research Institute on Climate Change and the Environment.
    11. Anna Jaśkiewicz & Andrzej S. Nowak, 2021. "Markov decision processes with quasi-hyperbolic discounting," Finance and Stochastics, Springer, vol. 25(2), pages 189-229, April.
    12. Reyer Gerlagh, 2012. "Carbon Prices for the Next Thousand Years," Review of Environment, Energy and Economics - Re3, Fondazione Eni Enrico Mattei, August.
    13. Maliar, Lilia & Maliar, Serguei, 2006. "The Neoclassical Growth Model with Heterogeneous Quasi-Geometric Consumers," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(3), pages 635-654, April.
    14. Hiraguchi, Ryoji, 2016. "On a two-sector endogenous growth model with quasi-geometric discounting," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 26-35.
    15. Chatterjee, Satyajit & Eyigungor, Burcu, 2016. "Continuous Markov equilibria with quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 163(C), pages 467-494.
    16. Gonzalez, Francisco M. & Lazkano, Itziar & Smulders, Sjak A., 2018. "Intergenerational altruism with future bias," Journal of Economic Theory, Elsevier, vol. 178(C), pages 436-454.
    17. Lilia Maliar & Serguei Maliar, 2016. "Ruling Out Multiplicity of Smooth Equilibria in Dynamic Games: A Hyperbolic Discounting Example," Dynamic Games and Applications, Springer, vol. 6(2), pages 243-261, June.
    18. A. S. Nowak, 2010. "On a Noncooperative Stochastic Game Played by Internally Cooperating Generations," Journal of Optimization Theory and Applications, Springer, vol. 144(1), pages 88-106, January.
    19. Koichi Futagami & Yuta Nakabo, 2021. "Capital accumulation game with quasi-geometric discounting and consumption externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 251-281, February.
    20. Francisco M. Gonzalez & Itziar Lazkano & Sjak A. Smulders, 2014. "Second-best national saving and growth with intergenerational disagreement," Working Papers 1403, University of Waterloo, Department of Economics, revised Mar 2014.

    More about this item

    Keywords

    Quasi-hyperbolic discounting; Time inconsistency; Kantian equilibrium; Sophisticated agents; Saving rate; Welfare;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    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:113300. 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.