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Kantian Optimization with Quasi-Hyperbolic Discounting

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Listed:
  • Kirill Borissov
  • Mikhail Pakhnin
  • Ronald Wendner

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

  • Kirill Borissov & Mikhail Pakhnin & Ronald Wendner, 2022. "Kantian Optimization with Quasi-Hyperbolic Discounting," CESifo Working Paper Series 9790, CESifo.
    • Handle: RePEc:ces:ceswps:_9790
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    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. Borissov, Kirill & Pakhnin, Mikhail & Wendner, Ronald, 2021. "The Neoclassical Growth Model with Time-Inconsistent Decision Making and Perfect Foresight," MPRA Paper 108336, University Library of Munich, Germany.
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    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. Minwook Kang, 2015. "Welfare criteria for quasi-hyperbolic time preferences," Economics Bulletin, AccessEcon, vol. 35(4), pages 2506-2511.
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    9. 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.
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    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
    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • 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

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