选择性互动在财富分配中的作用
Role of Selective Interaction in Wealth Distribution
摘要：
在我们的简化描述中，“财富”就是金钱（$m$）。研究了一种类似气体的货币模型的动力学理论，其中两个代理人选择性地相互作用（交易），并在他们之间交换一定数量的货币，使得他们的货币总和不变，从而所有代理人的总货币保持守恒。单个货币的概率分布（$P(m)$ vs. $m$）被认为受到某些选择性相互作用方式的影响。分布偏离玻尔兹曼-吉布斯指数分布，在某些情况下，分布出现幂律尾部，称为帕累托定律（$P(m) \propto m^{-(1+α)}$）。幂律在其他一些密切相关的守恒和离散模型中也得到了观察。讨论提供了数值支持，有一个挖掘到出现的幂律在这样的模型。
英文摘要：
In our simplified description `wealth' is money ($m$). A kinetic theory of gas like model of money is investigated where two agents interact (trade) selectively and exchange some amount of money between them so that sum of their money is unchanged and thus total money of all the agents remains conserved. The probability distributions of individual money ($P(m)$ vs. $m$) is seen to be influenced by certain ways of selective interactions. The distributions shift away from Boltzmann-Gibbs like exponential distribution and in some cases distributions emerge with power law tails known as Pareto's law ($P(m) \propto m^{-(1+α)}$). Power law is also observed in some other closely related conserved and discrete models. A discussion is provided with numerical support to have a dig into the emergence of power laws in such models.
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