IDEAS home Printed from https://ideas.repec.org/p/eti/dpaper/12041.html
   My bibliography  Save this paper

Equilibrium Distribution of Labor Productivity

Author

Listed:
  • AOYAMA Hideaki
  • IYETOMI Hiroshi
  • YOSHIKAWA Hiroshi

Abstract

We construct a theoretical model for equilibrium distribution of workers across sectors with different labor productivity, assuming that a sector can accommodate a limited number of workers which depends only on its productivity. A general formula for such distribution of productivity is obtained, using the detail-balance condition necessary for equilibrium in the Ehrenfest-Brillouin model. We also carry out an empirical analysis on the average number of workers in given productivity sectors on the basis of an exhaustive dataset in Japan. The theoretical formula succeeds in explaining the two distinctive observational facts in a unified way, that is, a Boltzmann distribution with negative temperature on the low-to-medium productivity side and a decreasing part in a power-law form on the high productivity side.

Suggested Citation

  • AOYAMA Hideaki & IYETOMI Hiroshi & YOSHIKAWA Hiroshi, 2012. "Equilibrium Distribution of Labor Productivity," Discussion papers 12041, Research Institute of Economy, Trade and Industry (RIETI).
    • Handle: RePEc:eti:dpaper:12041
    as

    Download full text from publisher

    File URL: https://www.rieti.go.jp/jp/publications/dp/12e041.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Peter Diamond, 2011. "Unemployment, Vacancies, Wages," American Economic Review, American Economic Association, vol. 101(4), pages 1045-1072, June.
    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. Dale T. Mortensen, 2011. "Markets with Search Friction and the DMP Model," American Economic Review, American Economic Association, vol. 101(4), pages 1073-1091, June.
    4. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
    5. Scalas, Enrico & Garibaldi, Ubaldo, 2009. "A Dynamic Probabilistic Version of the Aoki-Yoshikawa Sectoral Productivity Model," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-10.
    6. Christopher A. Pissarides, 2011. "Equilibrium in the Labor Market with Search Frictions," American Economic Review, American Economic Association, vol. 101(4), pages 1092-1105, June.
    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.
    8. 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).
    9. Ikeda, Yuichi & Fujiwara, Yoshi & Aoyama, Hideaki & Iyetomi, Hiroshi & Souma, Wataru, 2009. "Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-17.
    10. Garibaldi,Ubaldo & Scalas,Enrico, 2010. "Finitary Probabilistic Methods in Econophysics," Cambridge Books, Cambridge University Press, number 9780521515597.
    11. Hideaki Aoyama & Hiroshi Yoshikawa & Hiroshi Iyetomi & Yoshi Fujiwara, 2010. "Productivity dispersion: facts, theory, and implications," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 5(1), pages 27-54, June.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2012. "Equilibrium Distribution of Labor Productivity: A Theoretical Model," Papers 1205.2470, arXiv.org.
    2. 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.
    3. Hiroshi Yoshikawa, 2015. "Stochastic macro-equilibrium: a microfoundation for the Keynesian economics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 31-55, April.
    4. 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.
    5. AOYAMA Hideaki & IYETOMI Hiroshi & SOUMA Wataru & YOSHIKAWA Hiroshi, 2015. "Application of the Concept of Entropy to Equilibrium in Macroeconomics," Discussion papers 15070, Research Institute of Economy, Trade and Industry (RIETI).
    6. YOSHIKAWA Hiroshi, 2013. "Stochastic Macro-equilibrium and Microfoundations for Keynesian Economics," Discussion papers 13039, Research Institute of Economy, Trade and Industry (RIETI).
    7. Hiroshi Yoshikawa, 2011. "Stochastic Macro-equilibrium and A Microfoundation for the Keynesian Economics," CIRJE F-Series CIRJE-F-827, CIRJE, Faculty of Economics, University of Tokyo.
    8. Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015. "Generalization of the Aoki–Yoshikawa sectoral productivity model based on extreme physical information principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 161-172.
    9. 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.
    10. Danthine, Samuel & De Vroey, Michel, 2017. "The Integration Of Search In Macroeconomics: Two Alternative Paths," Journal of the History of Economic Thought, Cambridge University Press, vol. 39(4), pages 523-548, December.
    11. Fields, Gary S., 2011. "Labor market analysis for developing countries," Labour Economics, Elsevier, vol. 18(S1), pages 16-22.
    12. Matthew Groh & David McKenzie & Nour Shammout & Tara Vishwanath, 2015. "Testing the importance of search frictions and matching through a randomized experiment in Jordan," IZA Journal of Labor Economics, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 4(1), pages 1-20, December.
    13. Ioannides, Yannis M., 2018. "A DMP model of intercity trade," Labour Economics, Elsevier, vol. 50(C), pages 97-111.
    14. 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.
    15. Ellis Scharfenaker, 2022. "Statistical Equilibrium Methods In Analytical Political Economy," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 276-309, April.
    16. Dinopoulos, Elias & Grieben, Wolf-Heimo & Şener, Fuat, 2023. "A Policy Conundrum: Schumpeterian Growth or Job Creation?," Economic Modelling, Elsevier, vol. 126(C).
    17. Tao, Yong, 2015. "Universal laws of human society’s income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 89-94.
    18. Ikeda, Yuichi & Fujiwara, Yoshi & Aoyama, Hideaki & Iyetomi, Hiroshi & Souma, Wataru, 2008. "Superstatistics of Labour Productivity in Manufacturing and Nonmanufacturing Sectors," Economics Discussion Papers 2008-42, Kiel Institute for the World Economy (IfW Kiel).
    19. Mundt, Philipp & Förster, Niels & Alfarano, Simone & Milaković, Mishael, 2014. "The real versus the financial economy: A global tale of stability versus volatility," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 8, pages 1-26.
    20. H. Iyetomi & H. Aoyama & Y. Fujiwara & Y. Ikeda & W. Souma, 2009. "A Paradigm Shift from Production Function to Production Copula: Statistical Description of Production Activity of Firms," Papers 0902.1576, arXiv.org, revised Nov 2010.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eti:dpaper:12041. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: TANIMOTO, Toko (email available below). General contact details of provider: https://edirc.repec.org/data/rietijp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.