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Endogenous Growth and Entropy

Author

Listed:
  • Tiago Neves Sequeira

    (Universidade da Beira Interior and CEFAGE-UBI)

  • Pedro Mazeda Gil

    (cef.up, FEP, Universidade do Porto)

  • Óscar Afonso

    (cef.up and FEP, Universidade do Porto, and CEFAGE-UBI)

Abstract
This paper offers novel insights regarding the role of complexity in both the transitional and the long-run dynamics of the economy. We devise an endogenous growth model using the concept of entropy as a state-dependent complexity effect. This allows us to gradually diminish scale effects as the economy develops along the transitional dynamics, which conciliates evidence on the existence of scale effects in history with evidence of no or reduced scale effects in today’s economies. We show that empirical evidence supports entropy as a “first principle” operator of the complexity effect. The model features endogenous growth, with null or small (positive or negative) scale effects, or stagnation, in the long run. These different long-run possibilities have also policy implications. Then, we show that the model can replicate well the take-off after the industrial revolution and the productivity slowdown in the second half of the XXth century. Future scenarios based on in-sample calibration are discussed, and may help to explain (part of) the growth crises affecting the current generation.

Suggested Citation

  • Tiago Neves Sequeira & Pedro Mazeda Gil & Óscar Afonso, 2018. "Endogenous Growth and Entropy," CEF.UP Working Papers 1804, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:cetedp:1804
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    1. Dinopoulos, Elias & Thompson, Peter, 2000. "Endogenous growth in a cross-section of countries," Journal of International Economics, Elsevier, vol. 51(2), pages 335-362, August.
    2. Sokoloff, Kenneth L., 1988. "Inventive Activity in Early Industrial America: Evidence From Patent Records, 1790–1846," The Journal of Economic History, Cambridge University Press, vol. 48(4), pages 813-850, December.
    3. Oded Galor & Omer Moav, 2002. "Natural Selection and the Origin of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1133-1191.
    4. Nicholas Bloom & Charles I. Jones & John Van Reenen & Michael Webb, 2020. "Are Ideas Getting Harder to Find?," American Economic Review, American Economic Association, vol. 110(4), pages 1104-1144, April.
    5. Miguel A León-Ledesma & Mathan Satchi, 2019. "Appropriate Technology and Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 807-835.
    6. Holger Strulik & Klaus Prettner & Alexia Prskawetz, 2013. "The past and future of knowledge-based growth," Journal of Economic Growth, Springer, vol. 18(4), pages 411-437, December.
    7. Komlos John, 2016. "Has Creative Destruction become more Destructive?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 16(4), pages 1-12, October.
    8. Cesar A. Hidalgo & Ricardo Hausmann, 2009. "The Building Blocks of Economic Complexity," Papers 0909.3890, arXiv.org.
    9. Peretto, Pietro F., 2015. "From Smith to Schumpeter: A theory of take-off and convergence to sustained growth," European Economic Review, Elsevier, vol. 78(C), pages 1-26.
    10. Mokyr, Joel, 2005. "Long-Term Economic Growth and the History of Technology," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 17, pages 1113-1180, Elsevier.
    11. 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.
    12. Gregory Clark, 2010. "The macroeconomic aggregates for England, 1209–2008," Research in Economic History, in: Research in Economic History, pages 51-140, Emerald Group Publishing Limited.
    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. Coe, David T. & Helpman, Elhanan & Hoffmaister, Alexander W., 2009. "International R&D spillovers and institutions," European Economic Review, Elsevier, vol. 53(7), pages 723-741, October.
    15. Scott L. Baier & Gerald P. Dwyer & Robert Tamura, 2006. "How Important are Capital and Total Factor Productivity for Economic Growth?," Economic Inquiry, Western Economic Association International, vol. 44(1), pages 23-49, January.
    16. Hall, Bronwyn H. & Mairesse, Jacques & Mohnen, Pierre, 2010. "Measuring the Returns to R&D," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 2, chapter 0, pages 1033-1082, Elsevier.
    17. Charles I. Jones, 2002. "Sources of U.S. Economic Growth in a World of Ideas," American Economic Review, American Economic Association, vol. 92(1), pages 220-239, March.
    18. Bucci, Alberto & Carbonari, Lorenzo & Trovato, Giovanni, 2021. "Variety, Competition, And Population In Economic Growth: Theory And Empirics," Macroeconomic Dynamics, Cambridge University Press, vol. 25(5), pages 1303-1330, July.
    19. John G. Fernald, 2015. "Productivity and Potential Output before, during, and after the Great Recession," NBER Macroeconomics Annual, University of Chicago Press, vol. 29(1), pages 1-51.
    20. 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.
    21. 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.
    22. Laura Bottazzi & Giovanni Peri, 2007. "The International Dynamics of R&D and Innovation in the Long Run and in The Short Run," Economic Journal, Royal Economic Society, vol. 117(518), pages 486-511, March.
    23. Magalhães, Manuela & Afonso, Óscar, 2017. "A multi-sector growth model with technology diffusion and networks," Research Policy, Elsevier, vol. 46(7), pages 1340-1359.
    24. Jutta Bolt & Jan Luiten Zanden, 2014. "The Maddison Project: collaborative research on historical national accounts," Economic History Review, Economic History Society, vol. 67(3), pages 627-651, August.
    25. Ciccone, Antonio & Matsuyama, Kiminori, 1996. "Start-up costs and pecuniary externalities as barriers to economic development," Journal of Development Economics, Elsevier, vol. 49(1), pages 33-59, April.
    26. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    27. Growiec, Jakub, 2015. "On the modeling of size distributions when technologies are complex," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 1-8.
    28. Michael Elsby & Bart Hobijn & Ayseful Sahin, 2013. "The Decline of the U.S. Labor Share," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 44(2 (Fall)), pages 1-63.
    29. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    30. Ang, James B. & Madsen, Jakob B., 2015. "What Drives Ideas Production Across The World?," Macroeconomic Dynamics, Cambridge University Press, vol. 19(1), pages 79-115, January.
    31. Gregory Clark, 2009. "The Macroeconomic Aggregates for England, 1209-2008," Working Papers 919, University of California, Davis, Department of Economics.
    32. Park, Joon Y & Phillips, Peter C B, 2001. "Nonlinear Regressions with Integrated Time Series," Econometrica, Econometric Society, vol. 69(1), pages 117-161, January.
    33. Ugur, Mehmet & Trushin, Eshref & Solomon, Edna & Guidi, Francesco, 2016. "R&D and productivity in OECD firms and industries: A hierarchical meta-regression analysis," Research Policy, Elsevier, vol. 45(10), pages 2069-2086.
    34. Carl‐Johan Dalgaard & Claus Thustrup Kreiner, 2003. "Endogenous Growth: A Knife Edge or the Razor's Edge?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(1), pages 73-86, March.
    35. Alesina, Alberto & Spolaore, Enrico & Wacziarg, Romain, 2005. "Trade, Growth and the Size of Countries," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 23, pages 1499-1542, Elsevier.
    36. Benassy, Jean-Pascal, 1996. "Taste for variety and optimum production patterns in monopolistic competition," Economics Letters, Elsevier, vol. 52(1), pages 41-47, July.
    37. Alessandro Iaria & Carlo Schwarz & Fabian Waldinger, 2018. "Frontier Knowledge and Scientific Production: Evidence from the Collapse of International Science," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(2), pages 927-991.
    38. Pietro Peretto & Sjak Smulders, 2002. "Technological Distance, Growth And Scale Effects," Economic Journal, Royal Economic Society, vol. 112(481), pages 603-624, July.
    39. Maddison, Angus, 2007. "Contours of the World Economy 1-2030 AD: Essays in Macro-Economic History," OUP Catalogue, Oxford University Press, number 9780199227204.
    40. Segerstrom, Paul S, 1998. "Endogenous Growth without Scale Effects," American Economic Review, American Economic Association, vol. 88(5), pages 1290-1310, December.
    41. 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.
    42. Brinca, P. & Chari, V.V. & Kehoe, P.J. & McGrattan, E., 2016. "Accounting for Business Cycles," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1013-1063, Elsevier.
    43. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
    44. Elias Dinopoulos & Peter Thompson, 1999. "Scale effects in Schumpeterian models of economic growth," Journal of Evolutionary Economics, Springer, vol. 9(2), pages 157-185.
    45. Joonkyung Ha & Peter Howitt, 2007. "Accounting for Trends in Productivity and R&D: A Schumpeterian Critique of Semi-Endogenous Growth Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 733-774, June.
    46. F. A. Lutz, 1961. "The Theory of Capital," International Economic Association Series, Palgrave Macmillan, number 978-1-349-08452-4 edited by D. C. Hague, December.
    47. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    48. Michael Kremer, 1993. "Population Growth and Technological Change: One Million B.C. to 1990," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 681-716.
    49. Paul Segerstrom & Elias Dinopoulos, 1999. "A Schumpeterian Model of Protection and Relative Wages," American Economic Review, American Economic Association, vol. 89(3), pages 450-472, June.
    50. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    51. Alberto Bucci, 2015. "Product Proliferation, Population, and Economic Growth," Journal of Human Capital, University of Chicago Press, vol. 9(2), pages 170-197.
    52. Davis, Lewis S., 2008. "Scale effects in growth: A role for institutions," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 403-419, May.
    53. Dinopoulos, Elias & Thompson, Peter, 1998. "Schumpeterian Growth without Scale Effects," Journal of Economic Growth, Springer, vol. 3(4), pages 313-335, December.
    54. Choi, In & Saikkonen, Pentti, 2010. "Tests For Nonlinear Cointegration," Econometric Theory, Cambridge University Press, vol. 26(3), pages 682-709, June.
    55. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    More about this item

    Keywords

    endogenous economic growth; complexity effects; entropy.;
    All these keywords.

    JEL classification:

    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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