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Do Pareto–Zipf and Gibrat laws hold true? An analysis with European firms

Citations

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Cited by:

  1. Masashi Tomoyose & Shouji Fujimoto & Atushi Ishikawa, 2008. "Non-Gibrat's law in the middle scale region," Papers 0809.3060, arXiv.org.
  2. Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno, 2019. "Statistical law observed in inactive rate of firms," Evolutionary and Institutional Economics Review, Springer, vol. 16(1), pages 201-212, June.
  3. Gallegati, Mauro & Kirman, Alan, 2019. "20 years of WEHIA: A journey in search of a safer road," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 5-14.
  4. Cirillo, Pasquale & Hüsler, Jürg, 2009. "On the upper tail of Italian firms’ size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1546-1554.
  5. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, December.
  6. Giuseppe Toscani, 2016. "Kinetic and mean field description of Gibrat's law," Papers 1606.04796, arXiv.org.
  7. Alfaro, Martín, 2020. "Market structures in small open economies: Evidence from Denmark," Research in Economics, Elsevier, vol. 74(4), pages 363-378.
  8. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
  9. Petra Štamfestová & Lukáš Sobíšek & Jiří Hnilica, 2023. "Firm Size Distribution in the Central European Context," Central European Business Review, Prague University of Economics and Business, vol. 2023(5), pages 151-175.
  10. Yuichi Ikeda & Hideaki Aoyama & Hiroshi Iyetomi & Yoshi Fujiwara & Wataru Souma, 2008. "Correlated performance of firms in a transaction network," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(1), pages 73-80, June.
  11. Wright, Ian, 2005. "The social architecture of capitalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 589-620.
  12. Ying Fan & Menghui Li & Zengru Di, 2004. "Increasing Returns to Scale, Dynamics of Industrial Structure and Size Distribution of Firms," Papers cond-mat/0407383, arXiv.org.
  13. Ikeda, Yuichi & Souma, Wataru & Aoyama, Hideaki & Iyetomi, Hiroshi & Fujiwara, Yoshi & Kaizoji, Taisei, 2007. "Quantitative agent-based firm dynamics simulation with parameters estimated by financial and transaction data analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 651-667.
  14. John Pencavel, 2014. "The Changing Size Distribution of U.S. Trade Unions and its Description by Pareto's Distribution," ILR Review, Cornell University, ILR School, vol. 67(1), pages 138-170, January.
  15. Mizuno, Takayuki & Ishikawa, Atushi & Fujimoto, Shouji & Watanabe, Tsutomu, 2011. "Power Laws in Firm Productivity," Working Paper Series 11, Center for Interfirm Network, Institute of Economic Research, Hitotsubashi University.
  16. Kyungsik Kim & S. -M. Yoon & C. Christopher Lee & K. H. Chang, 2004. "Zipf's Law Distributions for Korean Stock Prices," Papers cond-mat/0405390, arXiv.org.
  17. Hongduo Cao & Ying Li & Yong Tan, 2014. "The synchronization club: classification of global economic groups by inequality," Applied Economics, Taylor & Francis Journals, vol. 46(21), pages 2502-2510, July.
  18. Gatti, Domenico Delli & Guilmi, Corrado Di & Gaffeo, Edoardo & Giulioni, Gianfranco & Gallegati, Mauro & Palestrini, Antonio, 2005. "A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 489-512, April.
  19. Ishikawa, Atushi & Fujimoto, Shouji & Mizuno, Takayuki, 2011. "Shape of growth-rate distribution determines the type of Non-Gibrat’s Property," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4273-4285.
  20. Fujiwara, Yoshi & Aoyama, Hideaki & Di Guilmi, Corrado & Souma, Wataru & Gallegati, Mauro, 2004. "Gibrat and Pareto–Zipf revisited with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 112-116.
  21. Giulio Bottazzi & Davide Pirino & Federico Tamagni, 2015. "Zipf law and the firm size distribution: a critical discussion of popular estimators," Journal of Evolutionary Economics, Springer, vol. 25(3), pages 585-610, July.
  22. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
  23. Michel Alexandre & Gilberto Tadeu Lima, 2019. "Macroeconomic Impacts of Trade Credit: An Agent-Based Modeling Exploration," Working Papers, Department of Economics 2019_31, University of São Paulo (FEA-USP).
  24. Andrew T. Balthrop, 2021. "Gibrat’s law in the trucking industry," Empirical Economics, Springer, vol. 61(1), pages 339-354, July.
  25. Dahui, Wang & Li, Zhou & Zengru, Di, 2006. "Bipartite producer–consumer networks and the size distribution of firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 359-366.
  26. Segarra, Agustí & Teruel, Mercedes, 2012. "An appraisal of firm size distribution: Does sample size matter?," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 314-328.
  27. Lyócsa, Štefan & Výrost, Tomáš, 2018. "Scale-free distribution of firm-size distribution in emerging economies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 501-505.
  28. Ikeda, Yuichi & Aoyama, Hideaki & Iyetomi, Hiroshi & Fujiwara, Yoshi & Souma, Wataru & Kaizoji, Taisei, 2007. "Response of firm agent network to exogenous shock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 138-148.
  29. Gatti, Domenico Delli & Di Guilmi, Corrado & Gallegati, Mauro & Giulioni, Gianfranco, 2007. "Financial Fragility, Industrial Dynamics, And Business Fluctuations In An Agent-Based Model," Macroeconomic Dynamics, Cambridge University Press, vol. 11(S1), pages 62-79, November.
  30. Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno, 2021. "Why does production function take the Cobb–Douglas form?," Evolutionary and Institutional Economics Review, Springer, vol. 18(1), pages 79-102, April.
  31. Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno & Tsutomu Watanabe, 2016. "Long-term firm growth properties derived from short-term laws of sales and number of employees in Japan and France," Evolutionary and Institutional Economics Review, Springer, vol. 13(2), pages 409-422, December.
  32. Yanagita, Tatsuo & Onozaki, Tamotsu, 2010. "Dynamics of market structure driven by the degree of consumer’s rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1041-1054.
  33. Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-27.
  34. Hideaki Aoyama & Yoshi Fujiwara & Yuichi Ikeda & Hiroshi Iyetomi & Wataru Souma, 2010. "Econophysics on Real Economy -The First Decade of the Kyoto Econophysics Group-," Papers 1006.5587, arXiv.org, revised Jul 2010.
  35. Bai, Chong-En & Mao, Jie & Zhang, Qiong, 2014. "Measuring market concentration in China: the problem with using censored data and its rectification," China Economic Review, Elsevier, vol. 30(C), pages 432-447.
  36. Massing, Till & Puente-Ajovín, Miguel & Ramos, Arturo, 2020. "On the parametric description of log-growth rates of cities’ sizes of four European countries and the USA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
  37. Aktaev, Nurken E. & Bannova, K.A., 2022. "Mathematical modeling of probability distribution of money by means of potential formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).
  38. Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2006. "Institutional Investors and Stock Market Volatility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 461-504.
  39. Gao, Baojun & Chan, Wai Kin (Victor) & Li, Hongyi, 2015. "On the increasing inequality in size distribution of China's listed companies," China Economic Review, Elsevier, vol. 36(C), pages 25-41.
  40. Fujimoto, S. & Ishikawa, A. & Mizuno, T. & Watanabe, T. & 渡辺, 努 & ワタナベ, ツトム, 2011. "A New Method for Measuring Tail Exponents of Firm Size Distributions," Working Paper Series 7, Center for Interfirm Network, Institute of Economic Research, Hitotsubashi University.
  41. Atushi Ishikawa & Takayuki Mizuno & Shouji Fujimoto, 2022. "Employee Number Dependence in Labor Productivity Distribution," The Review of Socionetwork Strategies, Springer, vol. 16(2), pages 465-477, October.
  42. Ishikawa, Atushi, 2009. "Power-Law and Log-Normal Distributions in Temporal Changes of Firm-Size Variables," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-25.
  43. Dion R J O’Neale & Shaun C Hendy, 2012. "Power Law Distributions of Patents as Indicators of Innovation," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-9, December.
  44. Gerrit de Wit, 2005. "Zipf's Law in Economics," Scales Research Reports N200503, EIM Business and Policy Research.
  45. Hegyi, Géza & Néda, Zoltán & Augusta Santos, Maria, 2007. "Wealth distribution and Pareto's law in the Hungarian medieval society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 271-277.
  46. Ishikawa, Atushi, 2006. "Pareto index induced from the scale of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 367-376.
  47. Kitt, Robert & Kalda, Jaan, 2005. "Scaling analysis of multi-variate intermittent time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 480-492.
  48. Sarabia, José María & Prieto, Faustino, 2009. "The Pareto-positive stable distribution: A new descriptive model for city size data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4179-4191.
  49. Watanabe, Hayafumi & Takayasu, Hideki & Takayasu, Misako, 2013. "Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 741-756.
  50. Băncescu, Irina & Chivu, Luminiţa & Massing, Till & Preda, Vasile & Puente-Ajovín, Miguel & Ramos, Arturo, 2024. "On the parametric description of log-growth rates of Romanian city sizes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
  51. Shouji Fujimoto & Atushi Ishikawa & Takayuki Mizuno, 2022. "Copula-Based Synthetic Data Generation in Firm-Size Variables," The Review of Socionetwork Strategies, Springer, vol. 16(2), pages 479-492, October.
  52. Kishi, Keiichi, 2019. "Technology diffusion, innovation size, and patent policy," European Economic Review, Elsevier, vol. 118(C), pages 382-410.
  53. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
  54. Aoyama, Hideaki & Fujiwara, Yoshi & Souma, Wataru, 2004. "Kinematics and dynamics of Pareto–Zipf's law and Gibrat's law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 117-121.
  55. ARATA Yoshiyuki, 2014. "Firm Growth and Laplace Distribution: The importance of large jumps," Discussion papers 14033, Research Institute of Economy, Trade and Industry (RIETI).
  56. Robert Kitt & Jaan Kalda, 2005. "Scaling analysis of multivariate intermittent time series," Papers cond-mat/0501325, arXiv.org.
  57. Montebruno, Piero & Bennett, Robert J. & van Lieshout, Carry & Smith, Harry, 2019. "A tale of two tails: Do Power Law and Lognormal models fit firm-size distributions in the mid-Victorian era?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 858-875.
  58. Salvador Pueyo, 2014. "Ecological Econophysics for Degrowth," Sustainability, MDPI, vol. 6(6), pages 1-53, May.
  59. Keiichi Kishi, 2016. "Technology Diffusion, Pareto Distribution, and Patent Policy," Discussion Papers in Economics and Business 16-31, Osaka University, Graduate School of Economics.
  60. Musa, Hussam & Krištofík, Peter & Medzihorský, Juraj & Klieštik, Tomáš, 2024. "The development of firm size distribution – Evidence from four Central European countries," International Review of Economics & Finance, Elsevier, vol. 91(C), pages 98-110.
  61. Jan Schulz & Daniel M. Mayerhoffer, 2021. "Equal chances, unequal outcomes? Network-based evolutionary learning and the industrial dynamics of superstar firms," Journal of Business Economics, Springer, vol. 91(9), pages 1357-1385, November.
  62. Ramón Rufín & Cayetano Medina, 2008. "Market delimitation, firm survival and growth in service industries," The Service Industries Journal, Taylor & Francis Journals, vol. 30(9), pages 1401-1417, September.
  63. Stefano Battiston & Joao F. Rodrigues & Hamza Zeytinoglu, 2007. "The Network Of Inter-Regional Direct Investment Stocks Across Europe," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 29-51.
  64. Atushi Ishikawa, 2007. "The uniqueness of company size distribution function from tent-shaped growth rate distribution," Papers physics/0702248, arXiv.org.
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  66. Ishikawa, Atushi, 2005. "Pareto law and Pareto index in the income distribution of Japanese companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 597-608.
  67. Vsevolod Andreev, 2017. "Territorial Distribution of the Population in the Russian Federation," Economy of region, Centre for Economic Security, Institute of Economics of Ural Branch of Russian Academy of Sciences, vol. 1(3), pages 803-811.
  68. Sui, Xin & Li, Liang, 2018. "Guarantee network model and risk contagion," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 323-329.
  69. Toscani, Giuseppe, 2016. "Kinetic and mean field description of Gibrat’s law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 802-811.
  70. Bottazzi, Giulio, 2009. "On the irreconcilability of Pareto and Gibrat laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1133-1136.
  71. Anindya S. Chakrabarti, 2013. "Bimodality in the firm size distributions: a kinetic exchange model approach," Papers 1302.3818, arXiv.org, revised May 2013.
  72. Reginster, Alexandre, 2021. "A stochastic analysis of firm dynamics: Their impact on the firm size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
  73. Marko Peric & Vanja Vitezic, 2016. "Impact of global economic crisis on firm growth," Small Business Economics, Springer, vol. 46(1), pages 1-12, January.
  74. Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno & Tsutomu Watanabe, 2017. "Dependence of the decay rate of firm activities on firm age," Evolutionary and Institutional Economics Review, Springer, vol. 14(2), pages 351-362, December.
  75. Chen, Shuo & Li, Yiran & Shi, Guang & Zhu, Zhitao, 2021. "Gone with the wind? Emissions of neighboring coal-fired power plants and local public health in China," China Economic Review, Elsevier, vol. 69(C).
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  81. Balmann, Alfons & Valentinov, Vladislav, 2016. "Towards a Theory of Structural Change in Agriculture: Just Economics?," 149th Seminar, October 27-28, 2016, Rennes, France 246420, European Association of Agricultural Economists.
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  84. Ishikawa, Atushi, 2006. "Annual change of Pareto index dynamically deduced from the law of detailed quasi-balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 525-535.
  85. He, Jianmin & Sui, Xin & Li, Shouwei, 2016. "An endogenous model of the credit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 1-14.
  86. A. Saichev & Y. Malevergne & D. Sornette, 2008. "Theory of Zipf's Law and of General Power Law Distributions with Gibrat's law of Proportional Growth," Papers 0808.1828, arXiv.org.
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  95. Marko Peric & Vanja Vitezic, 2016. "Impact of global economic crisis on firm growth," Small Business Economics, Springer, vol. 46(1), pages 1-12, January.
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  97. Atushi Ishikawa, 2007. "Quasistatically varying log-normal distribution in the middle scale region of Japanese land prices," Papers 0710.1893, arXiv.org.
  98. Atushi Ishikawa & Shouji Fujimoto & Tsutomu Watanabe & Takayuki Mizuno, 2012. "The Emergence of Different Tail Exponents in the Distributions of Firm Size Variables," UTokyo Price Project Working Paper Series 003, University of Tokyo, Graduate School of Economics, revised Dec 2012.
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