实验复现:随机交易模型与征税 - Experiment Replication: Random Trading Model and Taxation
有一个非常好玩的模拟实验:有一个房间,里面有 100 个人,每个人有 100 元。每过一会,每个有钱的人给随机的其他人 1 元,经过一段时间后,房间内的资金分配情况是怎样? Here's an interesting simulation experiment: imagine a room with 100 people, each with 100 dollars. Periodically, each money-holding individual gives 1 dollar to a random person. How will the wealth distribution in the room change over time? https://zhuanlan.zhihu.com/p/27797001?group_id=867778281376727040 https://www.youtube.com/watch?v=NLyAT_CYhZE 这本质上是一个无偏游走问题。不过因为本问题具有现实背景,所以需要考虑不同情况,这里分允许负债和不允许负债两种情况。 This essentially boils down to an unbiased random walk problem. However, since the situation has real-world implications, we need to consider different cases - specifically, ones where debt is allowed, and ones where it isn't. 首先考虑不允许负债:即当一个人的财产为0时,即宣布破产,从此不参与任何交易。我们需要做的事情很简单,假设市场上有100人,每个没有破产的人随机送给另一个没破产的人1元,重复以上的过程10000次。其代码如下: Let's first consider the scenario where debt is not permissable: if a person's wealth reaches zero, the...