So let's say 20 people, each of them starts with 20 dollars, and over time, each of them gets 5 dollars per second, and as they get their money, they randomly give 4 dollars to each other, so what's going to happen to their money? What if, as the rich (the people with the most money) increase their share of total wealth, the amount of money they receive per turn from the system also increases as their share of total wealth?

I call this the predatory effect.

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The poor get poorer and the rich get richer - 《 the Gospel of Matthew 》 It is assumed that the greater the proportion of the wealth of the rich in the total wealth, the more money they will get from the system (in the case of information asymmetry, the social resources available to each person will be different).
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Extreme poverty: