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Wealth rheology

Author

Listed:
  • Zdzislaw Burda

    (AGH University of Science and Technology, Faculty of Physics and Applied Computer Science)

  • Malgorzata J. Krawczyk

    (AGH University of Science and Technology, Faculty of Physics and Applied Computer Science)

  • Krzysztof Malarz

    (AGH University of Science and Technology, Faculty of Physics and Applied Computer Science)

  • Malgorzata Snarska

    (Cracow University of Economics, Department of Financial Markets)

Abstract

We study wealth rank correlations in a simple model of macro-economy. To quantify rank correlations between wealth rankings at different times, we use Kendall's $\tau$ and Spearman's $\rho$, Goodman--Kruskal's $\gamma$, and the lists' overlap ratio. We show that the dynamics of wealth flow and the speed of reshuffling in the ranking list depend on parameters of the model controlling the wealth exchange rate and the wealth growth volatility. As an example of the rheology of wealth in real data, we analyze the lists of the richest people in Poland, Germany, the USA and the world.

Suggested Citation

  • Zdzislaw Burda & Malgorzata J. Krawczyk & Krzysztof Malarz & Malgorzata Snarska, 2021. "Wealth rheology," Papers 2105.08048, arXiv.org, revised Jun 2021.
  • Handle: RePEc:arx:papers:2105.08048
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    References listed on IDEAS

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    1. Zdzislaw Burda & Pawel Wojcieszak & Konrad Zuchniak, 2018. "Dynamics of Wealth Inequality," Papers 1802.01991, arXiv.org, revised Jun 2019.
    2. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    3. Diem, Christian & Pichler, Anton & Thurner, Stefan, 2020. "What is the minimal systemic risk in financial exposure networks?," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    4. Moshe Levy & Sorin Solomon, 1996. "Power Laws Are Logarithmic Boltzmann Laws," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 595-601.
    5. Piketty, Thomas & Saez, Emmanuel, 2012. "A Theory of Optimal Capital Taxation," CEPR Discussion Papers 8946, C.E.P.R. Discussion Papers.
    6. Cont, Rama & Bouchaud, Jean-Philipe, 2000. "Herd Behavior And Aggregate Fluctuations In Financial Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 4(2), pages 170-196, June.
    7. J. Karpińska & K. Malarz & K. Kułakowski, 2004. "How Pairs Of Partners Emerge In An Initially Fully Connected Society," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(09), pages 1227-1233.
    8. S. Ispolatov & P.L. Krapivsky & S. Redner, 1998. "Wealth distributions in asset exchange models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 2(2), pages 267-276, March.
    9. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    10. Yonatan Berman & Eshel Ben-Jacob & Yoash Shapira, 2016. "The Dynamics of Wealth Inequality and the Effect of Income Distribution," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-19, April.
    11. Yonatan Berman & Ole Peters & Alexander Adamou, 2016. "Far from equilibrium: Wealth reallocation in the United States," Papers 1605.05631, arXiv.org.
    12. Chakrabarti,Bikas K. & Chakraborti,Anirban & Chakravarty,Satya R. & Chatterjee,Arnab, 2013. "Econophysics of Income and Wealth Distributions," Cambridge Books, Cambridge University Press, number 9781107013445.
    13. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    14. Venkatasubramanian, Venkat & Luo, Yu & Sethuraman, Jay, 2015. "How much inequality in income is fair? A microeconomic game theoretic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 120-138.
    15. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
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