Papers
Topics
Authors
Recent
Search
2000 character limit reached

Compositional Growth Models

Published 11 Apr 2024 in econ.GN, physics.soc-ph, and q-fin.EC | (2404.07935v1)

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.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (27)
  1. A balls-and-bins model of trade. American Economic Review, 104(7):2127–2151.
  2. Supervised learning for the prediction of firm dynamics. In Data Science for Economics and Finance: Methodologies and Applications, pages 19–41. Springer International Publishing Cham.
  3. The origins of firm heterogeneity: A production network approach. Journal of Political Economy, 130(7):1765–1804.
  4. Global firms. Journal of Economic Literature, 56(2):565–619.
  5. On the laplace distribution of firm growth rates. LEM Working Paper Series 2002/20, Pisa.
  6. The growth of business firms: Facts and theory. Journal of the European Economic Association, 5(2–3):574–584.
  7. The rise and fall of business firms: A stochastic framework on innovation, creative destruction and growth. Cambridge University Press.
  8. The growth of business firms: Theoretical framework and empirical evidence. Proceedings of the National Academy of Sciences, 102(52):18801–18806.
  9. Gabaix, X. (2011). The granular origins of aggregate fluctuations. Econometrica, 79(3):733–772.
  10. Gibrat, R. (1931). Les inégalités économiques: applications aux inégalités des richesses, à la concentration des entreprises… d’une loi nouvelle, la loi de l’effet proportionnel. Libr. du Recueil Sirey.
  11. Quantifying the sources of firm heterogeneity. The Quarterly Journal of Economics, 131(3):1291–1364.
  12. Skew distributions and the sizes of business firms, volume 24. North-Holland.
  13. Innovating firms and aggregate innovation. Journal of political economy, 112(5):986–1018.
  14. Quantification of the evolution of firm size distributions due to mergers and acquisitions. PLOS ONE, 12(8):e0183627.
  15. Revisiting granular models of firm growth. Forthcoming.
  16. Revealing production networks from firm growth dynamics.
  17. The size variance relationship of business firm growth rates. Proceedings of the National Academy of Sciences, 105(50):19595–19600.
  18. Robinson, J. (1953). Imperfect competition revisited. The Economic Journal, 63(251):579–593.
  19. The cause of universality in growth fluctuations.
  20. Simon, H. A. (1962). The architecture of complexity. Proceedings of the American philosophical society, 106(6):467–482.
  21. Scaling behaviour in the growth of companies. Nature, 379(6568):804–806.
  22. Sutton, J. (1997). Gibrat’s legacy. Journal of economic literature, 35(1):40–59.
  23. Sutton, J. (2001). Technology and market structure: theory and history. MIT press.
  24. Sutton, J. (2002). The variance of firm growth rates: the ‘scaling’ puzzle. Physica A: Statistical Mechanics and its Applications, 312(3–4):577–590.
  25. Sutton, J. (2007). Market share dynamics and the “persistence of leadership” debate. American Economic Review, 97(1):222–241.
  26. Statistical models for company growth. Physica A: Statistical Mechanics and its Applications, 326(1-2):241–255.
  27. Preferential attachment and growth dynamics in complex systems. Physical Review E, 74(3):035103.
Citations (1)

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Authors (2)

Collections

Sign up for free to add this paper to one or more collections.

Tweets

Sign up for free to view the 4 tweets with 2 likes about this paper.