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Models of Energy Use: Putty-Putty versus Putty-Clay

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Andrew Atkeson
Patrick J. Kehoe

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Abstract

In this paper, we build a version of the putty-clay model in which there is a large variety of types of capital goods which are combined with energy in different fixed proportions. Our principal contribution is to establish easily checked conditions under which the problem of solving for the equilibrium of the model economy reduces to a dynamic programming problem with only two endogenous state variables, regardless of the number of different types of capital goods that are allowed. In appropriate applications, this result allows us to avoid the 'curse of dimensionality' that typically plagues attempts to analyze the dynamics of economies with a wide variety of capital goods and binding non-negativity constraints on investment. We apply these results to study the equilibrium dynamics of value-added, investment, wages, and energy use in a simple model of energy use with putty-clay capital.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 4833.

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Date of creation: Aug 1994
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Handle: RePEc:nbr:nberwo:4833

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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. Cass, David & Stiglitz, Joseph E, 1969. "The Implications of Alternative Saving and Expectations Hypotheses for Choices of Technique and Patterns of Growth," Journal of Political Economy, University of Chicago Press, vol. 77(4), pages 586-627, Part II, . [Downloadable!] (restricted)
  2. Tatom, John A., 1988. "Are the macroeconomic effects of oil-price changes symmetric?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 28(1), pages 325-368, January. [Downloadable!] (restricted)
  3. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-68, August. [Downloadable!] (restricted)
  4. Hamilton, James D, 1983. "Oil and the Macroeconomy since World War II," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 228-48, April. [Downloadable!] (restricted)
  5. Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-57, December. [Downloadable!] (restricted)
  6. Finn, Mary G., 1995. "Variance properties of Solow's productivity residual and their cyclical implications," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1249-1281. [Downloadable!] (restricted)
  7. Mork, Knut Anton, 1989. "Oil and Macroeconomy When Prices Go Up and Down: An Extension of Hamilton's Results," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 740-44, June. [Downloadable!] (restricted)
  8. Julio J. Rotemberg & Michael Woodford, 1996. "Imperfect Competition and the Effects of Energy Price Increases on Economic Activity," NBER Working Papers 5634, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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