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Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors

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  • Hideaki Aoyama
  • Yoshi Fujiwara
  • Yuichi Ikeda
  • Hiroshi Iyetomi
  • Wataru Souma

Abstract

Labour productivity distribution (dispersion) is studied both theoretically and empirically. Superstatistics is presented as a natural theoretical framework for productivity. The demand index $\kappa$ is proposed within this framework as a new business index. Japanese productivity data covering small-to-medium to large firms from 1996 to 2006 is analyzed and the power-law for both firms and workers is established. The demand index $\kappa$ is evaluated in the manufacturing sector. A new discovery is reported for the nonmanufacturing (service) sector, which calls for expansion of the superstatistics framework to negative temperature range.

Suggested Citation

  • Hideaki Aoyama & Yoshi Fujiwara & Yuichi Ikeda & Hiroshi Iyetomi & Wataru Souma, 2009. "Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors," Papers 0901.1500, arXiv.org.
    • Handle: RePEc:arx:papers:0901.1500
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    References listed on IDEAS

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    1. Masanao Aoki, "undated". "Reconstructing Macroeconomics: A Perspective from Statistical Physics and Combinatorial Stochastic Processes," UCLA Economics Online Papers 390, UCLA Department of Economics.
    2. Hiroshi Yoshikawa, 2003. "The Role of Demand in Macroeconomics," The Japanese Economic Review, Japanese Economic Association, vol. 54(1), pages 1-27, March.
    3. Aoki,Masanao & Yoshikawa,Hiroshi, 2011. "Reconstructing Macroeconomics," Cambridge Books, Cambridge University Press, number 9781107634206, October.
    4. Souma, Wataru & Ikeda, Yuichi & Iyetomi, Hiroshi & Fujiwara, Yoshi, 2009. "Distribution of Labour Productivity in Japan over the Period 1996--2006," Economics Discussion Papers 2009-2, Kiel Institute for the World Economy (IfW Kiel).
    5. Yuichi Ikeda & Wataru Souma, 2008. "International Comparison of Labor Productivity Distribution for Manufacturing and Non-Manufacturing Firms," Papers 0812.0208, arXiv.org, revised Dec 2008.
    6. Hideaki Aoyama & Hiroshi Yoshikawa & Hiroshi Iyetomi & Yoshi Fujiwara, 2008. "Labour Productivity Superstatistics," Papers 0809.3541, arXiv.org.
    7. Fujiwara, Yoshi & Iyetomi, Hiroshi & Ikeda, Yuichi & Souma, Wataru, 2009. "Distribution of Labour Productivity in Japan over the Period 1996-2006," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-14.
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    Cited by:

    1. AOYAMA Hideaki & IYETOMI Hiroshi & YOSHIKAWA Hiroshi, 2012. "Equilibrium Distribution of Labor Productivity," Discussion papers 12041, Research Institute of Economy, Trade and Industry (RIETI).
    2. Hawkins, Raymond J. & Aoki, Masanao & Roy Frieden, B., 2010. "Asymmetric information and macroeconomic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3565-3571.
    3. Souma, Wataru & Ikeda, Yuichi & Iyetomi, Hiroshi & Fujiwara, Yoshi, 2009. "Distribution of Labour Productivity in Japan over the Period 1996--2006," Economics Discussion Papers 2009-2, Kiel Institute for the World Economy (IfW Kiel).
    4. FUJIWARA Yoshi & AOYAMA Hideaki, 2011. "Stochastic Origin of Scaling Laws in Productivity and Employment Dispersion," Discussion papers 11044, Research Institute of Economy, Trade and Industry (RIETI).
    5. Aoki, Masanao & Hawkins, Raymond J., 2010. "Non-self-averaging and the statistical mechanics of endogenous macroeconomic fluctuations," Economic Modelling, Elsevier, vol. 27(6), pages 1543-1546, November.
    6. Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2015. "Equilibrium distribution of labor productivity: a theoretical model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 57-66, April.
    7. Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2012. "Equilibrium Distribution of Labor Productivity: A Theoretical Model," Papers 1205.2470, arXiv.org.
    8. 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.

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