AI summary · arXiv: 2301.00091v1 · econ.TH

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

Takeshi Kato
Original paper · DOI 10.3390/e25020224 Submitted to arXiv on 31 Dec. 2022 Entropy 2023, 25(2), 224 17 pages, 1 table, 7 figures License: CC BY-NC-SA 4.0

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The essentials

  • Historian Sheidel has observed that economic inequality decreases during times of wars, revolutions, collapse of states, and epidemics
  • Current crises such as COVID-19 pandemic, war in Ukraine, and natural disasters caused by global warming may accelerate the arrival of a new mode of exchange and facilitate the transition from a capitalist economy to alternatives suggested by Graeber and Karatani
  • This study compares an equivalent market exchange with redistribution based on power centers and a nonequivalent exchange with mutual aid using Polanyi, Graeber, and Karatani modes of exchange
  • The simulations indicate that the evaluation parameter of total exchange divided by Gini index can be expressed by the same saturated curvilinear approximate equation using transfer rate and time period of redistribution along with surplus contribution rate of wealthy individuals and saving rate
  • A nonequivalent exchange without return obligation is preferred due to coercion associated with taxes and independence based on morality of mutual aid. This aligns with Graeber's baseline communism and Karatani's mode of exchange D while also having implications for alternatives to capitalist economy.
  • Limitations include setting transfer rates uniformly across all agents in equivalent market exchanges model (EX) or setting surplus contribution rates uniformly across all agents in nonequivalent exchanges model (NX)
  • Future analytical studies should consider different transfer rates based on social security programs or varying surplus contribution rates according to ability/needs. Empirical studies are needed to examine real-world evidence.
  • Future studies could consider redistribution/mutual aid of interest/profit-loss for wealthy/poor individuals using non-conservative models such as those introduced by Kato in comparison of Islamic and capitalist economies.
  • Other models such as potential function-based probability distributions for income/expenditure or population dynamics-based time developments for growth/inequality could be explored. Non-conservative models must consider resource limits' constraints however eventually returning to a conservative model primarily based on exchange.

Key points written by AI: they may contain errors, check them against the paper.

AI-generated keywords: Redistribution Mutual Aid Wealth Inequality Exchange Models Econophysics

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  • Original abstract
Historian Sheidel has observed that throughout human history, economic inequality has decreased in times of wars, revolutions, collapse of states, and epidemics. Currently, the world is facing various crises such as the COVID-19 pandemic, war in Ukraine, and natural disasters caused by global warming. While these crises are unfortunate, they may accelerate the arrival of a new mode of exchange and facilitate the transition from a capitalist economy to alternatives suggested by Graeber and Karatani. To address the urgent need to identify the mode of wealth exchange through which worldwide wealth inequality arises, this study compares an equivalent market exchange with redistribution based on power centers and a nonequivalent exchange with mutual aid using Polanyi, Graeber, and Karatani modes of exchange. The study reconstructs two new exchange models based on multi-agent interactions following an econophysics approach for evaluating inequality (Gini index) and economic flow (total exchange). The simulations indicate that the evaluation parameter of total exchange divided by Gini index can be expressed by the same saturated curvilinear approximate equation using transfer rate and time period of redistribution along with surplus contribution rate of wealthy individuals and saving rate. However, considering coercion associated with taxes and independence based on morality of mutual aid, a nonequivalent exchange without return obligation is preferred. This aligns with Graeber's baseline communism and Karatani's mode of exchange D while also having implications for alternatives to capitalist economy. While this study provides valuable insights into general trends in redistribution and mutual aid models for addressing wealth inequality issues worldwide; it has limitations such as setting transfer rates uniformly across all agents in equivalent market exchanges model (EX) or setting surplus contribution rates uniformly across all agents in nonequivalent exchanges model (NX). Future analytical studies should consider different transfer rates based on social security programs or varying surplus contribution rates according to ability/needs. Moreover, empirical studies are needed to examine real-world evidence of the relationship between economic flow and Gini index with respect to tax rate/frequency for EX model and stock/surplus contribution of wealthy individuals for NX model. Additionally, this study uses a conservative model that only deals with exchange and not production/consumption or interest/profit-loss in real-world economy. Future studies could consider redistribution/mutual aid of interest/profit-loss for wealthy/poor individuals using non-conservative models such as those introduced by Kato in comparison of Islamic and capitalist economies. Finally, while this study used a kinetic energy exchange analogy-based model there are other models such as potential function-based probability distributions for income/expenditure or population dynamics-based time developments for growth/inequality that future research could explore. Non-conservative models must consider resource limits' constraints however eventually returning to a conservative model primarily based on exchange.

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