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

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  • Mauro Bambi

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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Bibliographic Info

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

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  1. Fabrice Collard & Omar Licandro & Luis A. Puch, . "The short-run dynamics of optimal growth models with delays," Working Papers 2004-05, FEDEA.
  2. BOUCEKKINE, Raouf & LICANDRO, Omar & PUCH, Luis A. & DEL RIO, Fernando, . "Vintage capital and the dynamics of the AK model," CORE Discussion Papers RP -1757, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Craig Burnside & Martin Eichenbaum, 1994. "Factor Hoarding and the Propagation of Business Cycles Shocks," NBER Working Papers 4675, National Bureau of Economic Research, Inc.
  4. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  5. Fabrice Collard & Omar Licandro & Luis A. Puch, 2006. "Time-to-Build Echoes," Working Papers 2006-16, FEDEA.
  6. 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.
  7. Patrick K. Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," NBER Technical Working Papers 0211, National Bureau of Economic Research, Inc.
  8. 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.
  9. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
  10. Mauro BAMBI & Omar LICANDRO, 2004. "(In)determinacy and Time-to-Build," Economics Working Papers ECO2004/17, European University Institute.
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Citations

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Cited by:
  1. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Venditti, Alain, 2010. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," LERNA Working Papers 10.13.319, LERNA, University of Toulouse.
  2. BOUCEKKINE, Raouf & FABBRI, Giorgio & PINTUS, Patrick, . "On the optimal control of a linear neutral differential equation arising in economics," CORE Discussion Papers RP -2449, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. 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.
  4. Bambi, Mauro & Fabbri, Giorgio & Gozzi, Fausto, 2009. "Optimal policy and consumption smoothing effects in the time-to-build AK model," MPRA Paper 17128, University Library of Munich, Germany.
  5. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Backward- versus Forward-Looking Feedback Interest Rate Rules," Documents de travail du Centre d'Economie de la Sorbonne 12051, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  6. Mauro Bambi & Omar Licandro, 2011. "Endogenous Growth and Wave-Like Business Fluctuation," Working Papers 533, Barcelona Graduate School of Economics.
  7. Christoph Heinzel & Ralph Winkler, 2011. "Distorted Time Preferences and Time-to-Build in the Transition to a Low-Carbon Energy Industry," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 49(2), pages 217-241, June.
  8. Fabbri, Giorgio, 2006. "Viscosity solutions approach to economic models governed by DDEs," MPRA Paper 2826, University Library of Munich, Germany.
  9. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Documents de travail du Centre d'Economie de la Sorbonne 13007, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  10. Salvatore Federico, 2011. "A stochastic control problem with delay arising in a pension fund model," Finance and Stochastics, Springer, vol. 15(3), pages 421-459, September.

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