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Non-constant discounting and Ak-type growth models

Author

Listed:
  • Cabo, Francisco
  • Martín-Herrán, Guiomar
  • Martínez-García, María Pilar

Abstract

This paper analyzes an Ak-type endogenous growth model under non-constant discounting, assuming both naïve and sophisticated consumers. For both types of consumers an isoelastic utility with an intertemporal elasticity below one guarantees observational equivalence under exponential and non-constant discounting, but rejects strong equivalence (identical overall impatience does not lead to identical growth rates). Further, polices aimed at increasing productivity of the economy are less growth-enhancing than typically predicted by the literature with exponential discounting.

Suggested Citation

  • Cabo, Francisco & Martín-Herrán, Guiomar & Martínez-García, María Pilar, 2015. "Non-constant discounting and Ak-type growth models," Economics Letters, Elsevier, vol. 131(C), pages 54-58.
    • Handle: RePEc:eee:ecolet:v:131:y:2015:i:c:p:54-58
    DOI: 10.1016/j.econlet.2015.03.040
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. 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.
    3. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    4. Farzin, Y. Hossein & Wendner, Ronald, 2014. "The Time Path of the Saving Rate: Hyperbolic Discounting and Short-Term Planning," MPRA Paper 54614, University Library of Munich, Germany.
    5. Strulik, Holger, 2015. "Hyperbolic discounting and endogenous growth," Economics Letters, Elsevier, vol. 126(C), pages 131-134.
    6. repec:grz:wpaper:2014-04 is not listed on IDEAS
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    8. 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.
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    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.
    2. Cabo, Francisco & Martín-Herrán, Guiomar & Martínez-García, María Pilar, 2016. "Unbounded growth in the Neoclassical growth model with non-constant discounting," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 93-104.
    3. Shinya Tsukahara, 2019. "Present bias and endogenous fiscal deficits: Revisiting Woo (2005)," Economics Bulletin, AccessEcon, vol. 39(3), pages 1666-1676.
    4. Kang, Minwook & Kim, Eungsik, 2024. "Present bias and endogenous growth," Economics Letters, Elsevier, vol. 236(C).
    5. Cabo, Francisco & Martín-Herrán, Guiomar & Martínez-García, María Pilar, 2020. "Present bias and the inefficiency of the centralized economy: The role of the elasticity of intertemporal substitution," Economic Modelling, Elsevier, vol. 93(C), pages 702-716.

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    More about this item

    Keywords

    Non-constant discounting; Endogenous growth; Time-consistent and time-inconsistent solutions;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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