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Universal Laws of Human Society's Income Distribution

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  • Yong Tao

Abstract

General equilibrium equations in economics play the same role with many-body Newtonian equations in physics. Accordingly, each solution of the general equilibrium equations can be regarded as a possible microstate of the economic system. Since Arrow's Impossibility Theorem and Rawls' principle of social fairness will provide a powerful support for the hypothesis of equal probability, then the principle of maximum entropy is available in a just and equilibrium economy so that an income distribution will occur spontaneously (with the largest probability). Remarkably, some scholars have observed such an income distribution in some democratic countries, e.g. USA. This result implies that the hypothesis of equal probability may be only suitable for some "fair" systems (economic or physical systems). From this meaning, the non-equilibrium systems may be "unfair" so that the hypothesis of equal probability is unavailable.

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  • Yong Tao, 2015. "Universal Laws of Human Society's Income Distribution," Papers 1506.05418, arXiv.org.
    • Handle: RePEc:arx:papers:1506.05418
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    Cited by:

    1. Tao, Yong, 2020. "Self-referential Boltzmann machine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Yong Tao & Xiangjun Wu & Tao Zhou & Weibo Yan & Yanyuxiang Huang & Han Yu & Benedict Mondal & Victor M. Yakovenko, 2019. "Exponential structure of income inequality: evidence from 67 countries," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(2), pages 345-376, June.
    3. Max Greenberg & H. Oliver Gao, 2024. "Twenty-five years of random asset exchange modeling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-27, June.
    4. Tao, Yong & Wu, Xiangjun & Li, Changshuai, 2017. "Rawls' fairness, income distribution and alarming level of Gini coefficient," Economics Discussion Papers 2017-67, Kiel Institute for the World Economy (IfW Kiel).
    5. Gündüz, Güngör & Kuzucuoğlu, Mahmut & Gündüz, Yalın, 2022. "Entropic characterization of Gross Domestic Product per capita (GDP) values of countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    6. Tao, Yong, 2018. "Swarm intelligence in humans: A perspective of emergent evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 436-446.
    7. Tao, Yong & Sornette, Didier & Lin, Li, 2021. "Emerging social brain: A collective self-motivated Boltzmann machine," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    8. Tao, Yong, 2021. "Boltzmann-like income distribution in low and middle income classes: Evidence from the United Kingdom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).

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