HF 19- The math behind upvoting

Here is a mathematical look at the implication of HF 19. Let me preface this with I do not fully understand every detail steem but I do understand math fairly well. So let’s talk about the change in the voting in math terms

1. The Red line is F(x)= x^2 (Old model)
2. The Blue line is linear, F(x) = x (HF 19)
3. The purple line is what I propose could make everyone happy, F(x) = x^1.2

It is still early to say but that what makes this fun. So we all have seen firsthand the initial ups and downs of HF 19. All those posts falling to the left of the intersecting point have moved from the much lower red to the blue which made profits a lot large. This can be seen by the increase in value of old posts. But now any votes right of that intersection point don’t have the huge exponential growth. So far the concerns have been that with the old model the little guys don’t much voting power and then on the HF 19 side there is less incentive to build masses of votes to get much higher rewards.

We will have to see how this play out to knows if its good or bad but in the meantime my thought are this. Why not have the best of both world (the purple line) lower votes have more power but there is still reward for lots of vote, thus encouraged voting. It would not have to be exactly 1.2 but maybe something along those lines.

Let me know what you think, Agree/ Disagree?