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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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    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. 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.
    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. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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).
    14. 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.
    15. Crettez, Bertrand & Hayek, Naila & Morhaim, Lisa, 2017. "Optimal growth with investment enhancing labor," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 23-36.
    16. Thanh Tam Nguyen-Huu & Ngoc‐sang Pham, 2023. "FDI spillovers, New Industry Development, and Economic Growth," Post-Print hal-04240260, HAL.
    17. 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.
    18. 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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