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Endogenous Growth and Time-to-Build: the AK Case

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Mauro Bambi

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Abstract

In this paper, a continuous time AK model is fully analyzed under the time-to-build assumption. Existence and uniqueness of a balance growth path, as well as oscillatory convergence are proved. Moreover, the role of transversality conditions and capital depreciation are highlighted. Numerical simulations are also provided for different choices of the time-to-build delay.

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Paper provided by European University Institute in its series Economics Working Papers with number ECO2006/17.

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Date of creation: 2006
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Handle: RePEc:eui:euiwps:eco2006/17

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Related research
Keywords: AK Model; Time-to-Build; D-Subdivision method;

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Find related papers by JEL classification:
E00 - Macroeconomics and Monetary Economics - - General - - - General
E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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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. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August. [Downloadable!] (restricted)
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  2. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December. [Downloadable!] (restricted)
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  3. Mauro BAMBI & Omar LICANDRO, 2004. "(In)determinacy and Time-to-Build," Economics Working Papers ECO2004/17, European University Institute. [Downloadable!]
  4. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November. [Downloadable!] (restricted)
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  5. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June. [Downloadable!] (restricted)
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  6. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June. [Downloadable!] (restricted)
  7. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005. "Vintage capital and the dynamics of the AK model," Journal of Economic Theory, Elsevier, vol. 120(1), pages 39-72, January. [Downloadable!] (restricted)
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  8. Fabrice COLLARD & Omar LICANDRO & Luis A. PUCH, 2004. "The short-run dynamics of optimal growth models with delays," Economics Working Papers ECO2004/04, European University Institute. [Downloadable!]
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  9. Burnside, Craig & Eichenbaum, Martin, 1996. "Factor-Hoarding and the Propagation of Business-Cycle Shocks," American Economic Review, American Economic Association, vol. 86(5), pages 1154-74, December. [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. Mauro Bambi, 2008. "Unifying time-to-build theory," CER-ETH Economics working paper series 08/98, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich. [Downloadable!]
  2. Ralph Winkler, 2008. "Optimal control of pollutants with delayed stock accumulation," CER-ETH Economics working paper series 08/91, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich. [Downloadable!]
  3. Fabbri, Giorgio, 2007. "Viscosity solutions to delay differential equations in demo-economy," MPRA Paper 2826, University Library of Munich, Germany. [Downloadable!]
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