I went a little further and ran a simulation [^1] with random payments in the range from $1 to a fixed percentage of the payer's wealth.
When this percentage is in the range 2-10%, the wealth inequality is significantly smaller than in the base case (i.e. all payments are $1). Then it starts growing again.
When this percentage is in the range 2-10%, the wealth inequality is significantly smaller than in the base case (i.e. all payments are $1). Then it starts growing again.
[^1]: https://gist.github.com/lou1306/1041ed6cd4eed433cfabf45f666b...