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(In)determinacy and Time-to-Build

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Author Info
Mauro BAMBI
Omar LICANDRO

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Abstract

This paper generalizes Benhabib and Farmer [4], by allowing for a strictly positive time-to-build of capital. The introduction of a time-to-build delay yields a system of mixed functional di¤erential equations. We show that the system has a unique steady state. More important, we prove that the dimension of the unstable manifold is at least one, which implies that a small time-to-build delay rules out local indeterminacy.

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Paper provided by European University Institute in its series Economics Working Papers with number ECO2004/17.

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Date of creation: 2004
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Handle: RePEc:eui:euiwps:eco2004/17

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Related research
Keywords: Indeterminacy Time-to-Build Mixed Functional Di¤erential Equations

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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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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. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June. [Downloadable!] (restricted)
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  2. 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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  3. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July. [Downloadable!] (restricted)
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  4. repec:cup:macdyn:v:7:y:2003:i:3:p:394-406 is not listed on IDEAS
  5. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 1999. "Vintage Capital and the Dynamics of the AK Model," Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper 2000009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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  6. Benhabib Jess & Rustichini Aldo, 1994. "Introduction to the Symposium on Growth, Fluctuations, and Sunspots: Confronting the Data," Journal of Economic Theory, Elsevier, vol. 63(1), pages 1-18, June. [Downloadable!] (restricted)
  7. Ioannides, Yannis M. & Taub, Bart, 1992. "On dynamics with time-to-build investment technology and non-time-separable leisure," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 225-241, April. [Downloadable!] (restricted)
  8. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June. [Downloadable!] (restricted)
  9. 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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  10. Hintermaier, Thomas, 2004. "A Sunspot Paradox," Economics Series 150, Institute for Advanced Studies. [Downloadable!]
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  11. Berthold Herrendorf & Akos Valentinyi, 2003. "Determinacy Through Intertemporal Adjustment Costs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 483-497, July. [Downloadable!] (restricted)
  12. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-53, March. [Downloadable!] (restricted)
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  13. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March. [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. Omar Licandro & Luis A. Puch, 2006. "Is Discrete Time a Good Representation of Continuous Time?," Economics Working Papers ECO2006/28, European University Institute. [Downloadable!]
    Other versions:
  2. Chryssi Giannitsarou & Alexia Anagnostopoulos, 2005. "Modeling Time and Macroeconomic Dynamics," Money Macro and Finance (MMF) Research Group Conference 2005 60, Money Macro and Finance Research Group. [Downloadable!]
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