Ideal Gas-Like Distributions in Economics: Effects of Saving Propensity

Ideal Gas-Like Distributions in Economics: Effects of Saving Propensity
复制标题

经济学中的理想类气体分布：储蓄倾向的影响

DOI：
--
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Arnab Chatterjee
Arnab Chatterjee
中科院分区：
--
文献类型：
--
作者：
B. Chakrabarti;Arnab Chatterjee

文献摘要

被引文献

相似文献

我们考虑交易市场的理想气体模型，其中每个代理都用气体分子来标识，并且每次交易都是弹性或货币守恒（二体）碰撞。与理想气体不同，我们引入了代理的储蓄倾向 $lambda$，这样每个代理都会保存其资金的一小部分 $lambda$ 并与其余部分进行交易。我们证明，当 $lambda=0$ 时，市场中的稳态货币或财富分布是吉布斯式的，对于 $lambda 有一个不消失的最可能值 当 $lambda$ 广泛分布在代理之间时，e 0$ 和帕累托式。我们将这些结果与对各国财富分布的观察结果进行比较。
We consider the ideal-gas models of trading markets, where each agent is identified with a gas molecule and each trading as an elastic or money-conserving (two-body) collision. Unlike in the ideal gas, we introduce saving propensity $lambda$ of agents, such that each agent saves a fraction $lambda$ of its money and trades with the rest. We show the steady-state money or wealth distribution in a market is Gibbs-like for $lambda=0$, has got a non-vanishing most-probable value for $lambda e 0$ and Pareto-like when $lambda$ is widely distributed among the agents. We compare these results with observations on wealth distributions of various countries.