I haven’t yet gotten into any stats or modeling, just some data exploration, but there’s some things I haven’t seen mentioned elsewhere yet:
Zeroth: the rows are definitely in order! First: the arena holds regular single-elimination tournaments with 64 participants (63 total rounds) and these form contiguous blocks in the dataset with a handful of (unrelated?) bonus rounds in between. Second: Maybe the level 7 Dwarf Monk stole (won?) those +4 boots by winning a tournament (the Elf Ninja’s last use was during a final round vs that monk!) and then we acquired the boots from that monk? They appear to have upgraded their boots once before from +1 to +3 when defeating a Dwarf Ninja, though that was during a bonus round, not a tournament.
Does the fact that we see the winners of tournaments 6x more often than those eliminated in round one matter for modeling? It might; if e.g. gladiators have a hidden “skill” stat but for some reason the house champions don’t have very high skill, we’ll be implicitly significantly overestimating their hidden skill stat.
Given equal level, race, and class, regardless of gauntlets, better boots always wins, no exceptions.
A very good predictor of victory for many race/class vs race/class matchups is the difference in level+boots plus a static modifier based on your matchup. Probably when it’s not as good we should be taking into account gauntlets. But also ninjas seem to maybe just do something weird. I’m guessing a sneak attack of some sort.
Anyway just manually matching up our available gladiators yields this setup which seems extremely likely to simply win:
# Elf Knight to beat Human Warrior 9 with just 1 adv. Needs Boots 3+ # Elf Fencer to beat Human Knight 9 by a lot but gauntlets might matter. Boots +1 are fine. Send Gauntlets +2. # Human Monk to beat Elf Ninja 9 with 3 adv but gauntlets might matter. Needs Boots 2+. Send Gauntlets +3. # Human Ranger to beat Dwarf Monk 9 with just 1 adv. Needs Boots 4+
aka
Give Zelaya the +3 Boots of Speed and the +1 Gauntlets of Power and send them to fight House Adelon’s champion. Give Yalathinel the +1 Boots of Speed and the +2 Gauntlets of Power and send them to fight House Bauchard’s champion. Give Xerxes III the +2 Boots of Speed and the +3 Gauntlets of Power and send him to fight House Cadagal’s champion. Give Willow the +4 Boots of Speed and send her to fight House Deepwrack’s champion. Do not send Uzben or Varina to fight at all.
The problem is that the Elf Ninja might want their +4 Boots. Or might want us to definitely not use them. Or something. As-is, we win; if the Elf Ninja is gonna be irate afterwards maybe winning isn’t enough, but I dunno how to reliably win without using the +4 Boots. We can certainly try to schedule Willow’s fight first, then after the fight against House Cadagal we can gift the +4 Boots back. I think the only better alternative is if it turns out the Elf Ninja is actually willing to throw the match for the +4 Boots back and be friendly with us afterwards, in which case probably there are better ways to set this up.
I haven’t yet gotten into any stats or modeling, just some data exploration, but there’s some things I haven’t seen mentioned elsewhere yet:
Zeroth: the rows are definitely in order! First: the arena holds regular single-elimination tournaments with 64 participants (63 total rounds) and these form contiguous blocks in the dataset with a handful of (unrelated?) bonus rounds in between. Second: Maybe the level 7 Dwarf Monk stole (won?) those +4 boots by winning a tournament (the Elf Ninja’s last use was during a final round vs that monk!) and then we acquired the boots from that monk? They appear to have upgraded their boots once before from +1 to +3 when defeating a Dwarf Ninja, though that was during a bonus round, not a tournament.
Does the fact that we see the winners of tournaments 6x more often than those eliminated in round one matter for modeling? It might; if e.g. gladiators have a hidden “skill” stat but for some reason the house champions don’t have very high skill, we’ll be implicitly significantly overestimating their hidden skill stat.
Given equal level, race, and class, regardless of gauntlets, better boots always wins, no exceptions.
A very good predictor of victory for many race/class vs race/class matchups is the difference in level+boots plus a static modifier based on your matchup. Probably when it’s not as good we should be taking into account gauntlets. But also ninjas seem to maybe just do something weird. I’m guessing a sneak attack of some sort.
Anyway just manually matching up our available gladiators yields this setup which seems extremely likely to simply win:
# Elf Knight to beat Human Warrior 9 with just 1 adv. Needs Boots 3+
# Elf Fencer to beat Human Knight 9 by a lot but gauntlets might matter. Boots +1 are fine. Send Gauntlets +2.
# Human Monk to beat Elf Ninja 9 with 3 adv but gauntlets might matter. Needs Boots 2+. Send Gauntlets +3.
# Human Ranger to beat Dwarf Monk 9 with just 1 adv. Needs Boots 4+
aka
Give Zelaya the +3 Boots of Speed and the +1 Gauntlets of Power and send them to fight House Adelon’s champion.
Give Yalathinel the +1 Boots of Speed and the +2 Gauntlets of Power and send them to fight House Bauchard’s champion.
Give Xerxes III the +2 Boots of Speed and the +3 Gauntlets of Power and send him to fight House Cadagal’s champion.
Give Willow the +4 Boots of Speed and send her to fight House Deepwrack’s champion.
Do not send Uzben or Varina to fight at all.
The problem is that the Elf Ninja might want their +4 Boots. Or might want us to definitely not use them. Or something. As-is, we win; if the Elf Ninja is gonna be irate afterwards maybe winning isn’t enough, but I dunno how to reliably win without using the +4 Boots. We can certainly try to schedule Willow’s fight first, then after the fight against House Cadagal we can gift the +4 Boots back. I think the only better alternative is if it turns out the Elf Ninja is actually willing to throw the match for the +4 Boots back and be friendly with us afterwards, in which case probably there are better ways to set this up.