Skip to main content
Log in

Statistical equilibria in economic systems: Socio-combinatorial or individualist-reductionist characterizations?

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

This paper motivates the distinctive analytical usefulness of socio-combinatorial characterizations of statistical equilibria in economic systems. It does so by drawing on Gibbs’ approach to thermodynamic ensembles and on Jaynes’ epistemic characterization of probabilities, entropy, and associated concepts. The resulting approach is contrasted with two classes of individualist-reductionist characterizations of statistical equilibria that are influential among economists and physicists: Micro-econometric cross-sectional and drift-diffusion models. Two illustrative applications contrast the insights each approach offers into the economic and social content of observed statistical equilibria, involving distributions of individual incomes and rates of return for individual enterprises.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Mantegna, H.E. Stanley, An Introduction to Econophysics and Finance (Cambridge University Press, 2000)

  2. T. Lux, Applications of statistical physics in finance and economics, Economics Working Paper, Christian-Albrechts-Universität Kiel, (05), 2007.

  3. B. Rosser, Econophysics, in The New Palgrave Dictionary of Economics, 2nd edn. (Palgrave MacMillan, 2008), pp. 1625–1643

  4. R. Mantegna, Physica A 179, 232 (1991)

    Article  ADS  Google Scholar 

  5. R. Mantegna, H. Stanley, Nature 376, 46 (1995)

    Article  ADS  Google Scholar 

  6. R. Mantegna, H. Stanley, Nature 383, 587 (1996)

    Article  ADS  Google Scholar 

  7. P. Gopikrishnan, V. Plerou, X. Gabaix, L. Amaral, H. Stanley, Quant. Finance 1, 262 (2001)

    Article  Google Scholar 

  8. J. McCauley, Dynamics of Markets, Econophysics and Finance (Cambridge University Press, 2004)

  9. A. Silva, R. Prange, V. Yakovenko, Physica A 344, 227 (2004)

    Article  ADS  Google Scholar 

  10. M. Levy, S. Solomon, Physica A 242, 90 (1997)

    Article  ADS  Google Scholar 

  11. A. Dragulescu, V. Yakovenko, Eur. Phys. J. B 20, 585 (2001)

    Article  ADS  Google Scholar 

  12. V. Yakovenko, J.B. Rosser, Rev. Mod. Phys. 81, 1703 (2009)

    Article  ADS  Google Scholar 

  13. M.P. Schneider, J. Income Distrib. 22, 2 (2013)

    Google Scholar 

  14. A. Shaikh, N. Papanikolaou, N. Wiener, Physica A 415, 54 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  15. M. Stanley, L. Amaral, S. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M. Salinger, H. Stanley, Nature 379, 804 (1996)

    Article  ADS  Google Scholar 

  16. H. Takayasu, K. Okuyama, Fractals 6, 67 (1998)

    Article  Google Scholar 

  17. G. Bottazzi, A. Secchi, Econ. Lett. 80, 415 (2003)

    Article  Google Scholar 

  18. S. Alfarano, M. Milaković, Econ. Lett. 101, 272

  19. E. Scharfenaker, G. Semieniuk, Metroeconomica 68, 465 (2017)

    Article  Google Scholar 

  20. P.L. dos Santos, J. Yang, Econ. Bus. Lett. 8, 156 (2019)

    Article  Google Scholar 

  21. E. Scharfenaker, P.L. dos Santos, Econ. Lett. 137, 191 (2015)

    Article  Google Scholar 

  22. P.L. dos Santos, E. Scharfenaker, Ind. Co. Change 28, 1587 (2019)

    Article  Google Scholar 

  23. T.J. Kozubowski, K. Podgórski, Math. Comput. Model. 34, 1003 (2001)

    Article  Google Scholar 

  24. P.L. dos Santos, Complexity 2017, 8358909 (2017)

    Article  Google Scholar 

  25. E.T. Jaynes, Delaware lecture, in: Papers on Probability, Statistics and Statistical Physics, edited by R.D. Rosenkrantz (Springer, 1989), pp. 87–113

  26. E.T. Jaynes, Probability Theory: The Logic of Science (Cambridge University Press, 2003)

  27. R. Niven, Combinatorial information theory: I. philosophical basis of cross-entropy and entropy, Unpublished Manuscript, University of New South Wales, 2007

  28. J.M. Keynes, The General Theory of Employment, Interest and Money (Macmillan, London, 1936)

  29. J. Steindl, Maturity and Stagnation in American Capitalism (Monthly Review Press, 1976)

  30. L. Walras, Elements of Pure Economics (Routledge, London, 1954)

  31. W. Jevons, The Theory of Political Economy (Palgrave, London, 2013)

  32. J.B. Clarke, The Distribution of Wealth: A Theory of Wages, Interest and Profits (Elibron Classics, 2005)

  33. R. Lucas, Econometric policy evaluation: a critique, in The Phillips Curve and Labor Markets (Elsevier, 1976)

  34. A. Smith, The Wealth of Nations (Penguin, 1982)

  35. K. Marx, Capital, Volume I (Charles H. Kerr and Company, 1919)

  36. F.A. Hayek, Individualism: True and False (B.H. Blackwell Limited, 1945)

  37. E. Fama, J. Finance 25 (1970) 383

    Article  Google Scholar 

  38. G. Becker, J. Political Econ. 70, 1 (1962)

    Article  Google Scholar 

  39. A. Shaikh, Capitalism: Competition, Conflict, Crises (Oxford University Press, 2016)

  40. P.L. dos Santos, N. Wiener, Entropy 21, 367 (2019)

    Article  ADS  Google Scholar 

  41. P.L. dos Santos, E. Scharfernaker, Ind. Co. Change 28, 1587 (2019)

    Article  Google Scholar 

  42. P.L. dos Santos, J. Yang, Adv. Complex Syst., Forthcoming (2020)

  43. P.L. dos Santos, N. Wiener, J. Math. Sociol., Forthcoming (2019)

  44. P. Sraffa, Production of Commodities by Means of Commodities (Cambridge University Press, 1960)

  45. E.T. Jaynes, Concentration of distributions at entropy maxima, in: Papers on Probability, Statistics and Statistical Physics, edited by R.D. Rosenkrantz (D. Reidel, Dordrecht, 1979)

  46. G. Bottazzi, A. Secchi, RAND J. Econ.37 (2006) 235

    Article  Google Scholar 

  47. E. Scharfenaker, D.K. Foley, A maximum entropy solution to quantal response equilibria in economic models, Technical report (2016)

  48. S. Fazzari, R.G. Hubbard, B.C. Petersen, Financing constraints and corporate investment, Brookings Papers on Economic Activity, 141–195 (1988)

  49. A. Blinder, Financing constraints and corporate investment: discussion and comments. Brookings Papers on Economic Activity, 196–200 (1988)

  50. D. Diamond, J. Political Econ. 99, 688 (1991)

    Google Scholar 

  51. R. Hanel, S. Thurner, EPL 96, 50003 (2011)

    Article  ADS  Google Scholar 

  52. J.A. Hausman, Econometrica 46, 1251 (1978)

    Article  MathSciNet  Google Scholar 

  53. A. Golan, G. Judge, D. Miller, Maximum Entropy Econometrics: Robust Estimation with Limited Data (Wiley, Chichester, West Sussex, 1996)

  54. A. Zellner, The Bayesian Method of Moments/Instrumental Variable (BMOM/IV): analysis of mean and regression models, in Modelling and Prediction: Essays Honoring Seymour Geisser (Springer, 1995)

  55. A. Zellner, Int. Econ. Rev. 42, 121 (2001)

    Article  Google Scholar 

  56. T. Snijders, R. Bosker, Multilevel Analysis (Sage Publishing, 2011}

  57. I. Fisher, Econometrica 1. 337 (1933)

    Article  Google Scholar 

  58. V. Yakovenko, A.C. Silva, Two-class structure of income distribution in the USA: exponential bulk and power-law tail, in Econophysics of Wealth Distribtuions (Springer, 2005)

  59. V. Yakovenko, Econophysics, statistical mechanics approach to, in Encyclopedia of Complexity and System Science, edited by R. Meyers (Springer, 2007)

  60. J. Harrison, R. Williams, Ann. Probab. 15, 115 (1987)

    Article  MathSciNet  Google Scholar 

  61. J. Mincer, Schooling, Experience, and Earnings. Human Behavior and Social Institutions No 2 ((National Bureau of Economic Research; distributed by Columbia University Press, 1974)

  62. R. Mork, A. Shleifer, R. Vishny, Brookings Pap. Econ. Act. 2, 157 (1990)

    Article  Google Scholar 

  63. O. Blanchard, C. Rhee, L. Summers, Q. J. Econ. 108, 115 (1993)

    Article  Google Scholar 

  64. W.C. Brainard, J. Tobin, Am. Econ. Rev. 58. 99 (1968)

    Google Scholar 

  65. S. Alfarano, M. Milaković, A. Irle, J. Kauschke, J. Econ. Dyn. Control 36, 136 (2012)

    Article  Google Scholar 

  66. E. Smith, J. Theor. Biol. 252, 185 (2008)

    Article  Google Scholar 

  67. J.S. Wicken, J. Soc. Biol. Struct. 9, 261 (1986)

    Article  Google Scholar 

  68. F. Hayek, Am. Econ. Rev. 35, 519 (1945)

    Google Scholar 

  69. I.M. Kirzner, The Meaning of Market Process: Essays in the Development of Modern Austrian Economics (Routledge, Routledge Edition, 1992)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Paulo L. dos Santos.

Additional information

Publisher’s Note

The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

dos Santos, P.L. Statistical equilibria in economic systems: Socio-combinatorial or individualist-reductionist characterizations?. Eur. Phys. J. Spec. Top. 229, 1603–1622 (2020). https://doi.org/10.1140/epjst/e2020-900157-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2020-900157-8

Navigation