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Delay equivalence in capital accumulation models

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  • Caulkins, Jonathan P.
  • Hartl, Richard F.
  • Kort, Peter M.

Abstract

We study delays in capital accumulation models. Our contribution is threefold. First, we identify a class of models that can be transformed into standard optimal control models without delay. Second, in the single state versions of these models the state trajectory is monotonic in the optimal solution. This is noteworthy given the common belief that adding delays facilitates oscillatory behavior of capital, output and investment. Third, we identify an equivalence result between time-to-install/deliver problems and time-to-build problems.

Suggested Citation

  • Caulkins, Jonathan P. & Hartl, Richard F. & Kort, Peter M., 2010. "Delay equivalence in capital accumulation models," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1243-1246, November.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1243-1246
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    References listed on IDEAS

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    1. M. Bambi & G. Fabbri & F. Gozzi, 2012. "Optimal policy and consumption smoothing effects in the time-to-build AK model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 635-669, August.
    2. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
    3. Hartl, Richard F., 1987. "A simple proof of the monotonicity of the state trajectories in autonomous control problems," Journal of Economic Theory, Elsevier, vol. 41(1), pages 211-215, February.
    4. Richard Hartl & Peter Kort, 2010. "Delay in finite time capital accumulation," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 465-475, December.
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    1. Richard Hartl & Peter Kort, 2010. "Delay in finite time capital accumulation," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 465-475, December.

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