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Wealth disparities and economic flow: Assessment using an asset exchange model with the surplus stock of the wealthy

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  • Takeshi Kato
  • Yoshinori Hiroi

Abstract

How can we limit wealth disparities while stimulating economic flows in sustainable societies? To examine the link between these concepts, we propose an econophysics asset exchange model with the surplus stock of the wealthy. The wealthy are one of the two exchange agents and have more assets than the poor. Our simulation model converts the surplus contribution rate of the wealthy to a new variable parameter alongside the saving rate and introduces the total exchange (flow) and rank correlation coefficient (metabolism) as new evaluation indexes, adding to the Gini index (disparities), thereby assessing both wealth distribution and the relationships among the disparities, flow, and metabolism. We show that these result in a gamma-like wealth distribution, and our model reveals a trade-off between limiting disparities and vitalizing the market. To limit disparities and increase flow and metabolism, we also find the need to restrain savings and use the wealthy surplus stock. This relationship is explicitly expressed in the new equation introduced herein. The insights gained by uncovering the root of disparities may present a persuasive case for investments in social security measures or social businesses involving stock redistribution or sharing.

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  • 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.
    • Handle: RePEc:arx:papers:2108.07888
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    References listed on IDEAS

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    1. Greg Kaplan & Giovanni L. Violante & Justin Weidner, 2014. "The Wealthy Hand-to-Mouth," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 45(1 (Spring), pages 77-153.
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    3. repec:cup:buetqu:v:28:y:2018:i:04:p:v-vi_00 is not listed on IDEAS
    4. 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.
    5. Arnab Chatterjee & Bikas K. Chakrabarti & S. S. Manna, 2003. "Pareto Law in a Kinetic Model of Market with Random Saving Propensity," Papers cond-mat/0301289, arXiv.org, revised Jan 2004.
    6. Greg Kaplan & Giovanni L. Violante & Justin Weidner, 2014. "The Wealthy Hand-to-Mouth," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 77-153.
    7. Takeshi Kato & Yasuyuki Kudo & Hiroyuki Mizuno & Yoshinori Hiroi, 2020. "Regional Inequality Simulations Based on Asset Exchange Models with Exchange Range and Local Support Bias," Applied Economics and Finance, Redfame publishing, vol. 7(5), pages 10-23, September.
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    9. 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.
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    12. 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.
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    Cited by:

    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.
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    3. Takeshi Kato & Mohammad Rezoanul Hoque, 2024. "Wealth inequality and utility: Effect evaluation of redistribution and consumption morals using macro-econophysical coupled approach," Papers 2405.13341, arXiv.org.
    4. Maslina Mansor & Mohamad Fazli Sabri & Mustazar Mansur & Muslimah Ithnin & Amirah Shazana Magli & Abd Rahim Husniyah & Nurul Shahnaz Mahdzan & Mohd Amim Othman & Roza Hazli Zakaria & Nurulhuda Mohd Sa, 2022. "Analysing the Predictors of Financial Stress and Financial Well-Being among the Bottom 40 Percent (B40) Households in Malaysia," IJERPH, MDPI, vol. 19(19), pages 1-23, September.
    5. Takeshi Kato, 2022. "Wealth Redistribution and Mutual Aid: Comparison using Equivalent/Nonequivalent Exchange Models of Econophysics," Papers 2301.00091, arXiv.org.

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