So, looks like happiness goes roughly as log(Dollars) - to some base.
It's worth expounding to the non math-heads just exactly how impactful this conclusion is.
1. It explains why Musk, Trump etc. will * never be satisfied*
1.a. so stop trying to humour them
2. It provides an extremely fast moving function for how overall happiness can be massively improved versus dollar redistribution.
2.a. I leave the closed form solution to the audience as an exercise
(try again without egregious mathematical flub)