Calculation of melee monsters power (Mana, HP, Armor, Speed power)

in Splinterlands2 years ago (edited)

PowerCurve

I made a previous post about Power Creep of splinterlands.

Now i want to further quantify what are "powerfull" card and what are not.

To do this i made list of some melee attack minions without special abilities, created a table of Cost, HP, Armor, Speed and Melee on lvl 1 only:

NameManaHealthArmorAttackSpeedCorrected "Healt"
Carrion shade120113
Skeleraol warrior221125,5
Cruel sethropod343118
Hill giant360117
Kobold bruiser330225,5
Battle oreca350137
Giant scoprion441127,5
Tortisian fighter431217
Biceratops441218
Xenith monk460138
Animated corpse460218
Enchanted defender414115,5
Rexxie7604311
Eleven defender8832213,5
Undead Rexx9905214,5

Notice when a monster has 1 armor (Tortisian fighter) the health is not 1 lower then a compairable monster, but more (Animated corpse). I think this is fair since the armor will soak a full hit. When it is more then one armor this is way less important especially against magic.

If you look at Battle oreca vs Hill giant, speed around about 1 health worth. 20% dodge chance seems fair for 1 health for low mana cost monsters and on lvl 1.

Now when the speed is 1 the attack seems to be 2, this means that 1 additional attack is worth 2 speed and around 1 health. I think this is a undervalue for attack damage, if you have a better idea please add it in the comments.

  • First armor is worth 2 health, any additional armor is worth 0.5 health.
  • 2 Speed is worth around 1 healt.
  • Attack seems only worth 1 health.

When you calculate these "corrected health" values, you get this graph!
This is not a very good calculation of card strength but it's a start.

Now the results:
Cruel sethropod seems above the powercurve (dotted line) and is a great monstes for only 3 mana.
Enchanted defender is far below the powercurve and i do think this is fair, it not worth the 4 mana.
It think this approach give a decent rought estimate of the power of a monster.

This is only a start for the powercurve calculation, if you have ideas, please let me know.

Update:
Updated the rules to calculate monster power to:

  • 1 health is 1 monster power.
  • 1 armor is 2 monster power any additional armor is worth 0.5 monster power.
  • 1 Speed is 0.5 monster power.
  • 1 attack is 0 monster power,
  • 2 attack is 2 monster power,
  • 3 attack is 3.5 monster power any additional attack is worth 0.5 monster power.
  • Ranged units are worth 2 additional monster power.
  • Rare monsters are worth 0.5 and Epic monsters 1 more monster power.
  • Neutral monsters adds 1 monster power for flexability.

Correlation increased to R2 = 0.93!
Enchanted defender is still the worst.

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Really like this style of analysis please continue to build upon this. I think you could make something very valuable !gif maths

Love the math. I look forward to more. Informative.

But... Enchanted defender has Thorns, while Cruel Sethropod has none of it.

I think you are spot on.
Defender scales better with lvls then Cruel Sthropod does. That is not represented here. (Also the CP is beter)

Mightbe i could do roughly the same calculation of lvl 10 monsters and try to quantify the value of thorns. But i think i will try to check the difference between melee, ranged and magic first.

Thanks for the feedback :)