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(In)determinacy and Time-to-Build


  • Mauro BAMBI


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.

Suggested Citation

  • Mauro BAMBI & Omar LICANDRO, 2004. "(In)determinacy and Time-to-Build," Economics Working Papers ECO2004/17, European University Institute.
  • Handle: RePEc:eui:euiwps:eco2004/17

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    References listed on IDEAS

    1. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    2. Hargreaves, Colin P. (ed.), 1994. "Non-Stationary Time Series Analysis and Cointegration," OUP Catalogue, Oxford University Press, number 9780198773924.
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    Cited by:

    1. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
    2. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
    3. 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.
    4. Omar Licandro & Luis A. Puch, 2006. "Is Discrete Time a Good Representation of Continuous Time?," Economics Working Papers ECO2006/28, European University Institute.
    5. Mauro Bambi, 2006. "Endogenous Growth and Time-to-Build: the AK Case," Economics Working Papers ECO2006/17, European University Institute.

    More about this item


    Indeterminacy; Time-to-Build; Mixed Functional Di¤erential Equations;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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