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The Discrete Time Version of the Romer Model

Author

Listed:
  • Le Van, C.
  • Morhaim, L.
  • Dimaria, C.-H.

Abstract

This paper presents a discrete time version of the Romer 1986 model of endogenous growth. The purpose of this work is to propose detailed and simple proofs of existence of optimal solutions and of a competitive equilibrium. The framework implemented here reduces the complexity of the proofs given by Romer (1983) in his Ph.D dissertation in a continuous time framework.

Suggested Citation

  • Le Van, C. & Morhaim, L. & Dimaria, C.-H., 2000. "The Discrete Time Version of the Romer Model," Papiers d'Economie Mathématique et Applications 2000.63, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:fth:pariem:2000.63
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    1. Alberto Alesina & Eliana La Ferrara, 2000. "Participation in Heterogeneous Communities," The Quarterly Journal of Economics, Oxford University Press, vol. 115(3), pages 847-904.
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    Cited by:

    1. Alain Venditti, 2003. "Altruism and Determinacy of Equilibria in Overlapping Generations Models with Externalities," The Japanese Economic Review, Japanese Economic Association, vol. 54(2), pages 179-202.
    2. Marrero, Gustavo A., 2008. "Revisiting The Optimal Stationary Public Investment Policy In Endogenous Growth Economies," Macroeconomic Dynamics, Cambridge University Press, vol. 12(02), pages 172-194, April.
    3. Crettez, Bertrand & Morhaim, Lisa, 2012. "Existence of competitive equilibrium in a non-optimal one-sector economy without conditions on the distorted marginal product of capital," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 197-206.
    4. Cuong Le Van & Tu Anh Nguyen & Tran Dinh Tuan, 2013. "Saving Rate, Total Factor Productivity and Growth Process for Developing Countries," Working Papers 05, Development and Policies Research Center (DEPOCEN), Vietnam.
    5. Leonard J. Mirman & Kevin Reffett & John Stachurski, 2005. "Some stability results for Markovian economic semigroups," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 57-72.
    6. Le Van, Cuong & Saglam, H. Cagri, 2004. "Quality Of Knowledge Technology, Returns To Production Technology, And Economic Development," Macroeconomic Dynamics, Cambridge University Press, vol. 8(02), pages 147-161, April.
    7. Crettez, Bertrand & Hayek, Naila & Morhaim, Lisa, 2017. "Optimal growth with investment enhancing labor," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 23-36.
    8. d'Albis, Hippolyte & Le Van, Cuong, 2006. "Existence of a competitive equilibrium in the Lucas (1988) model without physical capital," Journal of Mathematical Economics, Elsevier, pages 46-55.
    9. repec:hal:journl:halshs-00118829 is not listed on IDEAS
    10. Marius Valentin Boldea, 2006. "On the equilibrium in a discrete-time Lucas Model with endogenous leisure," Cahiers de la Maison des Sciences Economiques b06054, Université Panthéon-Sorbonne (Paris 1).

    More about this item

    Keywords

    GROWTH MODELS ; COMPETITION ; INNOVATIONS;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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