Indeterminacy in a log-linearized neoclassical growth model with quasi-geometric discounting
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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- Per Krusell & Anthony A. Smith, Jr., 2003.
"Consumption--Savings Decisions with Quasi--Geometric Discounting,"
Econometric Society, vol. 71(1), pages 365-375, January.
- Per Krusell & Anthony A. Smith, Jr., "undated". "Consumption-Savings Decisions with Quasi-Geometric Discounting," GSIA Working Papers 2001-05, Carnegie Mellon University, Tepper School of Business.
- Per Krusell & Anthony A Smith, Jr., 2001. "Consumption Savings Decisions with Quasi-Geometric Discounting," NajEcon Working Paper Reviews 625018000000000251, www.najecon.org.
- Per Krusell & Anthony A Smith, Jr., 2001. "Consumption Savings Decisions with Quasi-Geometric Discounting," Levine's Working Paper Archive 625018000000000251, David K. Levine.
- Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers.
- 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.
- Per Krusell & Burhanettin Kuruscu & Anthony A. Smtih, Jr., "undated". "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," GSIA Working Papers 2001-06, Carnegie Mellon University, Tepper School of Business.
- 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.
- Per Krusell & Burhanettin Kuruscu & Anthony A. Smith Jr., 2001. "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," Temi di discussione (Economic working papers) 413, Bank of Italy, Economic Research and International Relations Area.
- Thaler, Richard H, 1990. "Saving, Fungibility, and Mental Accounts," Journal of Economic Perspectives, American Economic Association, vol. 4(1), pages 193-205, Winter.
- Thaler, Richard H & Shefrin, H M, 1981. "An Economic Theory of Self-Control," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 392-406, April.
- H. M. Shefrin & Richard Thaler, 1977. "An Economic Theory of Self-Control," NBER Working Papers 0208, National Bureau of Economic Research, Inc.
- 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.
- Caillaud, Bernard & Jullien, Bruno, 2000. "Modelling time-inconsistent preferences," European Economic Review, Elsevier, vol. 44(4-6), pages 1116-1124, May.
- Caillaud, B. & Jullien, B., 1999. "Modelling Time Inconsistent Preferences," Papers 99.521, Toulouse - GREMAQ.
- 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).
- Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
- Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.
- 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.
- 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.
- David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
- Laibson, David I., 1997. "Golden Eggs and Hyperbolic Discounting," Scholarly Articles 4481499, Harvard University Department of Economics.
- 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.
- Lilia Maliar & Serguei Maliar, 2005. "Matlab for "Parameterized Expectations Algorithm: How to Solve for Labor Easily"," QM&RBC Codes 147, Quantitative Macroeconomics & Real Business Cycles.
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