IDEAS home Printed from https://ideas.repec.org/p/zbw/cauewp/7362.html
   My bibliography  Save this paper

A Statistical Equilibrium Model of Competitive Firms

Author

Listed:
  • Irle, Albrecht
  • Milaković, Mishael
  • Alfarano, Simone
  • Kauschke, Jonas

Abstract

We argue that the complex interactions of competitive heterogeneous firms lead to a statistical equilibrium distribution of firms? profit rates, which turns out to be an exponential power (or Subbotin) distribution. Moreover, we construct a diffusion process that has the Subbotin distribution as its stationary probability density, leading to a phenomenologically inspired interpretation of variations in the shape parameter of the statistical equilibrium distribution. Our main finding is that firms? idiosyncratic efforts and the tendency for competition to equalize profit rates are two sides of the same coin.

Suggested Citation

  • Irle, Albrecht & Milaković, Mishael & Alfarano, Simone & Kauschke, Jonas, 2008. "A Statistical Equilibrium Model of Competitive Firms," Economics Working Papers 2008-10, Christian-Albrechts-University of Kiel, Department of Economics.
  • Handle: RePEc:zbw:cauewp:7362
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/22055/1/EWP-2008-10.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2008. "Are output growth-rate distributions fat-tailed? some evidence from OECD countries," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(5), pages 639-669.
    2. John Cable & Dennis Mueller, 2008. "Testing for Persistence of Profits' Differences Across Firms," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 15(2), pages 201-228.
    3. Giorgio Fagiolo & Lucia Alessi & Matteo Barigozzi & Marco Capasso, 2010. "On the distributional properties of household consumption expenditures: the case of Italy," Empirical Economics, Springer, vol. 38(3), pages 717-741, June.
    4. Adelina Gschwandtner, 2005. "Profit persistence in the 'very' long run: evidence from survivors and exiters," Applied Economics, Taylor & Francis Journals, vol. 37(7), pages 793-806.
    5. Maruyama, Nobuhiro & Odagiri, Hiroyuki, 2002. "Does the 'persistence of profits' persist?: a study of company profits in Japan, 1964-97," International Journal of Industrial Organization, Elsevier, vol. 20(10), pages 1513-1533, December.
    6. Geroski, Paul A & Jacquemin, Alexis, 1988. "The Persistence of Profits: A European Comparison," Economic Journal, Royal Economic Society, vol. 98(391), pages 375-389, June.
    7. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
    8. Giulio Bottazzi & Angelo Secchi & Federico Tamagni, 2008. "Productivity, profitability and financial performance," Industrial and Corporate Change, Oxford University Press, vol. 17(4), pages 711-751, August.
    9. Castaldi, Carolina & Milakovic, Mishael, 2007. "Turnover activity in wealth portfolios," Journal of Economic Behavior & Organization, Elsevier, vol. 63(3), pages 537-552, July.
    10. S. V. Buldyrev & F. Pammolli & M. Riccaboni & K. Yamasaki & D.-F. Fu & K. Matia & H. E. Stanley, 2007. "A generalized preferential attachment model for business firms growth rates," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 131-138, May.
    11. Alfarano, Simone & Milakovic, Mishael, 2008. "Does classical competition explain the statistical features of firm growth?," Economics Letters, Elsevier, vol. 101(3), pages 272-274, December.
    12. Giulio Bottazzi & Angelo Secchi, 2003. "Common Properties and Sectoral Specificities in the Dynamics of U.S. Manufacturing Companies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 23(3_4), pages 217-232, December.
    13. Stutzer, Michael, 1996. "A Simple Nonparametric Approach to Derivative Security Valuation," Journal of Finance, American Finance Association, vol. 51(5), pages 1633-1652, December.
    14. Giulio Bottazzi & Angelo Secchi, 2006. "Explaining the distribution of firm growth rates," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 235-256, June.
    15. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    16. Jack Glen & Kevin Lee & Ajit Singh, 2003. "Corporate profitability and the dynamics of competition in emerging markets: a time series analysis," Economic Journal, Royal Economic Society, vol. 113(491), pages 465-484, November.
    17. Goddard, J. A. & Wilson, J. O. S., 1999. "The persistence of profit: a new empirical interpretation," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 663-687, July.
    18. Glen, Jack & Lee, Kevin & Singh, Ajit, 2001. "Persistence of profitability and competition in emerging markets," Economics Letters, Elsevier, vol. 72(2), pages 247-253, August.
    19. Giulio Bottazzi & Elena Cefis & Giovanni Dosi, 2002. "Corporate growth and industrial structures: some evidence from the Italian manufacturing industry," Industrial and Corporate Change, Oxford University Press, vol. 11(4), pages 705-723, August.
    20. Young, Allyn A., 1928. "Increasing Returns and Economic Progress," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 38, pages 527-542.
    21. Mueller, Dennis C, 1977. "The Persistence of Profits above the Norm," Economica, London School of Economics and Political Science, vol. 44(176), pages 369-380, November.
    22. Paul J. McNulty, 1968. "Economic Theory and the Meaning of Competition," The Quarterly Journal of Economics, Oxford University Press, vol. 82(4), pages 639-656.
    23. G. J. Stigler, 1972. "Perfect Competition, Historically Contemplated," Palgrave Macmillan Books, in: Charles K. Rowley (ed.), Readings in Industrial Economics, chapter 7, pages 105-130, Palgrave Macmillan.
    24. Wagner, Friedrich & Milaković, Mishael & Alfarano, Simone, 2010. "Firm profitability and the network of organizational capabilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4769-4775.
    25. Vickers, John, 1995. "Concepts of Competition," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 1-23, January.
    26. G. Bottazzi & E. Cefis & G. Dosi & A. Secchi, 2007. "Invariances and Diversities in the Patterns of Industrial Evolution: Some Evidence from Italian Manufacturing Industries," Small Business Economics, Springer, vol. 29(1), pages 137-159, June.
    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. Oh, Ilfan, 2019. "Autonomy of profit rate distribution and its dynamics from firm size measures: A statistical equilibrium approach," BERG Working Paper Series 146, Bamberg University, Bamberg Economic Research Group.
    2. Mundt, Philipp & Alfarano, Simone & Milaković, Mishael, 2020. "Exploiting ergodicity in forecasts of corporate profitability," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    3. Johan E. Eklund & Emma Lappi, 2019. "Persistence of profits in the EU: how competitive are EU member countries?," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 46(2), pages 327-351, May.
    4. Adelina Gschwandtner & Michael Hauser, 2008. "Modelling profit series: nonstationarity and long memory," Applied Economics, Taylor & Francis Journals, vol. 40(11), pages 1475-1482.
    5. Christa Sys, 2013. "Persistence of profits in the container liner shipping industry," Chapters, in: Thomas Vanoutrive & Ann Verhetsel (ed.), Smart Transport Networks, chapter 6, pages 99-125, Edward Elgar Publishing.
    6. M. Capasso & E. Cefis & K. Frenken, 2009. "Do some firms persistently outperform?," Working Papers 09-, Utrecht School of Economics.
    7. Matthias Duschl & Thomas Brenner, 2013. "Characteristics of regional industry-specific employment growth rates' distributions," Papers in Regional Science, Wiley Blackwell, vol. 92(2), pages 249-270, June.
    8. Giovanni Dosi & Sébastien Lechevalier & Angelo Secchi, 2010. "Interfirm heterogeneity: nature, sources and consequences for industrial dynamics. An introduction," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00642680, HAL.
    9. Philipp Mundt & Simone Alfarano & Mishael Milakovic, 2016. "Gibrat’s Law Redux: think profitability instead of growth," Industrial and Corporate Change, Oxford University Press, vol. 25(4), pages 549-571.
    10. Stefan Hirsch & Monika Hartmann, 2014. "Persistence of firm-level profitability in the European dairy processing industry," Agricultural Economics, International Association of Agricultural Economists, vol. 45(S1), pages 53-63, November.
    11. Giulio Bottazzi & Angelo Secchi, 2011. "A new class of asymmetric exponential power densities with applications to economics and finance," Industrial and Corporate Change, Oxford University Press, vol. 20(4), pages 991-1030, August.
    12. Jesus Crespo Cuaresma & Adelina Gschwandtner, 2006. "The competitive environment hypothesis revisited: non-linearity, nonstationarity and profit persistence," Applied Economics, Taylor & Francis Journals, vol. 38(4), pages 465-472.
    13. Goddard, John & Liu, Hong & Molyneux, Philip & Wilson, John O.S., 2011. "The persistence of bank profit," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2881-2890, November.
    14. Dosi, Giovanni & Nelson, Richard R., 2010. "Technical Change and Industrial Dynamics as Evolutionary Processes," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 51-127, Elsevier.
    15. Jesús Crespo Cuaresma & Adelina Gschwandtner, 2008. "Tracing The Dynamics Of Competition: Evidence From Company Profits," Economic Inquiry, Western Economic Association International, vol. 46(2), pages 208-213, April.
    16. Wiberg, Daniel, 2009. "Persistence of Profits and the Systematic Search for Knowledge - R&D and profits above the norm," Working Paper Series in Economics and Institutions of Innovation 161, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
    17. Johan E. Eklund & Emma Lappi, 2018. "Product regulations and persistence of profits: OECD evidence," Journal of Regulatory Economics, Springer, vol. 54(2), pages 147-164, October.
    18. Matthias Duschl & Thomas Brenner, 2011. "Characteristics of Regional Industry-specific Employment Growth – Empirical Evidence for Germany," Working Papers on Innovation and Space 2011-07, Philipps University Marburg, Department of Geography.
    19. Jan Schiefer & Stefan Hirsch & Monika Hartmann & Adelina Gschwandtner, 2013. "Industry, firm, year and country effects on profitability in EU food processing," Studies in Economics 1309, School of Economics, University of Kent.
    20. Eralp Bektas, 2007. "The persistence of profits in the Turkish banking system," Applied Economics Letters, Taylor & Francis Journals, vol. 14(3), pages 187-190.

    More about this item

    Keywords

    Statistical equilibrium; maximum entropy principle; diffusion process; stochastic differential equation; competition; profit rate;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:zbw:cauewp:7362. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/vakiede.html .

    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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/vakiede.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.