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Compositional Growth Models

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  • Jos'e Moran
  • Massimo Riccaboni

Abstract

We review models of compositional growth, which were introduced to explain the growth statistics of various quantities ranging from firm sizes to GDP. In these models, entities are decomposed into units that grow independently. Thus, the growth rate of the entity is the addition of the growth rates of the composing units, with possibly heterogeneous weights. We review such models and show that they can be understood through a unifying theoretical framework, explaining the resulting growth rate distributions using mixtures of Gaussians.

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  • Jos'e Moran & Massimo Riccaboni, 2024. "Compositional Growth Models," Papers 2404.07935, arXiv.org.
    • Handle: RePEc:arx:papers:2404.07935
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    References listed on IDEAS

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    1. Sergey V. Buldyrev & Jakub Growiec & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2007. "The Growth of Business Firms: Facts and Theory," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 574-584, 04-05.
    2. Andrew B. Bernard & Emmanuel Dhyne & Glenn Magerman & Kalina Manova & Andreas Moxnes, 2022. "The Origins of Firm Heterogeneity: A Production Network Approach," Journal of Political Economy, University of Chicago Press, vol. 130(7), pages 1765-1804.
    3. Roc Armenter & Mikl?s Koren, 2014. "A Balls-and-Bins Model of Trade," American Economic Review, American Economic Association, vol. 104(7), pages 2127-2151, July.
    4. Yamasaki, Kazuko & Matia, Kaushik & Buldyrev, Sergey V. & Fu, Dongfeng & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2004. "Preferential attachment and growth dynamics in complex systems," MPRA Paper 15908, University Library of Munich, Germany, revised 06 Feb 2006.
    5. Colin J. Hottman & Stephen J. Redding & David E. Weinstein, 2016. "Quantifying the Sources of Firm Heterogeneity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1291-1364.
    6. John Sutton, 2001. "Technology and Market Structure: Theory and History," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262692643, April.
    7. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    8. John Sutton, 2007. "Market Share Dynamics and the "Persistence of Leadership" Debate," American Economic Review, American Economic Association, vol. 97(1), pages 222-241, March.
    9. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    10. Mungo, Luca & Moran, José, 2023. "Revealing production networks from firm growth dynamics," INET Oxford Working Papers 2023-02, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
    11. Luca Mungo & Jos'e Moran, 2023. "Revealing production networks from firm growth dynamics," Papers 2302.09906, arXiv.org, revised Jul 2023.
    12. Sandro Claudio Lera & Didier Sornette, 2017. "Quantification of the evolution of firm size distributions due to mergers and acquisitions," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-16, August.
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