In this paper, we develop a simple multi-technology overlapping generations model that exhibits a wide variety of economic development patterns. In particular, our numerical simulations demonstrate that for a given set of parameter values, various types of development patterns such as the middle-income trap, the poverty trap, periodic or chaotic fluctuations, and high-income paths can coexist, and which pattern is realized depends only on the initial value of capital. For another set of parameter values, we show that, due to the pinball effect, an economy starting at a middle-income level can take off to the high-income state or get caught in the poverty trap in a seemingly random way after undergoing transient chaotic motions. Our results can explain observed complicated patterns of economic development in a unified manner.
Funding source: Kyoto University, Institute of Economic Research
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 17K03806
Award Identifier / Grant number: 20H01507
Award Identifier / Grant number: 20H05631
Award Identifier / Grant number: 20K01745
Award Identifier / Grant number: 21K01388
The authors would like to thank Prof. Yoshiyasu Ono, seminar participants at Osaka University and an anonymous referee for their helpful comments. We also thank Dr. Satoko Asano for her assistance.
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: This research was financially supported by International Joint Research Center of Advanced Economic Research of KIER and the Grants-in-Aid for Scientific Research, JSPS (17K03806, 20H05631, 20K01745, 20H01507, and 21K01388).
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
Aghion, P., A. Banerjee, and T. Piketty. 1999. “Dualism and Macroeconomic Volatility.” Quarterly Journal of Economics 114 (4): 1359–97. https://doi.org/10.1162/003355399556296.Search in Google Scholar
Akamatsu, K. 1962. “A Historical Pattern of Economic Growth in Developing Countries.” The Developing Economies 1: 3–25. https://doi.org/10.1111/j.1746-1049.1962.tb01020.x.Search in Google Scholar
Andreoni, A., and F. Tregenna. 2020. “Escaping the Middle-Income Technology Trap: A Comparative Analysis of Industrial Policies in China, Brazil and South Africa.” Structural Change and Economic Dynamics 54: 324–40. https://doi.org/10.1016/j.strueco.2020.05.008.Search in Google Scholar
Andrianjaka, R. R., and E. Rougier. 2019. ““What Difference Does it Make (To Be in the Middle Income Trap)?” An Empirical Exploration of the Drivers of Growth Slowdowns.” Structural Change and Economic Dynamics 51: 225–36. https://doi.org/10.1016/j.strueco.2019.08.001.Search in Google Scholar
Asano, T., and M. Yokoo. 2019. “Chaotic Dynamics of a Piecewise Linear Model of Credit Cycles.” Journal of Mathematical Economics 80: 9–21. https://doi.org/10.1016/j.jmateco.2018.11.001.Search in Google Scholar
Asano, T., T. Kunieda, and A. Shibata. 2012. “Complex Behaviour in a Piecewise Linear Dynamic Macroeconomic Model with Endogenous Discontinuity.” Journal of Difference Equations and Applications 18 (11): 1889–98. https://doi.org/10.1080/10236198.2011.601301.Search in Google Scholar
Azariadis, C., and J. Stachurski. 2005. “Poverty Traps.” In Handbook of Economic Growth, vol. 1, edited by P. Aghion, and S. N. Durlauf, 295–384. Amsterdam: Elsevier.10.1016/S1574-0684(05)01005-1Search in Google Scholar
Bresser-Pereira, L. C., E. C. Araújo, and S. C. Peres. 2020. “An Alternative to the Middle-Income Trap.” Structural Change and Economic Dynamics 52: 294–312. https://doi.org/10.1016/j.strueco.2019.11.007.Search in Google Scholar
de la Croix, D., and P. Michel. 2002. A Theory of Economic Growth: Dynamics and Policy in Overlapping Generations. Cambridge: Cambridge University Press.10.1017/CBO9780511606434Search in Google Scholar
Feenstra, R. C., Robert Inklaar, and M. P. Timmer. 2015. “The Next Generation of the Penn World Table.” The American Economic Review 105 (10): 3150–82. https://doi.org/10.1257/aer.20130954.Search in Google Scholar
Gori, L., and M. Sodini. 2020. “Endogenous Labour Supply, Endogenous Lifetime and Economic Development.” Structural Change and Economic Dynamics 52: 238–59. https://doi.org/10.1016/j.strueco.2019.11.006.Search in Google Scholar
Gori, L., and M. Sodini. 2021. “A Contribution to the Theory of Fertility and Economic Development.” Macroeconomic Dynamics 25: 753–75. https://doi.org/10.1017/s1365100519000415.Search in Google Scholar
Hartmann, D., L. Zagato, P. Gala, and F. L. Pinheiro. 2021. “Why Did Some Countries Catch-Up, while Others Got Stuck in the Middle? Stages of Productive Sophistication and Smart Industrial Policies.” Structural Change and Economic Dynamics 58: 1–13. https://doi.org/10.1016/j.strueco.2021.04.007.Search in Google Scholar
Ishida, J., and M. Yokoo. 2004. “Threshold Nonlinearities and Asymmetric Endogenous Business Cycles.” Journal of Economic Behavior & Organization 54 (2): 175–89. https://doi.org/10.1016/j.jebo.2003.04.006.Search in Google Scholar
Iwaisako, T. 2002. “Technology Choice and Patterns of Growth in an Overlapping Generations Model.” Journal of Macroeconomics 24 (2): 211–31. https://doi.org/10.1016/s0164-0704(02)00020-4.Search in Google Scholar
Kane, T. 2016. “Accelerating Convergence in the World Income Distribution.” In Hoover Institution Economics Working Paper 16102.Search in Google Scholar
Keener, J. P 1980. “Chaotic Behavior in Piecewise Continuous Difference Equations.” Transactions of the American Mathematical Society 261 (2): 589–604. https://doi.org/10.1090/s0002-9947-1980-0580905-3.Search in Google Scholar
Matsuoka, T., and A. Shibata. 2012. “Asset Bubbles, Credit Market Imperfections, and Technology Choice.” Economics Letters 116 (1): 52–5. https://doi.org/10.1016/j.econlet.2012.01.009.Search in Google Scholar
Matsuyama, K., I. Sushko, and L. Gardini. 2018. “A Piecewise Linear Model of Credit Traps and Credit Cycles: a Complete Characterization.” Decisions in Economics and Finance 41 (2): 119–43. https://doi.org/10.1007/s10203-018-0220-5.Search in Google Scholar
Oreiro, J. L., K. M. da Silva, and M. J. Dávila-Fernández. 2020. “A New Developmentalist Model of Structural Change, Economic Growth and Middle-Income Traps.” Structural Change and Economic Dynamics 55: 26–38. https://doi.org/10.1016/j.strueco.2020.07.008.Search in Google Scholar
Umezuki, Y., and M. Yokoo. 2019a. “A Simple Model of Growth Cycles with Technology Choice.” Journal of Economic Dynamics and Control 100: 164–75. https://doi.org/10.1016/j.jedc.2018.11.006.Search in Google Scholar
Umezuki, Y., and M. Yokoo. 2019b. “Chaotic Dynamics of a Piecewise Smooth Overlapping Generations Model with a Multitude of Technologies.” In Okayama University Discussion Paper No. I-103.Search in Google Scholar
Yokoo, M. 2000. “Chaotic Dynamics in a Two-Dimensional Overlapping Generations Model.” Journal of Economic Dynamics and Control 24 (5–7): 909–34. https://doi.org/10.1016/s0165-1889(99)00030-5.Search in Google Scholar
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