Ok, I have more questions than solutions really, my thoughts about this are quite simple as math has never been my strongest point to be honest:
How does exactly this encourage to raise to higher tiers?, you would have a fixed pool that I'm guessing it's always higher in the top right?. But, would be profitable for guilds winning 50% of the matches?, instead of those winning 80% in a lower tier?, also, if I'm not wrong this would nullify the utility of the current Arena, as now has influence in the amount of crowns that are in play in a certain group?. Or it's added up on top of the arena bonuses?.
I Like the option of a formula with a logarithmic grow, Kalkulus's suggestion seem also quite nice, maybe this would be fairer but I'm guessing that we could extrapolate this examples to a current brawls to see their results that would have with these formulas.
Because for not math nerds as me it's quite difficult to see how this would play out, and I'm guessing that there is people not commenting just because it's hard to understand for them.
So an example extrapolating this to one real brawl could convince people to vote a potential proposal.
Lets take this brawl as an example to calculate the new rewards:
https://splex.gg/guilds/f1840e0d297c7a6aaf4fbb9dd68dd88d2b60af2c/brawl/GUILD-BC184-BL78-BRAWL2
To set the scale of the new function I took the total crown payout with the old system and divided by number of guilds (that gives roughly 100 crowns). Then the new function is crowns(x) = 200*(1+tanh((x-50)/25.))/2.). So with this function, the maximum payout for this Tier 4 brawl would be 200 crowns, and the payout at 50% winrate is 100 crowns.
Comparing the old and new crown payouts:
I hope that makes it a little easier to grasp.
It does!, ty very much.
Thank you very much for feedback!
I'm not exactly a math guru either and I agree, it's hard to grasp without seeing the numbers, that's why I tried to give some simple examples.
I hope to collect more feedback for another day or two and then try to come up with an actual formula with the help of @kalkulus and then pitch it to Cryptomancer and Yabapmatt. Best case they'd be willing to work out the exact numbers together.
You are correct about the Arena, though, we will have to figure out how that's going to work with the potential new system. Maybe it could be linked to the flat bonus for playing in higher tiers.
Frankly, I think it won't be easy to come up with an ideal solution, but I feel like we need to figure things out or this is going to haunt us for years to come.