富人是不同的！：资产交换模型中非对称交互作用的帕累托定律
The Rich Are Different!: Pareto Law from asymmetric interactions in asset exchange models
摘要：
众所周知，代理之间具有对称交互的资产交换模型显示代理之间的资产的吉布斯/对数正态分布或整个财富在单个代理手中的凝聚，这取决于交换规则。在这里，我们探讨了在具有不同财富的代理人之间的相互作用中引入不对称性的影响（即，富人的行为与穷人不同）。这可以以几种方式实现：例如，(1)在交换互动期间从一个代理转移到另一个代理的净财富量，或者（2）从交换互动中获得与损失净财富量的概率。我们建议，在一般情况下，引入不对称导致帕累托样的权力法律分配的财富。
英文摘要：
It is known that asset exchange models with symmetric interaction between agents show either a Gibbs/log-normal distribution of assets among the agents or condensation of the entire wealth in the hands of a single agent, depending upon the rules of exchange. Here we explore the effects of introducing asymmetry in the interaction between agents with different amounts of wealth (i.e., the rich behave differently from the poor). This can be implemented in several ways: e.g., (1) in the net amount of wealth that is transferred from one agent to another during an exchange interaction, or (2) the probability of gaining vs. losing a net amount of wealth from an exchange interaction. We propose that, in general, the introduction of asymmetry leads to Pareto-like power law distribution of wealth.
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