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Multiple Equilibria and Indeterminacy in an Optimal Growth Model with Endogenous Capital Depreciation

  • Gaowang Wang

    (Wuhan University)

  • Heng-fu Zou

    (Central University of Economics and Finance and Wuhan University)

This paper extends an otherwise standard one-sector neoclassical growth model by postulating that the depreciation rate of physical capital depends on the agent's efforts on maintenance and repairs. Specifically, we introduce endogenous depreciation into the standard optimal growth model via two different mechanisms and examine the steady state and the dynamics of the model economy qualitatively and quantitatively. We find that with plausibel parameter values, multiple equilibria and indeterminacy can arise in simply modified optimal growth model.

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Paper provided by China Economics and Management Academy, Central University of Finance and Economics in its series CEMA Working Papers with number 392.

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Length: 20 pages
Date of creation: 30 May 2010
Date of revision:
Handle: RePEc:cuf:wpaper:392
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  1. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
  2. William J. Baumol, 1971. "Optimal Depreciation Policy: Pricing the Products of Durable Assets," Bell Journal of Economics, The RAND Corporation, vol. 2(2), pages 638-656, Autumn.
  3. Spear, Stephen E., 1991. "Growth, externalities, and sunspots," Journal of Economic Theory, Elsevier, vol. 54(1), pages 215-223, June.
  4. Howitt, Peter & McAfee, R Preston, 1992. "Animal Spirits," American Economic Review, American Economic Association, vol. 82(3), pages 493-507, June.
  5. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
  6. George Evans & Seppo Honkapohja & Paul Romer, 1996. "Growth Cycles," NBER Working Papers 5659, National Bureau of Economic Research, Inc.
  7. Fujisaki, Seiya & Mino, Kazuo, 2009. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," MPRA Paper 16657, University Library of Munich, Germany.
  8. Mukoyama, Toshihiko, 2008. "Endogenous depreciation, mismeasurement of aggregate capital, and the productivity slowdown," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 513-522, March.
  9. Leonardo Auernheimer, 1986. "Variable Depreciation and Some of Its Implications," Canadian Journal of Economics, Canadian Economics Association, vol. 19(1), pages 99-113, February.
  10. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
  11. Gylfason, Thorvaldur & Zoega, Gylfi, 2007. "A golden rule of depreciation," Economics Letters, Elsevier, vol. 96(3), pages 357-362, September.
  12. Bitros, George C, 1976. "A Statistical Theory of Expenditures in Capital Maintenance and Repair," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 917-36, October.
  13. Rioja, Felix K., 2003. "Filling potholes: macroeconomic effects of maintenance versus new investments in public infrastructure," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 2281-2304, September.
  14. Dangl, Thomas & Wirl, Franz, 2004. "Investment under uncertainty: calculating the value function when the Bellman equation cannot be solved analytically," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1437-1460, April.
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