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Empirical evidence on the topological properties of structural paths and some notes on its theoretical explanation

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  • Stijepic, Denis

Abstract

The mathematical literature has developed a large pool of topological concepts and theorems for dynamic systems analysis. The aim of our paper is to make a first step towards the application of these concepts and theorems in the analysis of (long-run) structural change (in the three-sector framework). Our approach focuses on two of the most basic topological notions, namely intersection and self-intersection of trajectories on a two-dimensional domain. We discuss the mathematical foundations of the application of these concepts in structural change analysis, use them for analyzing empirical data, and elaborate new stylized facts stating that different countries’ structural change trajectories are (non-self-)intersecting. Finally, we discuss briefly the theoretical explanations of (non-self-)intersection and a wide range of new research topics relating to (a) the topological classification and comparison of models and evidence and (b) the application of (further) topological concepts in standard branches of growth and development theory.

Suggested Citation

  • Stijepic, Denis, 2016. "Empirical evidence on the topological properties of structural paths and some notes on its theoretical explanation," MPRA Paper 82473, University Library of Munich, Germany, revised 26 Oct 2017.
    • Handle: RePEc:pra:mprapa:82473
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    1. Silva, Ester G. & Teixeira, Aurora A.C., 2008. "Surveying structural change: Seminal contributions and a bibliometric account," Structural Change and Economic Dynamics, Elsevier, vol. 19(4), pages 273-300, December.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. Meckl, Jürgen, 1999. "Structural change and generalized balanced growth," Discussion Papers, Series I 298, University of Konstanz, Department of Economics.
    4. Timo Boppart, 2014. "Structural Change and the Kaldor Facts in a Growth Model With Relative Price Effects and Non‐Gorman Preferences," Econometrica, Econometric Society, vol. 82, pages 2167-2196, November.
    5. Foellmi, Reto & Zweimüller, Josef, 2008. "Structural change, Engel's consumption cycles and Kaldor's facts of economic growth," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1317-1328, October.
    6. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    7. Mr. Sergio Rebelo & Ms. Piyabha Kongsamut & Danyang Xie, 2001. "Beyond Balanced Growth," IMF Working Papers 2001/085, International Monetary Fund.
    8. L. Rachel Ngai & Christopher A. Pissarides, 2007. "Structural Change in a Multisector Model of Growth," American Economic Review, American Economic Association, vol. 97(1), pages 429-443, March.
    9. Daron Acemoglu & Veronica Guerrieri, 2008. "Capital Deepening and Nonbalanced Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 467-498, June.
    10. Maddison, Angus, 2007. "Contours of the World Economy 1-2030 AD: Essays in Macro-Economic History," OUP Catalogue, Oxford University Press, number 9780199227204.
    11. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    12. Denis Stijepic, 2017. "An argument against Cobb-Douglas production functions (in multi-sector growth modeling)," Economics Bulletin, AccessEcon, vol. 37(2), pages 1143-1150.
    13. Herrendorf, Berthold & Rogerson, Richard & Valentinyi, Ákos, 2014. "Growth and Structural Transformation," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 6, pages 855-941, Elsevier.
    14. Stijepic, Denis, 2017. "On development paths minimizing the structural change costs in the three-sector framework and an application to structural policy," MPRA Paper 77023, University Library of Munich, Germany, revised 22 Feb 2017.
    15. Jaume Ventura & Francesco Caselli, 2000. "A Representative Consumer Theory of Distribution," American Economic Review, American Economic Association, vol. 90(4), pages 909-926, September.
    16. Stijepic, Denis, 2015. "A geometrical approach to structural change modelling," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 71-85.
    17. Schettkat, Ronald & Yocarini, Lara, 2006. "The shift to services employment: A review of the literature," Structural Change and Economic Dynamics, Elsevier, vol. 17(2), pages 127-147, June.
    18. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    19. Stijepic, Denis, 2017. "Empirical evidence on the geometrical properties of structural change trajectories," MPRA Paper 80854, University Library of Munich, Germany, revised 17 Aug 2017.
    20. Stijepic, Denis, 2017. "On the predictability of economic structural change by the Poincaré-Bendixson theory," MPRA Paper 80849, University Library of Munich, Germany, revised 17 Aug 2017.
    21. Tjalling C. Koopmans, 1967. "Intertemporal Distribution and 'Optimal' Aggregate Economic Growth," Cowles Foundation Discussion Papers 228, Cowles Foundation for Research in Economics, Yale University.
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    1. Stijepic, Denis, 2018. "Models of Continuous Dynamics on the 2-Simplex and Applications in Economics," MPRA Paper 86341, University Library of Munich, Germany.

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    More about this item

    Keywords

    structural change; labor; allocation; savings; functional income distribution; long run; dynamics; trajectory; intersection; self-intersection; differential equations; geometry; topology;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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