To gain insights into the regional inequality problem, we proposed new regional asset exchange models based on existing kinetic income-exchange models in economic physics by setting spatial exchange range and adding bias to asset fraction probability in equivalent exchanges. Simulations of asset distribution and Gini coefficients showed that suppressing regional inequality requires, first, increasing the intra-regional economic circulation rate, and, second, narrowing down the exchange range (inter-regional economic zone). Avoiding overconcentration of assets due to repeated exchanges, however, requires, thirdly, adding local support bias (distribution norm). A comprehensive solution incorporating these three measures enabled shifting the asset distribution from overconcentration to exponential distribution, eventually approaching the normal distribution and further reducing the Gini coefficient. Going forward, we will further expand the models by setting production capacity based on assets, path dependency on two-dimensional space, and bias according to disparity, and verify measures to reduce regional inequality in actual communities.
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