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Indeterminacy In A Log-Linearized Neoclassical Rowth Model With Quasi-Geometric Discounting

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Author Info
Lilia Maliar () (Universidad de Alicante)
Serguei Maliar (Universidad de Alicante)

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Abstract

This paper studies the properties of solutions to a log-linearized version of the neoclassical growth model with quasi-geometric discounting. We show that after the log-linearization, the model has indeterminacy and multiplicity of equilibria even though the original non-linear model has a unique interior solution. Specifically, in both the deterministic and stochastic cases, the log-linearized model has a continuum of steady states. In the deterministic case, there is a unique log-linear policy function leading to each steady state, while in the stochastic case, there is a continuum of log-linear policy functions, associated with each steady state. Hence, the standard log-linearization method cannot be applied for solving models with quasi-geometric discounting.

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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2003-13.

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Length: 20 pages
Date of creation: Apr 2003
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2003-13

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Related research
Keywords: quasi-geometric (quasi-hyperbolic) discounting; time inconsistency; neoclassical growth model;

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Caillaud, Bernard & Jullien, Bruno, 2000. "Modelling time-inconsistent preferences," European Economic Review, Elsevier, vol. 44(4-6), pages 1116-1124, May. [Downloadable!] (restricted)
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  2. Krusell, Per & Kuruscu, Burhanettin & Smith Jr., Anthony A, 2001. "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," CEPR Discussion Papers 2693, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  3. 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). [Downloadable!]
  4. Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November. [Downloadable!] (restricted)
  5. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  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(1998-1), pages 91-196. [Downloadable!]
  7. Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  8. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-57, July.
    Other versions:
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