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Indeterminacy in a log-linearized neoclassical growth model with quasi-geometric discounting

  • Maliar, Lilia
  • Maliar, Serguei

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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Article provided by Elsevier in its journal Economic Modelling.

Volume (Year): 23 (2006)
Issue (Month): 3 (May)
Pages: 492-505

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Handle: RePEc:eee:ecmode:v:23:y:2006:i:3:p:492-505
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  1. Caillaud, B. & Jullien, B., 1999. "Modelling Time Inconsistent Preferences," Papers 99.521, Toulouse - GREMAQ.
  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. Lilia Maliar & Serguei Maliar, 2005. "Solving the Neoclassical Growth Model with Quasi-Geometric Discounting: A Grid-Based Euler-Equation Method," Computational Economics, Society for Computational Economics, vol. 26(2), pages 163-172, October.
  4. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 573-597.
  5. Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers.
  6. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-57, July.
  7. H. M. Shefrin & Richard Thaler, 1977. "An Economic Theory of Self-Control," NBER Working Papers 0208, National Bureau of Economic Research, Inc.
  8. 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).
  9. Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1125-1152.
  10. Thaler, Richard H, 1990. "Saving, Fungibility, and Mental Accounts," Journal of Economic Perspectives, American Economic Association, vol. 4(1), pages 193-205, Winter.
  11. repec:oup:qjecon:v:112:y:1997:i:2:p:443-77 is not listed on IDEAS
  12. Laibson, David I., 1997. "Golden Eggs and Hyperbolic Discounting," Scholarly Articles 4481499, Harvard University Department of Economics.
  13. 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.
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