Proficiency, Deficiency, Math and how they all play together

LucoireLucoire Posts: 1,230 ✭✭✭✭✭
in Wizarding Challenges + Professions #1 latest comment 11 June, 2020, 10:59 am.

Proficiency and Deficiency are mechanics employed by the game to encourage a Rock-Paper-Scissors - style of Profession-Enemy-Pairing. I want to have a look at whether and in which situations it actually works and in which situations it can safely be ignored.


Mechanics

In the game, there are 3 different Professions: Auror (A), Professor (P), Magizoologist (M)

In Fortresses there are 3 different Enemy-Categories: Beasts (B), Curiosities (C), Dark Forces (DF)

There are 2 Stats that are used to influence the Profession-Enemy-Pairing: Proficiency Power (PP) and Deficiency Defence (DD)

Each of those Professions gains additional Power against one of those enemy categories. Also, each of those enemy categories gains additional Power against one of the Professions:

  • M > B > A > DF > P > C > M

Deficiency Defence works in the exact opposite direction to reduce the strength of that "additional Power" gained through Proficiency. Deficiency Defence can theoretically reduce the effective Proficiency Power to zero but it can not grant any additional defence beyond that.


Actual Numbers

The potency of the PP and DD depends on the difficulty of the Enemy and whether it's an elite or not. It does NOT depend on the enemy category:

  • Regular Non-Elite Enemies have 5% Proficiency Power (Elite: 10%)
  • Formidable Non-Elite Enemies have 10% Proficiency Power (Elite: 20%)
  • Imposing Non-Elite Enemies have 15% Proficiency Power (Elite 30%)
  • Dangerous Non-Elite Enemies have 20% Proficiency Power (Elite: 40%)
  • Fierce Non-Elite Enemies have 25% Proficiency Power (Elite: 50%)
  • Regular Enemies have no Deficiency Defence
  • Formidable Enemies have no Deficiency Defence
  • Imposing Non-Elite Enemies have 5% Deficiency Defence (Elite: 10%)
  • Dangerous Non-Elite Enemies have 7% Deficiency Defence (Elite: 15%)
  • Fierce Non-Elite Enemies have 12% Deficiency Defence (Elite: 25%)

Each Player Profession can - through their Professions Lesson-Tree - unlock up to 50% of Deficiency Defence. The potential Proficiency Power depends on the Profession itself and can be empowered through a Profession-Buff - and is generally MUCH HIGHER than the PP gained by Enemies (148%/150%)


Damage analysis:

To analyse the Damage, I'll use 2 different Players and pair them with Foes against which they are Proficient, Deficient and against which they are neither:

Player a (for Adept) has just Started his Profession and only invested acquired a single Lesson. As such, he has no PP and no DD.

Player e (for Expert) has completed his Profession and therefore has acquired all Lessons. As such, he has 150% of PP and 50% of DD.


Proficient vs regular Foe

  • Player A does 100% Damage. The Enemy does 100% Damage
  • Player E does 250% Damage. The Enemy does 100% Damage

Proficient vs fierce elite Foe

  • Player A does 100% Damage. The Enemy does 100% Damage
  • Player E does 225% Damage. The Enemy does 100% Damage

Neutral vs regular Foe

  • Player A does 100% Damage. The Enemy does 100% Damage
  • Player E does 100% Damage. The Enemy does 100% Damage

Neutral vs fierce elite Foe

  • Player A does 100% Damage. The Enemy does 100% Damage
  • Player E does 100% Damage. The Enemy does 100% Damage

Deficient vs regular Foe

  • Player A does 100% Damage. The Enemy does 105% Damage
  • Player E does 100% Damage. The Enemy does 100% Damage

Deficient vs fierce elite Foe

  • Player A does 100% Damage. The Enemy does 150% Damage
  • Player E does 100% Damage. The Enemy does 100% Damage


Explanations and "Learnings"

Due to secondary Player Stats (like PP+DD) being much higher than the secondary Enemy Stats, the "Deficient"-State can be completely negated - IF and only IF the Player has sufficienty advanced his Profession-Lessons

To a Player with full 50% DD, there's no difference between a Foe against which he's Deficient and a Foe against which he's neutral - as he will deal 100% Damage and receive 100% Damage.


The actual Math

Non-critical Damage against a Proficent Foe is computed like this:

  • Damage = ProficiencyMod * (100% - DefenceMod) * Power * PotionMod
  • ProficiencyMod = AttackerProficiencyPower - DefenderDeficiencyDefence
  • DefenceMod = DefenderDefence - AttackerDefenceBreach

ProficiencyMod can NOT be negative. DefenceMod can not be higher than 100 or lower than 0.


Conclusion:

  • To a new Player, it is important to chose his enemy carefully. The Deficiency Mechanic may completely eliminate the Proficiency Power Bonus that the Player has.
  • To an expert Player at the end of his Lessons, the Deficiency Mechanic ceases to function. The Proficiency Mechanic however becomes very powerful and therefore the priority should always be to fight Foes against which the Player is proficient.


Reply

Comments

  • Dewin99Dewin99 Posts: 751 ✭✭✭✭✭
    #210 June, 2020, 02:07 pm.

    Great post @Lucoire 👍🏻

  • Magpie31Magpie31 Posts: 1,230 ✭✭✭✭✭
    #310 June, 2020, 03:14 pm.

    Really interesting stuff, @Lucoire. A bit more analytical than my squishy brain can handle, but definitely interesting. Well done!

  • LucoireLucoire Posts: 1,230 ✭✭✭✭✭
    #410 June, 2020, 05:35 pm.

    @Magpie31 If you'd like to, I could try explaining it specifically for your squishy brain over in Discord 😉

  • OwlxOwlx Posts: 959 ✭✭✭✭✭
    #511 June, 2020, 03:13 am.

    @Lucoire I appreciate your logic and trust your math. For me math is a scary language I dont speak, and rarely understand.

    Thank you for the conclusion.

    Hope more player see this

    Just played a D4 Auror Auror took the beasts and magi was battling all the DE DW.

    We made it but barely.

  • LucoireLucoire Posts: 1,230 ✭✭✭✭✭
    #611 June, 2020, 10:59 am.

    @Owlx

    To clarify: the green arrow should NOT be ignored 😉

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