Ok, I was inspired to do dumb things to try to convert a MU chart (from Yomi Matchup Chart) into a tier list (in a principled way). A thought I had was: hey, if I had the Nash equilibrium of the opening blind pick, that might tell me something, right? The character that gets picked most is likely high-tier?
Turns out, @scymrian’s detective work/memory of the good-old-days brought up a similar thought experiment run by our man @deluks917, so I present both here for comparison.
First, @deluks917 based his analysis on the Princess Power MU chart.
PPMU
Arg | BBB | Degrey | Geiger | Gloria | Grave | Gwen | Jaina | Lump | Mene | Midori | Oni | Perse | Quince | Rook | Sets | Troq | Val | Ven | Zane | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Arg | 5 | 6 | 5 | 4.5 | 3.5 | 6 | 5.5 | 6 | 6.5 | 5.5 | 5 | 7 | 4 | 4.5 | 5 | 4.5 | 4 | 4.5 | 4.5 | 4 |
BBB | 4 | 5 | 4.5 | 4 | 4 | 4 | 4 | 4 | 3.5 | 4 | 6.5 | 4.5 | 6 | 5.5 | 6.5 | 4.5 | 5.5 | 4 | 5 | 4.5 |
Degrey | 5 | 5.5 | 5 | 5 | 6 | 6 | 5.5 | 5.5 | 6 | 6 | 6 | 7 | 4.5 | 4 | 6 | 5 | 4.5 | 6 | 5.5 | 4 |
Geiger | 5.5 | 6 | 5 | 5 | 5 | 4.5 | 4.5 | 6 | 5 | 4.5 | 7 | 5 | 4.5 | 7 | 6.5 | 4.5 | 6 | 5.5 | 4.5 | 4 |
Gloria | 6.5 | 6 | 4 | 5 | 5 | 4.5 | 5.5 | 5.5 | 4 | 4.5 | 4.5 | 5.5 | 4 | 5.5 | 4.5 | 4 | 4 | 4 | 5.5 | 3.5 |
Grave | 4 | 6 | 4 | 5.5 | 5.5 | 5 | 5.5 | 6 | 5.5 | 5.5 | 5.5 | 5 | 5.5 | 4.5 | 5.5 | 5.5 | 4.5 | 6 | 6 | 5.5 |
Gwen | 4.5 | 6 | 4.5 | 5.5 | 4.5 | 4.5 | 5 | 5.5 | 4 | 5 | 4.5 | 4.5 | 6.5 | 4.5 | 5.5 | 4.5 | 4 | 4 | 6 | 4.5 |
Jaina | 4 | 6 | 4.5 | 4 | 4.5 | 4 | 4.5 | 5 | 4 | 4.5 | 5.5 | 4.5 | 5.5 | 6 | 5.5 | 4.5 | 5.5 | 5.5 | 5 | 4 |
Lump | 3.5 | 6.5 | 4 | 5 | 6 | 4.5 | 6 | 6 | 5 | 4.5 | 5.5 | 5.5 | 4.5 | 5.5 | 6 | 5.5 | 6 | 5 | 6.5 | 5 |
Mene | 4.5 | 6 | 4 | 5.5 | 5.5 | 4.5 | 5 | 5.5 | 5.5 | 5 | 4 | 4.5 | 5.5 | 6 | 4 | 4.5 | 4 | 4 | 5 | 4 |
Midori | 5 | 3.5 | 4 | 3 | 5.5 | 4.5 | 5.5 | 4.5 | 4.5 | 6 | 5 | 4 | 6 | 4 | 4.5 | 6 | 5.5 | 4.5 | 5 | 4 |
Oni | 3 | 5.5 | 3 | 5 | 4.5 | 5 | 5.5 | 5.5 | 4.5 | 5.5 | 6 | 5 | 4.5 | 4 | 6 | 6 | 5.5 | 6 | 5 | 6 |
Perse | 6 | 4 | 5.5 | 5.5 | 6 | 4.5 | 3.5 | 4.5 | 5.5 | 4.5 | 4 | 5.5 | 5 | 5.5 | 4.5 | 3.5 | 4 | 4 | 4.5 | 4 |
Quince | 5.5 | 4.5 | 6 | 3 | 4.5 | 5.5 | 5.5 | 4 | 4.5 | 4 | 6 | 6 | 4.5 | 5 | 4.5 | 4.5 | 4.5 | 5 | 4.5 | 4 |
Rook | 5 | 3.5 | 4 | 3.5 | 5.5 | 4.5 | 4.5 | 4.5 | 4 | 6 | 5.5 | 4 | 5.5 | 5.5 | 5 | 5.5 | 5 | 4.5 | 4 | 6 |
Setsuki | 5.5 | 5.5 | 5 | 5.5 | 6 | 4.5 | 5.5 | 5.5 | 4.5 | 5.5 | 4 | 4 | 6.5 | 5.5 | 4.5 | 5 | 4 | 5 | 6 | 4.5 |
Troq | 6 | 4.5 | 5.5 | 4 | 6 | 5.5 | 6 | 4.5 | 4 | 6 | 4.5 | 4.5 | 6 | 5.5 | 5 | 6 | 5 | 6 | 6 | 6.5 |
Val | 5.5 | 6 | 4 | 4.5 | 6 | 4 | 6 | 4.5 | 5 | 6 | 5.5 | 4 | 6 | 5 | 5.5 | 5 | 4 | 5 | 6.5 | 5 |
Ven | 5.5 | 5 | 4.5 | 5.5 | 4.5 | 4 | 4 | 5 | 3.5 | 5 | 5 | 5 | 5.5 | 5.5 | 6 | 4 | 4 | 3.5 | 5 | 4.5 |
Zane | 6 | 5.5 | 6 | 6 | 6.5 | 4.5 | 5.5 | 6 | 5 | 6 | 6 | 4 | 6 | 6 | 4 | 5.5 | 3.5 | 5 | 5.5 | 5 |
Using that, he produced two interesting outcomes. First, a list of optimal counterpicks, depending on the match position (how many wins are still required by each player, and who is doing the counterpicking).
Optimal Counterpicks
char to CP | 1 vs 1 | 1 vs 2 | 1 vs 3 | 2 vs 2 | 1 vs 4 | 2 vs 3 | 3 vs 2 | 2 vs 4 | 3 vs 3 (g1 bo5) | 3 vs 4 | 4 vs 4 (g1 bo7) |
---|---|---|---|---|---|---|---|---|---|---|---|
Arg | Gloria | Troq | Troq | Gloria | Troq | Gloria | Gloria | Gloria | Gloria | Gloria | Gloria |
BBB | Lump | Geiger | Geiger | Lump | Geiger | Geiger | Lump | Geiger | Geiger | Geiger | Geiger |
Degrey | Quince | Troq | Troq | Zane | Troq | Zane | Zane | Degrey | Zane | Zane | Zane |
Geiger | Zane | Grave | Grave | Zane | Grave | Gwen | Zane | Gwen | Zane | Zane | Zane |
Gloria | Zane | Degrey | Degrey | Zane | Degrey | Degrey | Zane | Degrey | Degrey | Degrey | Zane |
Grave | Arg | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey |
Gwen | Lump | Troq | Troq | Lump | Troq | Degrey | Lump | Degrey | Degrey | Degrey | Troq |
Jaina | Arg | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger |
Lump | Arg | Degrey | Degrey | Arg | Degrey | Degrey | Arg | Degrey | Degrey | Degrey | Arg |
Mene | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey |
Midori | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger |
Oni | Arg | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey |
Perse | Gwen | Gwen | Gwen | Gwen | Gwen | Gwen | Gwen | Gwen | Sets | Sets | Sets |
Quince | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger |
Rook | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger |
Setsuki | Midori | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Troq | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger | Geiger |
Val | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey | Degrey |
Ven | Lump | Val | Val | Lump | Val | Val | Lump | Val | Lump | Sets | Sets |
Zane | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Definition:
- N vs M means the winner of the last game still has to win M games and the loser of the last game still has to win N. So 1 vs 2 gives the optimal cp in game2 of a bo3
- The counterpicking player is the SECOND number
- The algorinithm breaks ties by alphabetical order
- The results for N vs 1 are the same as 1 vs 1
And, the Nash-equilibrium (optimal mixed strategy) for the initial double-blind pick in a std-counterpick tournament.
Nash
Bo7 g1 Nash | bo5 g1 nash | bo3 g1 Nash | |||||
---|---|---|---|---|---|---|---|
Arg | 0 | Arg | 0 | Arg | 0 | ||
BBB | 0 | BBB | 0 | BBB | 0 | ||
Degrey | 0.07192 | Degrey | 0.07808 | Degrey | 0.15248 | ||
Geiger | 0.29723 | Geiger | 0.34951 | Geiger | 0.367 | ||
Gloria | 0 | Gloria | 0 | Gloria | 0 | ||
Grave | 0.09454 | Grave | 0.12073 | Grave | 0.13853 | ||
Gwen | 0 | Gwen | 0 | Gwen | 0 | ||
Jaina | 0 | Jaina | 0 | Jaina | 0 | ||
Lump | 0.04147 | Lump | 0 | Lump | 0 | ||
Mene | 0 | Mene | 0 | Mene | 0 | ||
Midori | 0 | Midori | 0 | Midori | 0 | ||
Oni | 0 | Oni | 0 | Oni | 0 | ||
Perse | 0 | Perse | 0 | Perse | 0 | ||
Quince | 0 | Quince | 0 | Quince | 0 | ||
Rook | 0 | Rook | 0 | Rook | 0 | ||
Setsuki | 0.09471 | Setsuki | 0 | Setsuki | 0 | ||
Troq | 0.17621 | Troq | 0.13513 | Troq | 0.13853 | ||
Val | 0 | Val | 0 | Val | 0 | ||
Ven | 0 | Ven | 0 | Ven | 0 | ||
Zane | 0.22392 | Zane | 0.31655 | Zane | 0.20346 |
Now, my results for the same:
YS MU
Arg | BBB | DeGrey | Geiger | Gloria | Grave | Gwen | Jaina | Lum | Menelker | Midori | Oni | Pers | Quince | Rook | Sets | Troq | Val | Ven | Zane | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Argagarg | 5.0 | 4.2 | 4.7 | 5.0 | 4.1 | 5.4 | 6.1 | 6.7 | 6.1 | 5.3 | 5.5 | 6.4 | 4.9 | 3.9 | 5.9 | 5.3 | 4.9 | 5.4 | 4.5 | 4.3 |
BBB | 5.8 | 5.0 | 4.1 | 3.8 | 5.7 | 4.0 | 4.6 | 4.6 | 4.8 | 5.0 | 5.7 | 3.9 | 5.5 | 5.7 | 5.6 | 4.9 | 5.7 | 5.1 | 5.3 | 3.9 |
DeGrey | 5.3 | 5.9 | 5.0 | 4.9 | 5.4 | 4.8 | 5.5 | 5.6 | 6.6 | 6.1 | 5.7 | 6.5 | 5.2 | 5.2 | 5.4 | 4.5 | 4.3 | 6.0 | 4.2 | 4.7 |
Geiger | 5.0 | 6.2 | 5.1 | 5.0 | 5.6 | 4.2 | 4.9 | 6.7 | 5.1 | 4.5 | 5.8 | 5.4 | 4.7 | 5.7 | 5.3 | 5.3 | 5.5 | 5.6 | 4.5 | 4.2 |
Gloria | 5.9 | 4.3 | 4.6 | 4.4 | 5.0 | 5.7 | 4.7 | 4.2 | 5.0 | 5.3 | 3.2 | 5.0 | 4.7 | 5.8 | 5.5 | 5.5 | 4.2 | 4.7 | 5.9 | 3.8 |
Grave | 4.6 | 6.0 | 5.2 | 5.8 | 4.3 | 5.0 | 6.0 | 5.2 | 4.3 | 5.1 | 4.5 | 5.1 | 4.3 | 4.2 | 5.4 | 5.4 | 4.8 | 5.2 | 5.9 | 4.4 |
Gwen | 3.9 | 5.4 | 4.5 | 5.1 | 5.3 | 4.0 | 5.0 | 5.4 | 3.6 | 5.4 | 4.6 | 4.1 | 5.7 | 5.9 | 4.5 | 5.5 | 3.6 | 5.5 | 5.1 | 4.5 |
Jaina | 3.3 | 5.4 | 4.4 | 3.3 | 5.8 | 4.8 | 4.6 | 5.0 | 3.2 | 4.1 | 5.5 | 4.2 | 5.6 | 5.5 | 3.8 | 4.4 | 5.9 | 5.7 | 3.7 | 3.6 |
Lum | 3.9 | 5.2 | 3.4 | 4.9 | 5.0 | 5.7 | 6.4 | 6.8 | 5.0 | 4.4 | 5.0 | 5.3 | 5.8 | 5.6 | 5.9 | 5.5 | 5.2 | 5.5 | 4.5 | 5.3 |
Menelker | 4.7 | 5.0 | 3.9 | 5.5 | 4.7 | 4.9 | 4.6 | 5.9 | 5.6 | 5.0 | 5.0 | 3.9 | 5.0 | 5.2 | 4.5 | 4.4 | 4.5 | 5.1 | 5.3 | 4.2 |
Midori | 4.5 | 4.3 | 4.3 | 4.2 | 6.8 | 5.5 | 5.4 | 4.5 | 5.0 | 5.0 | 5.0 | 4.8 | 5.3 | 5.9 | 5.8 | 5.2 | 5.0 | 5.3 | 5.3 | 4.5 |
Onimaru | 3.6 | 6.1 | 3.5 | 4.6 | 5.0 | 4.9 | 5.9 | 5.8 | 4.7 | 6.1 | 5.2 | 5.0 | 5.6 | 4.6 | 5.3 | 5.7 | 6.3 | 5.8 | 5.6 | 5.4 |
Persephone | 5.1 | 4.5 | 4.8 | 5.3 | 5.3 | 5.7 | 4.3 | 4.4 | 4.2 | 5.0 | 4.7 | 4.4 | 5.0 | 4.6 | 4.6 | 3.8 | 4.7 | 4.7 | 4.8 | 4.3 |
Quince | 6.1 | 4.3 | 4.8 | 4.3 | 4.2 | 5.8 | 4.1 | 4.5 | 4.4 | 4.8 | 4.1 | 5.4 | 5.4 | 5.0 | 4.0 | 5.0 | 3.7 | 5.0 | 4.5 | 4.2 |
Rook | 4.1 | 4.4 | 4.6 | 4.7 | 4.5 | 4.6 | 5.5 | 6.2 | 4.1 | 5.5 | 4.2 | 4.7 | 5.4 | 6.0 | 5.0 | 5.1 | 5.2 | 5.3 | 4.9 | 5.8 |
Setsuki | 4.7 | 5.1 | 5.5 | 4.7 | 4.5 | 4.6 | 4.5 | 5.6 | 4.5 | 5.6 | 4.8 | 4.3 | 6.2 | 5.0 | 4.9 | 5.0 | 3.9 | 4.7 | 5.4 | 4.3 |
Troq | 5.1 | 4.3 | 5.7 | 4.5 | 5.8 | 5.2 | 6.4 | 4.1 | 4.8 | 5.5 | 5.0 | 3.7 | 5.3 | 6.3 | 4.8 | 6.1 | 5.0 | 6.2 | 4.8 | 6.5 |
Valerie | 4.6 | 4.9 | 4.0 | 4.4 | 5.3 | 4.8 | 4.5 | 4.3 | 4.5 | 4.9 | 4.7 | 4.2 | 5.3 | 5.0 | 4.7 | 5.3 | 3.8 | 5.0 | 6.2 | 4.9 |
Vendetta | 5.5 | 4.7 | 5.8 | 5.5 | 4.1 | 4.1 | 4.9 | 6.3 | 5.5 | 4.7 | 4.7 | 4.4 | 5.2 | 5.5 | 5.1 | 4.6 | 5.2 | 3.8 | 5.0 | 4.7 |
Zane | 5.7 | 6.1 | 5.3 | 5.8 | 6.2 | 5.6 | 5.5 | 6.4 | 4.7 | 5.8 | 5.5 | 4.6 | 5.7 | 5.8 | 4.2 | 5.7 | 3.5 | 5.1 | 5.3 | 5.0 |
Optimal Counterpicks
1-1 | 1-2 | 1-3 | 1-4 | 2-1 | 2-2 | 2-3 | 2-4 | 3-1 | 3-2 | 3-3 | 3-4 | 4-1 | 4-2 | 4-3 | 4-4 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Argagarg | Quince | Quince | DeGrey | DeGrey | Quince | Quince | Quince | DeGrey | Quince | Quince | Quince | Quince | Quince | Quince | Quince | Quince |
BBB | Geiger | Geiger | Geiger | Geiger | Geiger | DeGrey | Grave | Grave | Geiger | Zane | Grave | Grave | Geiger | Zane | Grave | Grave |
DeGrey | Vendetta | Grave | Grave | Grave | Vendetta | Troq | Troq | Troq | Vendetta | Troq | Troq | Troq | Vendetta | Troq | Troq | Troq |
Geiger | Zane | Grave | Grave | Grave | Zane | Grave | Grave | Grave | Zane | Grave | Grave | Grave | Zane | Zane | Grave | Grave |
Gloria | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori | Midori |
Grave | Quince | Midori | Midori | Midori | Quince | Quince | Midori | Midori | Quince | Persephone | Persephone | Midori | Quince | Persephone | Persephone | Persephone |
Gwen | Troq | Grave | Grave | Grave | Troq | Troq | Troq | Grave | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Jaina | Lum | Geiger | Geiger | Geiger | Lum | Argagarg | Argagarg | Geiger | Lum | Argagarg | Argagarg | Argagarg | Lum | Argagarg | Argagarg | Argagarg |
Lum | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey |
Menelker | Onimaru | DeGrey | DeGrey | DeGrey | Onimaru | DeGrey | DeGrey | DeGrey | Onimaru | DeGrey | DeGrey | DeGrey | Onimaru | DeGrey | DeGrey | DeGrey |
Midori | Geiger | Geiger | Geiger | Geiger | Geiger | DeGrey | DeGrey | DeGrey | Geiger | DeGrey | DeGrey | DeGrey | Geiger | Geiger | DeGrey | Argagarg |
Onimaru | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | DeGrey | Argagarg | Argagarg | DeGrey | DeGrey | Argagarg | Argagarg |
Persephone | Setsuki | Setsuki | Setsuki | DeGrey | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki | Setsuki |
Quince | Troq | Midori | Midori | Midori | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Rook | Argagarg | Midori | Midori | Midori | Argagarg | Argagarg | Argagarg | Midori | Argagarg | Argagarg | Argagarg | Argagarg | Argagarg | Argagarg | Argagarg | Argagarg |
Setsuki | Troq | Grave | Grave | Grave | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Troq | Onimaru | Geiger | Geiger | Geiger | Onimaru | Onimaru | Geiger | Geiger | Onimaru | Onimaru | Onimaru | Onimaru | Onimaru | Onimaru | Onimaru | Onimaru |
Valerie | Troq | DeGrey | DeGrey | DeGrey | Troq | Troq | Troq | DeGrey | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Vendetta | Valerie | Grave | Grave | Grave | Valerie | Valerie | Grave | Grave | Valerie | Valerie | Grave | Grave | Valerie | Valerie | Valerie | Grave |
Zane | Troq | Troq | Rook | Rook | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq | Troq |
Nash
Bo7 Nash | Bo5 Nash | Bo3 Nash | |
---|---|---|---|
Argagarg | 0.119 | 0.111 | 0.215 |
BBB | 0.000 | 0.000 | 0.000 |
DeGrey | 0.000 | 0.000 | 0.000 |
Geiger | 0.204 | 0.136 | 0.140 |
Gloria | 0.000 | 0.000 | 0.000 |
Grave | 0.002 | 0.077 | 0.097 |
Gwen | 0.000 | 0.000 | 0.000 |
Jaina | 0.000 | 0.000 | 0.000 |
Lum | 0.000 | 0.000 | 0.000 |
Menelker | 0.000 | 0.000 | 0.000 |
Midori | 0.000 | 0.000 | 0.000 |
Onimaru | 0.001 | 0.038 | 0.000 |
Persephone | 0.000 | 0.000 | 0.000 |
Quince | 0.000 | 0.000 | 0.000 |
Rook | 0.000 | 0.000 | 0.000 |
Setsuki | 0.000 | 0.000 | 0.000 |
Troq | 0.675 | 0.637 | 0.495 |
Valerie | 0.000 | 0.000 | 0.000 |
Vendetta | 0.000 | 0.000 | 0.054 |
Zane | 0.000 | 0.000 | 0.000 |
Now, for those of you who TL;DR’d right over all the numbers, I’ll break it down for you: Princess Power MU chart says you should start your Bo7 with pretty even mixes of Geiger, Troq, and Zane, leaning a bit towards Geiger. The Yomi-Skill MU chart says that instead, you should have a heavy dose of Troq, with some Geiger and Arg to even things out.
Why did the math come out that way?
Change from PPMU to YSMU
Arg | BBB | DeGrey | Geiger | Gloria | Grave | Gwen | Jaina | Lum | Menelker | Midori | Oni | Pers | Quince | Rook | Sets | Troq | Val | Ven | Zane | Total Change | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Argagarg | 0 | -1.8 | -0.3 | 0.5 | 0.6 | -0.6 | 0.6 | 0.7 | -0.4 | -0.2 | 0.5 | -0.6 | 0.9 | -0.6 | 0.9 | 0.8 | 0.9 | 0.9 | 0 | 0.3 | 3.1 |
BBB | 1.8 | 0 | -0.4 | -0.2 | 1.7 | 0 | 0.6 | 0.6 | 1.3 | 1 | -0.8 | -0.6 | -0.5 | 0.2 | -0.9 | 0.4 | 0.2 | 1.1 | 0.3 | -0.6 | 5.2 |
DeGrey | 0.3 | 0.4 | 0 | -0.1 | -0.6 | -1.2 | 0 | 0.1 | 0.6 | 0.1 | -0.3 | -0.5 | 0.7 | 1.2 | -0.6 | -0.5 | -0.2 | 0 | -1.3 | 0.7 | -1.2 |
Geiger | -0.5 | 0.2 | 0.1 | 0 | 0.6 | -0.3 | 0.4 | 0.7 | 0.1 | 0 | -1.2 | 0.4 | 0.2 | -1.3 | -1.2 | 0.8 | -0.5 | 0.1 | 0 | 0.2 | -1.2 |
Gloria | -0.6 | -1.7 | 0.6 | -0.6 | 0 | 1.2 | -0.8 | -1.3 | 1 | 0.8 | -1.3 | -0.5 | 0.7 | 0.3 | 1 | 1.5 | 0.2 | 0.7 | 0.4 | 0.3 | 1.9 |
Grave | 0.6 | 0 | 1.2 | 0.3 | -1.2 | 0 | 0.5 | -0.8 | -1.2 | -0.4 | -1 | 0.1 | -1.2 | -0.3 | -0.1 | -0.1 | 0.3 | -0.8 | -0.1 | -1.1 | -5.3 |
Gwen | -0.6 | -0.6 | 0 | -0.4 | 0.8 | -0.5 | 0 | -0.1 | -0.4 | 0.4 | 0.1 | -0.4 | -0.8 | 1.4 | -1 | 1 | -0.4 | 1.5 | -0.9 | 0 | -0.9 |
Jaina | -0.7 | -0.6 | -0.1 | -0.7 | 1.3 | 0.8 | 0.1 | 0 | -0.8 | -0.4 | 0 | -0.3 | 0.1 | -0.5 | -1.7 | -0.1 | 0.4 | 0.2 | -1.3 | -0.4 | -4.7 |
Lum | 0.4 | -1.3 | -0.6 | -0.1 | -1 | 1.2 | 0.4 | 0.8 | 0 | -0.1 | -0.5 | -0.2 | 1.3 | 0.1 | -0.1 | 0 | -0.8 | 0.5 | -2 | 0.3 | -1.7 |
Menelker | 0.2 | -1 | -0.1 | 0 | -0.8 | 0.4 | -0.4 | 0.4 | 0.1 | 0 | 1 | -0.6 | -0.5 | -0.8 | 0.5 | -0.1 | 0.5 | 1.1 | 0.3 | 0.2 | 0.4 |
Midori | -0.5 | 0.8 | 0.3 | 1.2 | 1.3 | 1 | -0.1 | 0 | 0.5 | -1 | 0 | 0.8 | -0.7 | 1.9 | 1.3 | -0.8 | -0.5 | 0.8 | 0.3 | 0.5 | 7.1 |
Onimaru | 0.6 | 0.6 | 0.5 | -0.4 | 0.5 | -0.1 | 0.4 | 0.3 | 0.2 | 0.6 | -0.8 | 0 | 1.1 | 0.6 | -0.7 | -0.3 | 0.8 | -0.2 | 0.6 | -0.6 | 3.7 |
Persephone | -0.9 | 0.5 | -0.7 | -0.2 | -0.7 | 1.2 | 0.8 | -0.1 | -1.3 | 0.5 | 0.7 | -1.1 | 0 | -0.9 | 0.1 | 0.3 | 0.7 | 0.7 | 0.3 | 0.3 | 0.2 |
Quince | 0.6 | -0.2 | -1.2 | 1.3 | -0.3 | 0.3 | -1.4 | 0.5 | -0.1 | 0.8 | -1.9 | -0.6 | 0.9 | 0 | -0.5 | 0.5 | -0.8 | 0 | 0 | 0.2 | -1.9 |
Rook | -0.9 | 0.9 | 0.6 | 1.2 | -1 | 0.1 | 1 | 1.7 | 0.1 | -0.5 | -1.3 | 0.7 | -0.1 | 0.5 | 0 | -0.4 | 0.2 | 0.8 | 0.9 | -0.2 | 4.3 |
Setsuki | -0.8 | -0.4 | 0.5 | -0.8 | -1.5 | 0.1 | -1 | 0.1 | 0 | 0.1 | 0.8 | 0.3 | -0.3 | -0.5 | 0.4 | 0 | -0.1 | -0.3 | -0.6 | -0.2 | -4.2 |
Troq | -0.9 | -0.2 | 0.2 | 0.5 | -0.2 | -0.3 | 0.4 | -0.4 | 0.8 | -0.5 | 0.5 | -0.8 | -0.7 | 0.8 | -0.2 | 0.1 | 0 | 0.2 | -1.2 | 0 | -1.9 |
Valerie | -0.9 | -1.1 | 0 | -0.1 | -0.7 | 0.8 | -1.5 | -0.2 | -0.5 | -1.1 | -0.8 | 0.2 | -0.7 | 0 | -0.8 | 0.3 | -0.2 | 0 | -0.3 | -0.1 | -7.7 |
Vendetta | 0 | -0.3 | 1.3 | 0 | -0.4 | 0.1 | 0.9 | 1.3 | 2 | -0.3 | -0.3 | -0.6 | -0.3 | 0 | -0.9 | 0.6 | 1.2 | 0.3 | 0 | 0.2 | 4.8 |
Zane | -0.3 | 0.6 | -0.7 | -0.2 | -0.3 | 1.1 | 0 | 0.4 | -0.3 | -0.2 | -0.5 | 0.6 | -0.3 | -0.2 | 0.2 | 0.2 | 0 | 0.1 | -0.2 | 0 | 0 |
Well, it looks like my numbers rate Arg significantly higher across the cast (+3.1, and that includes a -1.8 shift against BBB), and DeGrey, Geiger, and Troq all a bit lower across the cast. Notably, Troq loses 0.9 against Arg, and gains 0.5 on Geiger.
I’m curious to hear what you folks see in these numbers. Is Arg being slept on? Is the Bo7 Nash actually a sane way to think about a tier list?