> ... so far I found out that looking at it as a chaotic thermodynamic-like system makes the most sense.

What do you mean, you found that out? And what does that have to do with anything?

> So in regards to this economic issue, it seems that human personality traits that lead to disproportionate power/influence/money are distributed non-uniformly to an extreme extent.

To me, that doesn't sound like an observation, but rather an interpretation. We could apply various epistemological carpet beaters to see what remains. One would be the critique of ideology. A few others can be found in the philosophy of science. It also seems to contradict your reference to thermodynamics. Wouldn't that mean that personality traits don't play a role at all? We don't look at individual particles, and certainly not at their personality traits.

> Humans themselves are a specie with disproportionate power & influence compared to other species, so I think it would only make sense if this trait would also apply within the specie.

I cannot understand this conclusion at all. Why should the structural relationship to other species be reflected within the species itself?