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:
| Guild | Win Percentage | Old Crowns | New Crowns |
|---|---|---|---|
| The Guild of Neoxian | 82 | 207 | 186 |
| PeakMonsters Pirates | 57 | 142 | 126 |
| YGG Brawlers (Ásgard) | 55 | 121 | 120 |
| ✨[RKO] Outta Nowhere 🧨 | 55 | 104 | 120 |
| Team Rocket | 44 | 83 | 77 |
| Roaring Twenties | 38 | 71 | 55 |
| Praetorian Pandas | 31 | 58 | 36 |
| 第一公會 #1 GUILD | 30 | 57 | 34 |
| Immortal Phoenix | 10 | 19 | 8 |
I hope that makes it a little easier to grasp.
It does!, ty very much.