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Wealth Redistribution and Mutual Aid: Comparison using Equivalent/Nonequivalent Exchange Models of Econophysics

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  • Takeshi Kato

Abstract

Given the wealth inequality worldwide, there is an urgent need to identify the mode of wealth exchange through which it arises. To address the research gap regarding models that combine equivalent exchange and redistribution, this study compares an equivalent market exchange with redistribution based on power centers and a nonequivalent exchange with mutual aid using the Polanyi, Graeber, and Karatani modes of exchange. Two new exchange models based on multi-agent interactions are reconstructed following an econophysics approach for evaluating the Gini index (inequality) and total exchange (economic flow). Exchange simulations indicate that the evaluation parameter of the total exchange divided by the Gini index can be expressed by the same saturated curvilinear approximate equation using the wealth transfer rate and time period of redistribution and the surplus contribution rate of the wealthy and the saving rate. However, considering the coercion of taxes and its associated costs and independence based on the morality of mutual aid, a nonequivalent exchange without return obligation is preferred. This is oriented toward Graeber's baseline communism and Karatani's mode of exchange D, with implications for alternatives to the capitalist economy.

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  • Takeshi Kato, 2022. "Wealth Redistribution and Mutual Aid: Comparison using Equivalent/Nonequivalent Exchange Models of Econophysics," Papers 2301.00091, arXiv.org.
    • Handle: RePEc:arx:papers:2301.00091
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    1. Takeshi Kato, 2022. "Islamic and capitalist economies: Comparison using econophysics models of wealth exchange and redistribution," Papers 2206.05443, arXiv.org, revised Sep 2022.
    2. Kemp, Jordan T. & Bettencourt, Luís M.A., 2022. "Statistical dynamics of wealth inequality in stochastic models of growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    4. Aktaev, Nurken E. & Bannova, K.A., 2022. "Mathematical modeling of probability distribution of money by means of potential formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).
    5. A. Chatterjee & B. K. Chakrabarti, 2007. "Kinetic exchange models for income and wealth distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 135-149, November.
    6. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2010. "Statistical theories of income and wealth distribution," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-31.
    7. Tahsin Saadi Sedik & Rui Xu, 2020. "A Vicious Cycle: How Pandemics Lead to Economic Despair and Social Unrest," IMF Working Papers 2020/216, International Monetary Fund.
    8. Sebastian Guala, 2009. "Taxes in a Wealth Distribution Model by Inelastically Scattering of Particles," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 7(1), pages 1-7.
    9. Shinsuke Nagaoka, 2018. "The Future of Capitalism and the Islamic Economy," Creative Economy, in: Stomu Yamash’ta & Tadashi Yagi & Stephen Hill (ed.), The Kyoto Manifesto for Global Economics, chapter 0, pages 395-415, Springer.
    10. Takeshi Kato & Yoshinori Hiroi, 2021. "Wealth disparities and economic flow: Assessment using an asset exchange model with the surplus stock of the wealthy," Papers 2108.07888, arXiv.org, revised Nov 2021.
    11. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2009. "Microeconomics of the ideal gas like market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4151-4158.
    12. Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
    13. Anirban Chakraborti, 2002. "Distributions Of Money In Model Markets Of Economy," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(10), pages 1315-1321.
    14. Ribeiro,Marcelo Byrro, 2020. "Income Distribution Dynamics of Economic Systems," Cambridge Books, Cambridge University Press, number 9781107092532, October.
    15. Anirban Chakraborti & Bikas K. Chakrabarti, 2000. "Statistical mechanics of money: How saving propensity affects its distribution," Papers cond-mat/0004256, arXiv.org, revised Jun 2000.
    16. Lima, Hugo & Vieira, Allan R. & Anteneodo, Celia, 2022. "Nonlinear redistribution of wealth from a stochastic approach," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    17. Takeshi Kato & Yasuyuki Kudo & Hiroyuki Mizuno & Yoshinori Hiroi, 2020. "Regional Inequality Simulations Based on Asset Exchange Models with Exchange Range and Local Support Bias," Papers 2002.09272, arXiv.org, revised Jul 2020.
    18. E. Wesley F. Peterson, 2017. "Is Economic Inequality Really a Problem? A Review of the Arguments," Social Sciences, MDPI, vol. 6(4), pages 1-25, December.
    19. J. R. Iglesias, 2010. "How simple regulations can greatly reduce inequality," Papers 1007.0461, arXiv.org, revised Jul 2010.
    20. A. Chakraborti & B.K. Chakrabarti, 2000. "Statistical mechanics of money: how saving propensity affects its distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 17(1), pages 167-170, September.
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