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A One-Sector Optimal Growth Model in which Consuming Takes Time

Author

Listed:
  • Cuong Le Van

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, VCREME - Van Xuan Center of Research in Economics, Management and Environment, IPAG Business School, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Thai Ha-Huy

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Thi-Do-Hanh Nguyen

    (Hai Phong University)

Abstract

This article establishes a growth model in which consumption takes time. The agent faces a time constraint, i.e; her/his available amount of time must be optimally share between consuming time and working time. By using a dynamic programming argument, it is proved that the optimal capital sequences are monotonic and have property that converges to steady state. We also compare this model to the one agent growth model with elastic labor. We obtain that (i) When the quantity of time to consume one unit of consumption increases, the agent devotes less time for labour. (ii) When the quantity of time to consume one unit of consumption is smaller that the threshod, it is better for the economy to spend time to consume than to enjoy leisure. We have more time for labour. This implies more output and more consumption. We reverse the situation when the quantity of time to consume one unit of consumption is larger than the threshold. We give an example to illustrate this result. Finally, if both models have the same technology which is of constant returns to scale, then they have the same ratios capital stock per head and consumption per head.

Suggested Citation

  • Cuong Le Van & Thai Ha-Huy & Thi-Do-Hanh Nguyen, 2016. "A One-Sector Optimal Growth Model in which Consuming Takes Time," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01400195, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01400195
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01400195
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    References listed on IDEAS

    as
    1. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
    2. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
    3. repec:dau:papers:123456789/416 is not listed on IDEAS
    4. Jess Benhabib & Kazuo Nishimura, 2012. "Competitive Equilibrium Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 75-96, Springer.
    5. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
    6. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Post-Print halshs-00119098, HAL.
    7. repec:dau:papers:123456789/13605 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Chang, Juin-jen & Liu, Chia-ying & Wang, Wei-neng, 2018. "Conspicuous consumption and trade unionism," Journal of Macroeconomics, Elsevier, vol. 57(C), pages 350-366.

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    More about this item

    Keywords

    value function; time consuming model; allocation of time; elastic labour; leisure;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D6 - Microeconomics - - Welfare Economics
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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