论文标题

隔离对财富交换动力学模型中不平等的影响

Effect of segregation on inequality in kinetic models of wealth exchange

论文作者

Fernandes, Lennart, Tempere, Jacques

论文摘要

财富和收入的经验分布可以使用基于简化的基于代理的经济相互作用模型来复制,类似于气体颗粒的微观碰撞。在这些自由相互作用的代理的模型的基础上,我们探索了一个隔离的经济网络的效果,在该网络中,相互作用的相互作用仅限于类似财富的代理之间的效果。在2D格子上的代理商与最近的邻居进行了动力学交流,同时不断切换位置以最大程度地减少当地财富差异。空间集中的财富浓缩导致稳定状态,全球不平等的增加,而在局部和全球的贫困措施之间进行了放大的区别。个人储蓄倾向在隔离经济中证明是无效的,而再分配税收超越了空间不均匀性,并大大减少了不平等。在隔离动力学上增加了波动,我们观察到在临界温度下向降低不平等的急剧过渡,并伴随着富裕精英的分布突然变化。

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we explore the effect of a segregated economic network in which interactions are restricted to those between agents of similar wealth. Agents on a 2D lattice undergo kinetic exchanges with their nearest neighbours, while continuously switching places to minimize local wealth differences. A spatial concentration of wealth leads to a steady state with increased global inequality and a magnified distinction between local and global measures of combatting poverty. Individual saving propensity proves ineffective in the segregated economy, while redistributive taxation transcends the spatial inhomogeneity and greatly reduces inequality. Adding fluctuations to the segregation dynamics, we observe a sharp phase transition to lower inequality at a critical temperature, accompanied by a sudden change in the distribution of the wealthy elite.

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