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Optimal growth when consumption takes time

Author

Listed:
  • Thai Ha‐huy

    (TIMAS - Institute of Mathematics and Applied Science, EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne - Université Paris-Saclay)

  • Cuong Le Van

    (IPAG Business School, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, 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, TIMAS - Institute of Mathematics and Applied Science)

  • Thi‐do‐hanh Nguyen

    (VMU - Vietnam Maritime University [Hai Phon])

Abstract

This article analyzes a one-sector growth model where the consumption takes time. When the consumption takes time, the consumption set is compact and we meet satiety. However, we prove that dynamic constraints are binding. This result is crucial to prove that, under well-known assumptions in macroeconomic dynamic programming, the optimal path is monotonic and always converges to a unique nontrivial steady state as in the case where consumption is timeless.

Suggested Citation

  • Thai Ha‐huy & Cuong Le Van & Thi‐do‐hanh Nguyen, 2020. "Optimal growth when consumption takes time," PSE-Ecole d'économie de Paris (Postprint) hal-03261249, HAL.
    • Handle: RePEc:hal:pseptp:hal-03261249
    DOI: 10.1111/jpet.12467
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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 & Anh Ngoc Nguyen & Ngoc‐Minh Nguyen & Michel Simioni, 2018. "Growth strategy with social capital, human capital and physical capital—Theory and evidence: The case of Vietnam," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(5), pages 768-787, October.
    3. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00119098, HAL.
    4. repec:dau:papers:123456789/416 is not listed on IDEAS
    5. 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.
    6. Simon Fan & Yu Pang & Pierre Pestieau, 2020. "A model of the optimal allocation of government expenditures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(4), pages 845-876, August.
    7. Cuong Le Van & Phu Nguyen‐Van & Amélie Barbier‐Gauchard & Duc‐Anh Le, 2019. "Government expenditure, external and domestic public debt, and economic growth," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(1), pages 116-134, February.
    8. Kamihigashi, Takashi & Roy, Santanu, 2007. "A nonsmooth, nonconvex model of optimal growth," Journal of Economic Theory, Elsevier, vol. 132(1), pages 435-460, January.
    9. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    10. Cuong Le Van & Rose-Anne Dana, 2003. "Dynamic Programming in Economics," Post-Print halshs-00119098, HAL.
    11. repec:dau:papers:123456789/13605 is not listed on IDEAS
    12. Cuong Le Van & Anh-Ngoc Nguyen & Ngoc-Minh Nguyen, 2014. "Growth Strategy with Social Capital and Physical Capital- Theory and Evidence: the Case of Vietnam," Documents de travail du Centre d'Economie de la Sorbonne 14045, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    13. Cuong Le Van & Yiannis Vailakis, 2004. "Existence of competitive equilibrium in a single-sector growth model with elastic labour," Cahiers de la Maison des Sciences Economiques b04123, Université Panthéon-Sorbonne (Paris 1).
    14. Sugata Ghosh & Trishita Ray Barman & Manash Ranjan Gupta, 2020. "Are short‐term effects of pollution important for growth and optimal fiscal policy?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1262-1288, September.
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    Cited by:

    1. Dam, My & Ha-Huy, Thai & Le Van, Cuong & Nguyen, Thi Tuyet Mai, 2020. "Economic dynamics with renewable resources and pollution," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 14-26.

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