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On the Optimal Control of the Vintage Capital Growth Model with Endogenous Labour Supply

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Abstract

We prove that the introduction of endogenous indivisible labor supply into the vintage capital growth model does not rule out the turnpike and optimal permanent regime properties, notably the non- monotonicity properties of optimal paths, inherent in this model.

Suggested Citation

  • Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2013. "On the Optimal Control of the Vintage Capital Growth Model with Endogenous Labour Supply," AMSE Working Papers 1303, Aix-Marseille School of Economics, France, revised 05 Feb 2013.
    • Handle: RePEc:aim:wpaimx:1303
    Note: C61, C62, O40
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    References listed on IDEAS

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    1. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 1998. "Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-384, December.
    2. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
    3. N. Hritonenko & Yu. Yatsenko, 2005. "Turnpike and Optimal Trajectories in Integral Dynamic Models with Endogenous Delay," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 109-127, October.
    4. 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.
    5. repec:cor:louvrp:-1376 is not listed on IDEAS
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    2. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2013. "Health, Work Intensity, and Technological Innovations," Working Papers halshs-00805199, HAL.

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    Keywords

    Optimal control; integral equations with delays and advances; vintage capital; endogenous labor supply.;
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