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The Transitional Dynamics of an Endogenous Growth Model: Generalizing Production Functions

Author

Listed:
  • Gómez Manuel A.

    (University of A Coruña)

  • Sequeira Tiago Neves

    (Universidade da Beira Interior (DGE and CEFAGE-UBI) and Universidade Nova de Lisboa (INOVA))

Abstract

This paper devises a class of endogenous growth models with physical capital, human capital and product varieties. Unlike previous literature, we introduce a general specification of production that allows for disentangling the gains from specialization from the monopolistic markup. The consequences of separating both parameters on the equilibrium dynamics of the model are analyzed. We find that the long-run growth rate ceases to depend on the markup when it is disentangled from the returns to specialization, and the same happens with the conditions for saddle-path stability. Numerical simulations show that the steady-state equilibria are more prone to be stable in the model that disentangles parameters. Furthermore, the model is able to generate a rich variety of development scenarios, accounting for a number of stylized facts related to the development process of industrialized countries.

Suggested Citation

  • Gómez Manuel A. & Sequeira Tiago Neves, 2012. "The Transitional Dynamics of an Endogenous Growth Model: Generalizing Production Functions," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(5), pages 1-27, December.
    • Handle: RePEc:bpj:sndecm:v:16:y:2012:i:5:p:1-27:n:6
    DOI: 10.1515/1558-3708.1937
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    1. Stokey, Nancy L & Rebelo, Sergio, 1995. "Growth Effects of Flat-Rate Taxes," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 519-550, June.
    2. Benassy, Jean-Pascal, 1998. "Is there always too little research in endogenous growth with expanding product variety?," European Economic Review, Elsevier, vol. 42(1), pages 61-69, January.
    3. Funke, Michael & Strulik, Holger, 2000. "On endogenous growth with physical capital, human capital and product variety," European Economic Review, Elsevier, vol. 44(3), pages 491-515, March.
    4. Benassy, Jean-Pascal, 1996. "Taste for variety and optimum production patterns in monopolistic competition," Economics Letters, Elsevier, vol. 52(1), pages 41-47, July.
    5. Jess Benhabib & Qinglai Meng & Kazuo Nishimura, 2012. "Indeterminacy Under Constant Returns to Scale in Multisector Economies," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 403-412, Springer.
    6. Susanto Basu, 1996. "Procyclical Productivity: Increasing Returns or Cyclical Utilization?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 719-751.
    7. Gómez, Manuel A., 2011. "Duplication externalities in an endogenous growth model with physical capital, human capital, and R&D," Economic Modelling, Elsevier, vol. 28(1-2), pages 181-187, January.
    8. Brunner, Martin & Strulik, Holger, 2002. "Solution of perfect foresight saddlepoint problems: a simple method and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 737-753, May.
    9. Norrbin, Stefan C, 1993. "The Relation between Price and Marginal Cost in U.S. Industry: A Contradiction," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1149-1164, December.
    10. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    11. Lutz G. Arnold, 2000. "Endogenous technological change: a note on stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 219-226.
    12. Eicher, Theo S. & Turnovsky, Stephen J., 2001. "Transitional dynamics in a two-sector non-scale growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 25(1-2), pages 85-113, January.
    13. Jones, Charles I & Williams, John C, 2000. "Too Much of a Good Thing? The Economics of Investment in R&D," Journal of Economic Growth, Springer, vol. 5(1), pages 65-85, March.
    14. Charles I. Jones, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(2), pages 495-525.
    15. Ana Balcão Reis & Tiago Neves Sequeira, 2007. "Human Capital and Overinvestment in R&D," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(3), pages 573-591, September.
    16. Iacopetta, Maurizio, 2010. "Phases of economic development and the transitional dynamics of an innovation-education growth model," European Economic Review, Elsevier, vol. 54(2), pages 317-330, February.
    17. Arnold, Lutz G., 2000. "Stability of the Market Equilibrium in Romer's Model of Endogenous Technological Change: A Complete Characterization," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 69-84, January.
    18. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    19. Sequeira, Tiago Neves, 2011. "R&D Spillovers In An Endogenous Growth Model With Physical Capital, Human Capital, And Varieties," Macroeconomic Dynamics, Cambridge University Press, vol. 15(2), pages 223-239, April.
    20. Iacopetta, Maurizio, 2011. "Formal education and public knowledge," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 676-693, May.
    21. Jones, Charles I, 1995. "R&D-Based Models of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 759-784, August.
    22. Alvarez-Pelaez, Maria J. & Groth, Christian, 2005. "Too little or too much R&D?," European Economic Review, Elsevier, vol. 49(2), pages 437-456, February.
    23. Benassy, Jean-Pascal, 1996. "Monopolistic competition, increasing returns to specialization and output persistence," Economics Letters, Elsevier, vol. 52(2), pages 187-191, August.
    24. Henri L. F. de Groot & Richard Nahuis, 2002. "Optimal Product Variety and Economic Growth: The Trade-off between Internal and External Economies of Scale," Journal of Economics, Springer, vol. 76(1), pages 1-32, May.
    25. de Groot, Henri L. F. & Nahuis, Richard, 1998. "Taste for diversity and the optimality of economic growth," Economics Letters, Elsevier, vol. 58(3), pages 291-295, March.
    26. Lutz G. Arnold, 2006. "The Dynamics of the Jones R&D Growth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 143-152, January.
    27. Arnold, Lutz G., 2000. "Endogenous growth with physical capital, human capital and product variety: A comment," European Economic Review, Elsevier, vol. 44(8), pages 1599-1605, August.
    28. Manoj Atolia & Edward F. Buffie, 2004. "Reverse Shooting Made Easy: Solving for the Global Nonlinear Saddle Path," Working Papers wp2009_01_01, Department of Economics, Florida State University, revised Jan 2009.
    29. Eicher, Theo S & Turnovsky, Stephen J, 1999. "Convergence in a Two-Sector Nonscale Growth Model," Journal of Economic Growth, Springer, vol. 4(4), pages 413-428, December.
    30. Kim, Jinill, 2004. "What determines aggregate returns to scale?," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1577-1594, June.
    31. Javier Coto-Martínez & Carlos Garriga & Fernando Sánchez-Losada, 2007. "Optimal Taxation with Imperfect Competition and Aggregate Returns to Specialization," Journal of the European Economic Association, MIT Press, vol. 5(6), pages 1269-1299, December.
    32. Ethier, Wilfred J, 1982. "National and International Returns to Scale in the Modern Theory of International Trade," American Economic Review, American Economic Association, vol. 72(3), pages 389-405, June.
    33. Steger Thomas M., 2005. "Non-Scale Models of R&D-based Growth: The Market Solution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-30, February.
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    Cited by:

    1. Tiago Sequeira, 2012. "Facts and distortions in an endogenous growth model with physical capital, human capital and varieties," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 11(3), pages 171-188, December.

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