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Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting

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Author Info
Per Krusell
Burhanettin Kuruscu
Anthony A. Smtih, Jr.

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Abstract

We consider a representative-agent equilibrium model where the consumer has quasi-geometric discounting and cannot commit to future actions. With restricted attention to a parametric class for preferences and technology--logarithmic utility, Cobb-Douglas production, and full depreciaiton--we solve for time-consistent competitive equilibria globally and explicitly. For this class, we characterize the welfare properties of competitive equilibria and compare them to that of a planning problem. The planner is a consumer representative who, without commitment but in a time-consistent way, maximizes his present-value utility subject to resources constraints. The competitive equilibrium results in strictly higher welfare than does the planning problem whenever the discounting is not geometric. We also explicitly consider taxation in our environment. With a benevolent government that can tax income and capital, but cannot commit its future tax rates, time-consistent taxation leads to positive tax rates on capital. These tax rates reproduce the central planning solution, and thus imply a worse outcome in welfare terms when there is no government.

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Publisher Info
Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2001-06.

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Handle: RePEc:cmu:gsiawp:515949340

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Postal: Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890
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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. Per Krusell & Burhanettin Kuruscu & Anthony A. Smith, Jr., 2000. "Temptation and Taxation," GSIA Working Papers 2001-12, Carnegie Mellon University, Tepper School of Business.
  2. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, 01. [Downloadable!] (restricted)
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  3. Rogoff, Kenneth, 1985. "The Optimal Degree of Commitment to an Intermediate Monetary Target," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1169-89, November. [Downloadable!] (restricted)
  4. David I. Laibson, 1996. "Hyperbolic Discount Functions, Undersaving, and Savings Policy," NBER Working Papers 5635, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Per Krusell & Jose-Victor Rios-Rull, 1999. "On the Size of U.S. Government: Political Economy in the Neoclassical Growth Model," American Economic Review, American Economic Association, vol. 89(5), pages 1156-1181, December. [Downloadable!] (restricted)
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  6. 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)
  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.
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  9. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June. [Downloadable!] (restricted)
  10. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November. [Downloadable!] (restricted)
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