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Is Discrete Time a Good Representation of Continuous Time?

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  • Omar Licandro
  • Luis A. Puch

Abstract

Economists model time as continuous or discrete. The recent literature on continuous time models with delays should help to bridge the gap between these two families of models. In this note, we propose a simple time–to–build model in continuous time, and show that a discrete time version is a true representation of the continuous time problem under some sufficient conditions.

Suggested Citation

  • Omar Licandro & Luis A. Puch, 2006. "Is Discrete Time a Good Representation of Continuous Time?," Economics Working Papers ECO2006/28, European University Institute.
    • Handle: RePEc:eui:euiwps:eco2006/28
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    References listed on IDEAS

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    1. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    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.
    3. Hintermaier, Thomas, 2005. "A sunspot paradox," Economics Letters, Elsevier, vol. 87(2), pages 285-290, May.
    4. 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.
    5. Mauro BAMBI & Omar LICANDRO, 2004. "(In)determinacy and Time-to-Build," Economics Working Papers ECO2004/17, European University Institute.
    6. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    7. Fabrice Collard & Omar Licandro & Luis A. Puch, 2006. "Time-to-Build Echoes," Working Papers 2006-16, FEDEA.
    8. 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.
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    Cited by:

    1. Stefano Bosi & Lionel Ragot, 2009. "Time, bifurcations and economic applications," Post-Print halshs-00384513, HAL.
    2. Morhaim, Lisa & Ulus, Ayşegül Yıldız, 2023. "On history-dependent optimization models: A unified framework to analyze models with habits, satiation and optimal growth," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    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. Juan Sebastián Pereyra & Juan Gabriel Brida, 2008. "The Solow model in discrete time and decreasing population growth rate," Economics Bulletin, AccessEcon, vol. 3(41), pages 1-14.
    5. Gómez Manuel A., 2014. "Discrete Versus Continuous Time in an Endogenous Growth Model with Durable Consumption," Mathematical Economics Letters, De Gruyter, vol. 2(3-4), pages 1-9, November.

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    More about this item

    Keywords

    Discrete Time; Continuous Time; Time–to–Build; Delay; DDEs;
    All these keywords.

    JEL classification:

    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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