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The incentive is mostly 'the less attacks there are, the less attacks are coming my team's way'.
For you, that calculus makes sense - there's only a 1/3 chance you or moot will be attacked for each creature. For us, that's a 2/3 chance. Which makes it some tragedy of the commons shit, that you're mostly just trying to kind of sit there and tank while we're doing a large part of the murdering, but mathematically it still strikes me as the best solution.
Probably a better implementation would have been to have each team in their own separate arena, fighting separate monsters, and thus providing each team with an incentive to be killy, instead of whichever team loses fighters first being mathematically able to simply play defensively - and rather than separating it into waves of enemies, instead enemies just keep rolling in at predetermined points (every ~5 rounds seems like a good guess), meaning you can't just kill everything but a mino and then tank it out for the rest of the game, you have to be continually killing or else you're going to get overwhelmed.

Offensive
Attack
Jaguar

Stance: Offensive
Action: Attack
Target: Moves like Jaguar
Potion: N/A

Yeah, those are good points about this game. We'll have to try those ideas when we play another beasts game. Make it more competitive. 

Reminder to: @Hydra @taulover @Wintermoot

Offensive, Attack, Jaguar, Health

Round 14

The Mountain Jaguar sprinted at Martin Breakshield then pounced. The beast landed several scratches on the Commander, dealing 20 damage, then ran away.

Rosashia Byrnweave raised her shield in a block.

The Wintrean Wolf went to attack Taurus, but it got more fearful as it neared him. It ended up landing the tiniest scratch, dealing just 1 damage.

Martin Breakshield, Elbbsas the Reka, and Dr. Taurus Valeria together coordinated an attack on the Mountain Jaguar. They circled the beast, and then one at a time they swung their swords at it as it turned its back on each of them, dealing it 5, 8, and 13 damage, respectively.

As neither Hyrda nor Wintermoot acted this round, the Arena Hawk flew down and scratched at them with its talons, dealing 5 and 10 damage, respectively.

Current Stats

Cooldowns: The number listed is the round in which you may use the ability again.
Potions: H=Health, S=Strength, D=Defense, A=Agility, L=Luck

The Combat Order for Round 15 is:
24 - Mountain Jaguar
12,18 - Wintrean Wolf
12,17 - @Wintermoot
9 - @Aethelia
5 - @taulover
3 - @Elbbsas
2,19 - @Hydra
2,16 - @Doc

The round will end around 1pm ET on Friday, November 24. Let me know if you guys will need an extension for Thanksgiving.

Defensive
Charm
Wintrean Wolf

Oof. That was a hell of a hit.

Offensive
Call to Arms
Tau, Hydra, Elb
Drink Agility potion

Yikes, some time has passed v_v

Offense
Precise Shot
Wintrean Wolf

Defensive, Heal Other, Martin Breakshield, N/A

Stance: Offensive
Action: Leech Life
Target: Jaguar
Potion: N/A

Shame it's not October anymore. I could've done a vampire gag.

Reminder to @Hydra

Round 15

The Mountain Jaguar attacked Taurus, scratching him for 5 damage.

The Wintrean Wolf attacked Elbbsas, biting down on her ankle several times for 18 damage.

Wintermoot pulled out his bow and released a Precise Shot on the Wolf. The arrow hit one of its legs, crippling it and dealing 10 damage.

Rosashia Byrnweave then cast a Charm spell on the Wolf to prevent it from attacking back. It wandered off and began to lick its wounds.

Dr. Taurus Valeria prepared another Healing spell for Martin Breakshield. He placed his glowing hands on him, healing him for 4 health.

Elbbsas the Reka raised both of her hands toward the Mountain Jaguar, casting a Leech Life spell on it. Slowly, the beast began to cry out in pain as a dull reddish-purple light pulled from out of its body, dealing it 7 damage, then floated over into the Mystic, healing her for 3 health.

Martin drank his Agility Potion then yelled a Call to Arms to his teammates, temporarily boosting their strength and agility.

Again, the Hawk flew into the Arena, lightly scratching Hyrda because of his inactivity for 1 damage.

Current Stats

Cooldowns: The number listed is the round in which you may use the ability again.
Potions: H=Health, S=Strength, D=Defense, A=Agility, L=Luck

The Combat Order for Round 16 is:
16(11+5) - @taulover
15 - Mountain Jaguar
13(3+10) - @Doc
11(6+5) - @Elbbsas
10,11 - @Wintermoot
10(5+5),10 - @Hydra
6 - @Aethelia
0(10-10) - Wintrean Wolf

The round will end around 1pm ET on Sunday, November 26.

Anybody have any ideas how to speed this game up? Shall I just throw a bunch of beasts at you this next wave? Or should I open up a secret second door that releases two separate waves that the different teams have to fight as you suggested (though I'd understand that it might be too late for that, and we can try that in a different game)? Or something else completely different? Or are you all alright with us just continuing to chug along?

We all become cowboys. Bipedal beasts give piggybacks. =P

I'm a fan of splitting the teams up when the wave ends. Better to at least trial it in this one before attempting to implement it in future ones.

Although actually I've got a couple half-baked ideas for PVE arena games, one of which could honestly be a PVPVE one if I can work out how to properly implement it, if that sparks any interest.

I'm a fan of splitting the teams up when the wave ends. Better to at least trial it in this one before attempting to implement it in future ones.

Seconding this.