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The Neoclassical Growth Model with Heterogeneous Quasi-Geometric Consumers

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  • Maliar, Lilia
  • Maliar, Serguei

Abstract

This paper investigates how the assumption of quasi-geometric (hyperbolic) discounting affects the distributional implications of the standard one-sector neoclassical growth model with infinitely lived heterogeneous agents. The agents are subject to idiosyncratic shocks and face borrowing constraints. We confine attention to an interior Markov recursive equilibrium. The consequence of quasi-geometric discounting is that the effective discount factor of an agent is not a constant, but an endogenous variable which depends on the agent's current state. We show, both analytically and by simulation, that this new feature can significantly affect the distributional implications of the neoclassical growth model.

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  • 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.
  • Handle: RePEc:mcb:jmoncb:v:38:y:2006:i:3:p:635-654
    DOI: 10.1353/mcb.2006.0045
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    1. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
    2. R. A. Pollak, 1968. "Consistent Planning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 201-208.
    3. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
    4. 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.
    5. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1992. "Earnings uncertainty and precautionary saving," Journal of Monetary Economics, Elsevier, vol. 30(2), pages 307-337, November.
    6. David I. Laibson & Andrea Repetto & Jeremy Tobacman, 1998. "Self-Control and Saving for Retirement," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1), pages 91-196.
    7. Vincenzo Quadrini & José-Víctor Ríos-Rull, 1997. "Understanding the U.S. distribution of wealth," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 21(Spr), pages 22-36.
    8. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-992, July.
    9. Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October.
    10. Lilia Maliar & Serguei Maliar, 2003. "Solving The Neoclassical Growth Model With Quasi-Geometric Discounting: Non-Linear Euler-Equation Models," Working Papers. Serie AD 2003-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    12. Christopher D. Carroll, 1994. "How does Future Income Affect Current Consumption?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 111-147.
    13. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    14. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    15. Christopher D. Carroll, 2000. "Requiem for the Representative Consumer? Aggregate Implications of Microeconomic Consumption Behavior," American Economic Review, American Economic Association, vol. 90(2), pages 110-115, May.
    16. Christopher D. Carroll & Andrew A. Samwick, 1998. "How Important Is Precautionary Saving?," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 410-419, August.
    17. 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.
    18. 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.
    19. Karen E. Dynan, 1993. "How prudent are consumers?," Working Paper Series / Economic Activity Section 135, Board of Governors of the Federal Reserve System (U.S.).
    20. 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.
    21. José-Víctor Ríos-Rull, 1997. "Computation of equilibria in heterogeneous agent models," Staff Report 231, Federal Reserve Bank of Minneapolis.
    22. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    23. Dynan, Karen E, 1993. "How Prudent Are Consumers?," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1104-1113, December.
    24. Marimon, Ramon & Scott, Andrew (ed.), 1999. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780198294979, Decembrie.
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    Cited by:

    1. Boyarchuk, Dmytro & Maliar, Lilia & Maliar, Serguei, 2005. "The consumption and welfare implications of wage arrears in transition economies," Journal of Comparative Economics, Elsevier, vol. 33(3), pages 540-564, September.
    2. 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.
    3. Maliar, Lilia & Maliar, Serguei & Valli, Fernando, 2010. "Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 42-49, January.
    4. Lilia Maliar & Serguei Maliar, 2005. "Solving the Neoclassical Growth Model with Quasi-Geometric Discounting: A Grid-Based Euler-Equation Method," Computational Economics, Springer;Society for Computational Economics, vol. 26(2), pages 163-172, October.
    5. 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.
    6. Lilia Maliar & Kateryna Garmel & Serguei Maliar, 2005. "The Eu Eastern Enlargement And Fdi: The Implications From A Neoclassical Growth Model," Working Papers. Serie AD 2005-29, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. Lilia Maliar & Serguei Maliar, 2003. "Heterogeneity In The Degree Of Quasi-Geometric Discounting: The Distributional Implications," Working Papers. Serie AD 2003-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. Richard Dennis & Oleg Kirsanov, 2020. "Monetary Policy when Preferences are Quasi-Hyperbolic," Working Papers 2020_05, Business School - Economics, University of Glasgow.
    9. Garmel, Kateryna & Maliar, Lilia & Maliar, Serguei, 2008. "EU eastern enlargement and foreign investment: Implications from a neoclassical growth model," Journal of Comparative Economics, Elsevier, vol. 36(2), pages 307-325, June.

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    More about this item

    JEL classification:

    • 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
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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