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A Statistical Equilibrium Approach to the Distribution of Profit Rates

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  • Ellis Scharfenaker
  • Gregor Semieniuk

Abstract

Following the work of Farjoun and Machover (1983) who propose a probabilistic approach to classical political economy, we study the empirical distribution of the rate of profit for previously unexamined firm level data. We detail the theoretical rationale of the principle of maximum entropy which Farjoun and Machover use to predict a stationary profit rate distribution. Then we examine their hypothesis of gamma distributed profit rates for over 24,000 publicly listed North American firms from 1962-2014 and find strong evidence for the organization of the distribution into a double exponential, or Laplace like distribution both at the economy wide and one and two digit SIC industry levels. In addition, we find that the otherwise stationary profit rate distributions exhibit a structural change following the 1980s as they display a surge in the fraction of firms earning negative profits. We offer an alternative justification for the Laplace distribution based on maximum entropy reasoning and show that this distribution can be surprisingly explained by a single constraint on the absolute deviation of profit rates from the mean.
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  • Ellis Scharfenaker & Gregor Semieniuk, 2017. "A Statistical Equilibrium Approach to the Distribution of Profit Rates," Metroeconomica, Wiley Blackwell, vol. 68(3), pages 465-499, July.
  • Handle: RePEc:bla:metroe:v:68:y:2017:i:3:p:465-499
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    File URL: http://hdl.handle.net/10.1111/meca.12134
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    1. Gijoon Hong & Stavros Peristiani, 2004. "Pre-IPO financial performance and aftermarket survival," Current Issues in Economics and Finance, Federal Reserve Bank of New York, vol. 10(Feb).
    2. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    3. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    4. Sergey V. Buldyrev & Jakub Growiec & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2007. "The Growth of Business Firms: Facts and Theory," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 574-584, 04-05.
    5. Wagner, Alfred, 1891. "Marshall's Principles of Economics," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 5, pages 319-338.
    6. Shaikh, Anwar & Papanikolaou, Nikolaos & Wiener, Noe, 2014. "Race, gender and the econophysics of income distribution in the USA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 54-60.
    7. Saverio M. Fratini & Alessia Naccarato, 2016. "The Gravitation of Market Prices as A Stochastic Process," Metroeconomica, Wiley Blackwell, vol. 67(4), pages 698-716, November.
    8. Gregor Semieniuk & Ellis Scharfenaker, 2014. "A Bayesian Latent Variable Mixture Model for Filtering Firm Profit Rate," SCEPA working paper series. 2014-1, Schwartz Center for Economic Policy Analysis (SCEPA), The New School.
    9. 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.
    10. 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.
    11. Reiner Franke, 2015. "How Fat-Tailed is US Output Growth?," Metroeconomica, Wiley Blackwell, vol. 66(2), pages 213-242, May.
    12. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    13. Mishael Milakovic', 2003. "Maximum Entropy Power Laws: An Application to the Tail of Wealth Distributions," LEM Papers Series 2003/01, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    14. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
    15. Mueller,Dennis C., 2009. "Profits in the Long Run," Cambridge Books, Cambridge University Press, number 9780521101592.
    16. Markus Schneider, 2015. "Revisiting the thermal and superthermal two-class distribution of incomes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(1), pages 1-10, January.
    17. Scharfenaker, Ellis & dos Santos, Paulo L., 2015. "The distribution and regulation of Tobin’s q," Economics Letters, Elsevier, vol. 137(C), pages 191-194.
    18. Alan G. Isaac, 2014. "The Intergenerational Propagation of Wealth Inequality," Metroeconomica, Wiley Blackwell, vol. 65(4), pages 571-584, November.
    19. Alfarano, Simone & Milaković, Mishael & Irle, Albrecht & Kauschke, Jonas, 2012. "A statistical equilibrium model of competitive firms," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 136-149.
    20. Deepankar Basu, 2013. "Replacement versus Historical Cost Profit Rates: What is the Difference? When Does it Matter?," Metroeconomica, Wiley Blackwell, vol. 64(2), pages 293-318, May.
    21. Bottazzi, Giulio & Secchi, Angelo, 2003. "Why are distributions of firm growth rates tent-shaped?," Economics Letters, Elsevier, vol. 80(3), pages 415-420, September.
    22. Duncan K. Foley, 1996. "Statistical Equilibrium In A Simple Labor Market," Metroeconomica, Wiley Blackwell, vol. 47(2), pages 125-147, June.
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    Cited by:

    1. Ellis Scharfenaker, 2020. "Statistical Equilibrium Methods in Analytical Political Economy," Working Paper Series, Department of Economics, University of Utah 2020_05, University of Utah, Department of Economics.
    2. Gregor Semieniuk & Isabella M. Weber, 2019. "Inequality in Energy Consumption: Statistical Equilibrium or a Question of Accounting Conventions?," Working Papers 228, Department of Economics, SOAS, University of London, UK.
    3. Jangho Yang, 2018. "Information Theoretic Approaches In Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 32(3), pages 940-960, July.
    4. Paulo L. dos Santos, 2017. "The Principle of Social Scaling," Complexity, Hindawi, vol. 2017, pages 1-9, December.
    5. Paulo L. dos Santos & Jangho Yang, 2018. "Arbitrage, Information, and the Competitive Organization of Distributions of Profitability," Working Papers 1803, New School for Social Research, Department of Economics.
    6. Ozlem Omer, 2018. "Equilibrium-Disequilibrium Dynamics of the US Housing Market, 2000-2015: A Quantal Response Statistical Equilibrium Approach," Working Papers 1809, New School for Social Research, Department of Economics.
    7. Scharfenaker, Ellis, 2020. "Implications of quantal response statistical equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 119(C).
    8. Ellis Scharfenaker & Duncan Foley, 2017. "Maximum Entropy Estimation of Statistical Equilibrium in Economic Quantal Response Models," Working Papers 1710, New School for Social Research, Department of Economics, revised May 2017.
    9. Noe Wiener, 2018. "Measuring Labor Market Segmentation from Incomplete Data," UMASS Amherst Economics Working Papers 2018-01, University of Massachusetts Amherst, Department of Economics.
    10. Jonathan F. Cogliano, 2017. "Surplus Value Production and Realization in Marxian Theory - Applications to the U.S., 1987-2015," Working Paper Series 2017-01, Dickinson College, Department of Economics.
    11. Mundt, Philipp & Alfarano, Simone & Milaković, Mishael, 2020. "Exploiting ergodicity in forecasts of corporate profitability," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    12. Ellis Scharfenaker, Markus P.A. Schneider, 2019. "Labor Market Segmentation and the Distribution of Income: New Evidence from Internal Census Bureau Data," Working Paper Series, Department of Economics, University of Utah 2019_08, University of Utah, Department of Economics.
    13. Paulo L. Dos Santos & Jangho Yang, 2019. "The persistent and informative distribution of returns on capital," Economics and Business Letters, Oviedo University Press, vol. 8(3), pages 156-165.
    14. Patrick Mokre & Miriam Rehm, 2018. "Inter-Industry Wage Inequality: Persistent differences and turbulent equalization," Working Papers 1818, New School for Social Research, Department of Economics.
    15. Deepankar Basu, 2017. "Quantitative Empirical Research In Marxist Political Economy: A Selective Review," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1359-1386, December.
    16. Paulo dos Santos & Ellis Scharfenaker, 2016. "Informational Performance, Competitive Capital-Market Scaling, and the Frequency Distribution of Tobin’s Q," Working Papers 1607, New School for Social Research, Department of Economics.
    17. Di Bucchianico, Stefano, 2019. "The Impact of Financialization on the Rate of Profit: A Discussion," Centro Sraffa Working Papers CSWP36, Centro di Ricerche e Documentazione "Piero Sraffa".
    18. Mundt, Philipp & Oh, Ilfan, 2019. "Asymmetric competition, risk, and return distribution," BERG Working Paper Series 145, Bamberg University, Bamberg Economic Research Group.
    19. Noe Wiener, 2019. "Diversity in Segmention. Patterns of Immigrant Competition in US Labor Markets," Working Papers 1901, New School for Social Research, Department of Economics.
    20. Mundt, Philipp & Oh, Ilfan, 2019. "Asymmetric competition, risk, and return distribution," Economics Letters, Elsevier, vol. 179(C), pages 29-32.
    21. Luis Daniel Torres Gonzalez, 2017. "Regularities in Prices of Production and the Concentration of Compositions of Capitals," Working Papers 1709, New School for Social Research, Department of Economics.

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    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • B5 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches

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