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Uzawa's Transformation and Optimal Control Problems With Variable Rates of Time Preference

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Author Info
Francis, J.
Kompas, T.

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Abstract

Uzawa (1968) first introduced a simple and appealing method for reducing problems with variable rates of time preference to single-state systems by transforming the time scale from t to (delta's symbol), a utility discount factor. The purpose of this paper is to show that Uzawa's transformation is valid only when the underlying system to be analyzed is autonomous.

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Publisher Info
Paper provided by Australian National University - Department of Economics in its series Papers with number 354.

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Length: 19 pages
Date of creation: 1998
Date of revision:
Handle: RePEc:fth:aunaec:354

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Postal: THE AUSTRALIAN NATIONAL UNIVERSITY, DEPARTMENT OF ECONOMICS, RESEARCH SCHOOL of PACIFIC STUDIES, RESEARCH SCHOOL OF SOCIAL SCIENCES, G.P.O. 4, CANBERRA ACT 2601 AUSTRALIA..O. BOX 4 CANBERRA 2601 AUSTRALIA.
Web page: http://economics.anu.edu.au/economics.htm
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Related research
Keywords: LIFE CYCLE ; MATHEMATICAL MODELS ; FINANCIAL MARKET;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
F30 - International Economics - - International Finance - - - General

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. Obstfeld, Maurice, 1982. "Aggregate Spending and the Terms of Trade: Is There a Laursen-Metzler Effect?," The Quarterly Journal of Economics, MIT Press, vol. 97(2), pages 251-70, May. [Downloadable!] (restricted)
    Other versions:
  2. Stephen J. Turnovsky, 1997. "International Macroeconomic Dynamics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262201119.
  3. Obstfeld, Maurice, 1990. "Intertemporal dependence, impatience, and dynamics," Journal of Monetary Economics, Elsevier, vol. 26(1), pages 45-75, August. [Downloadable!] (restricted)
    Other versions:
  4. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October. [Downloadable!] (restricted)
  5. Engel, Charles & Kletzer, Kenneth, 1989. "Saving and Investment in an Open Economy with Non-traded Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(4), pages 735-52, November. [Downloadable!] (restricted)
    Other versions:
  6. Uzawa, H, 1969. "Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 77(4), pages 628-52, Part II, . [Downloadable!] (restricted)
  7. Obstfeld, Maurice, 1981. "Macroeconomic Policy, Exchange-Rate Dynamics, and Optimal Asset Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1142-61, December. [Downloadable!] (restricted)
    Other versions:
  8. Obstfeld, Maurice, 1981. "Capital Mobility and Devaluation in an Optimizing Model with Rational Expectations," American Economic Review, American Economic Association, vol. 71(2), pages 217-21, May. [Downloadable!] (restricted)
    Other versions:
  9. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February. [Downloadable!] (restricted)
  10. Robert J. Barro & Paul Romer, 1993. "Economic Growth," NBER Books, National Bureau of Economic Research, Inc, number barr93-1.
    Other versions:
    • Robert J. Barro & Paul M. Romer, 1991. "Economic Growth," NBER Books, National Bureau of Economic Research, Inc, number barr91-1.
  11. repec:fth:harver:1504 is not listed on IDEAS
  12. Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-35, August. [Downloadable!] (restricted)
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Cited by:
(explanations, 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. Tom Kompas & Omar Abdel-Razeq, 2001. "A Simple Monetary Growth Model with Variable Rates of Time Preference," Finance Working Papers 582, East Asian Bureau of Economic Research. [Downloadable!]
  2. Tom Kompas & Omar Abdel-Razeq, 2001. "A Simple Monetary Growth Model with Variable Rates of Time Preference," International and Development Economics Working Papers idec01-10, International and Development Economics. [Downloadable!]
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