Stochastic Model of Economic Growth with Heterogeneous Technology and Technological Upgrading

  • Amine Jamali Alaoui
  • Mohammed El Khomssi
  • Badreddine El Goumi
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 37)


In our paper, we present in the first place a stochastic model of optimal growth with heterogeneous technology with job qualifications. We are based on the models of Pesaran, Binder and Romer with technological transfer, we find the optimal fraction for the qualification of the employment in order to obtain a more favorable income. Second, we establish the conditions on the coefficient of technological diffusion, for which the country partially upgrading with their technological level.


Economic growth Heterogeneous technology Stochastic model Technological upgrading 


  1. 1.
    Stolper, W., Samuelson, P.: Protection and real wages. Econ. J. 38(152), 543–559 (1941). JSTOR 2224098Google Scholar
  2. 2.
    Ramsey, F.P.: A mathematical theory of saving. Appl. Anal. 46(3–4), 219–239 (1928, 1992)Google Scholar
  3. 3.
    Solow, R.M.: A contribution to the theory of economic growth. Q. J. Econ. 70(1), 65–94 (1956)CrossRefGoogle Scholar
  4. 4.
    Domar, E.: Capital expansion, rate of growth, and employment. Econometrica 14(2), 137–147 (1946). CrossRefGoogle Scholar
  5. 5.
    Koopmans, T.C.: On the concept of optimal economic growth. In: The Economic Approach to Development Planning, pp. 225–287. Rand McNally, Chicago (1965)Google Scholar
  6. 6.
    Mankiw, N.G., Romer, D., Weil, D.N.: A contribution to the empirics of economic growth. Q. J. Econ. 107(2), 407–437 (1992)CrossRefzbMATHGoogle Scholar
  7. 7.
    Aghion, P., Howitt, P.: A model of growth through creative destruction. Econometrica 60(2), 323–351 (1992). CrossRefzbMATHGoogle Scholar
  8. 8.
    Harrod, R.F.: An essay in dynamic theory. Econ. J. 49(193), 14–33 (1939). CrossRefGoogle Scholar
  9. 9.
    Acemoglu, D., Robinson, J.A.: Persistence of power, elites and institutions. Am. Econ. Rev. 98(1), 267–293 (2008)CrossRefGoogle Scholar
  10. 10.
    Novales, A., Fernández, E., Ruiz, J.: Endogenous growth with accumulation of human capital. In: Economic Growth: Theory and Numerical Solution Methods, pp. 342–376. Berlin, Springer (2009). ISBN 978-3-540-68665-1Google Scholar
  11. 11.
    Novales, A., Fernandez, E., Ruiz, J.: Theory and Numerical Solution Methods, 558 p. Springer, Heidelberg (2014)Google Scholar
  12. 12.
    Asfiji, N.S., Isfahane, R.D., Bakhshi Dastjerdi, R., Fakhar, M.: Mathematical model of Solow economic growth model Modern Sientific Press Chernivtsi. Int. J. Mod. Math. Sci. 4(3), 118–125 (2012)Google Scholar
  13. 13.
    Saby, B., Dominique, S.: Les Grandes Thories Conomiques. Dunod, Paris (2003). ISBN 2 10 008153 5Google Scholar
  14. 14.
    Lee, K., Pesaran, M., Smith, R.: Growth and convergence in multi-country empirical stochastic Solow model. J. Appl. Econom. 12(4), 357–392, 319 pp. (1997, 2004)Google Scholar
  15. 15.
    Liberto, D., et al.: Past dominations, current institutions and the Italian regional economic performance. Intal. J. Pure Appl. Math 3(3), 255–273 (2002, 2008)Google Scholar
  16. 16.
    Nelson, R., Phelps, E.: Investment in humans, technological diffusion, and economic growth. Am. Econ. Rev. Pap. Proc. 61, 69–75 (1966)Google Scholar
  17. 17.
    Coe, D., Helpman, E.: International R&D spillovers. Eur. Econ. Rev. 39(5), 859–887 (1995)CrossRefGoogle Scholar
  18. 18.
    Kong, J., Phillips, P.C.B., Sul, D.: Weak s- convergence: theory and applications. Cowles Foundation Discussion Papers 2072, Cowles Foundation for Research in Economics, Yale University (2017)Google Scholar
  19. 19.
    El Ghak, T.: Productivite et clubs de convergence productivity and convergence clubs. 2(3), 19–46 (2009).
  20. 20.
    Cavdar, S.C., Aydin, A.D.: Empirical analysis about technological development and innovation indicators. J. Procedia - Soc. Behav. Sci. 195, 1486–1495 (2015). CrossRefGoogle Scholar
  21. 21.
    Ethier, W.J., Markusen, J.R.: Multinational firms, technology diffusion and trade. J. Int. Econ. 41, 1–28 (1996)CrossRefGoogle Scholar
  22. 22.
    McDonald, S., Robert, J.: Growth and multiple forms of human capital in an augmented Solow model: a panel data investigation. Econ. Lett. 74(2002), 271–276 (2002)CrossRefzbMATHGoogle Scholar
  23. 23.
    Benhabib, J., Spiegel, M.: Human capital and technology diffusion. In: Handbook of Economic Growth, chap. 13, vol. 1, Part A, pp. 935-966. Elsevier (2005)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Laboratory of Modeling and Scientific Computation, Sciences and technologies FacultySidi Mohamed Ben Abdellah UniversityFezMorocco

Personalised recommendations