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The discrete time version of the Romer model

Author

Listed:
  • Lisa Morhaim

    (CERMSEM, Université de Paris I, MSE, 106-112 Bd de l'Hôpital, 75013 Paris, FRANCE)

  • Charles-Henri Dimaria

    (CERMSEM, Université de Paris I, MSE, 106-112 Bd de l'Hôpital, 75013 Paris, FRANCE)

  • Cuong Le Van

    (CNRS-CERMSEM, Université de Paris I, MSE, 106-112 Bd de l'Hôpital, 75013 Paris, FRANCE)

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

  • Lisa Morhaim & Charles-Henri Dimaria & Cuong Le Van, 2002. "The discrete time version of the Romer model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 133-158.
    • Handle: RePEc:spr:joecth:v:20:y:2002:i:1:p:133-158
    Note: Received: March 7, 2000; revised version: April 25, 2001
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    Citations

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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, June.
    2. 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.
    3. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
    4. 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(2), pages 147-161, April.
    5. 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, vol. 42(1), pages 46-55, February.
    6. Burgi, Constantin & Gorgulu, Nisan, 2021. "The Impact of the Spatial Population Distribution on Economic Growth," Working Papers 17-2021, Copenhagen Business School, Department of Economics.
    7. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
    8. 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, March.
    9. Thanh Tam Nguyen-Huu & Ngoc-Sang Pham, 2021. "Escaping the middle income trap and getting economic growth: How does FDI can help the host country?," Working Papers halshs-03143087, HAL.
    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).
    11. Marrero, Gustavo A., 2008. "Revisiting The Optimal Stationary Public Investment Policy In Endogenous Growth Economies," Macroeconomic Dynamics, Cambridge University Press, vol. 12(2), pages 172-194, April.
    12. Jean-Michel Grandmont, 2013. "Tribute to Cuong Le Van," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 5-10, March.
    13. 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.
    14. Crettez, Bertrand & Hayek, Naila & Morhaim, Lisa, 2017. "Optimal growth with investment enhancing labor," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 23-36.
    15. Constantin Bürgi & Nisan Gorgulu, 2022. "The Impact of the Spatial Population Distribution on Economic Growth: Evidence from the United States," CESifo Working Paper Series 10008, CESifo.
    16. Thanh Tam Nguyen-Huu & Ngoc‐sang Pham, 2023. "FDI spillovers, New Industry Development, and Economic Growth," Post-Print hal-04240260, HAL.
    17. Marius Valentin Boldea, 2006. "On the equilibrium in a discrete-time Lucas Model," Post-Print halshs-00118829, HAL.

    More about this item

    Keywords

    Optimal growth; Optimal path; Increasing returns; Competitive equilibrium.;
    All these keywords.

    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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