Quick Learner
Posted: Tue Nov 01, 2011 6:50 pm
OK, I've been thinking about Quick Learner quite a bit. I'll admit my math skills are average at best, so I'm sure this could all be expressed more elegantly than I've done below. It's even quite possible that I'm missing something key, and my calculations are all wrong. If so, hopefully this will spur someone else to crank the numbers and shed the true light on Quick Learner.
As I pointed out in an earlier post, Quick Learner is only of use if it can be shown that using that skill will eventually pay for the cost of taking it. The key is to know how long it takes to pay for the skill points spent on Quick Learner. The cost of a level of Quick Learner is 1 skill point, or four experience levels. Thus, each level of Quick Learner requires an additional 4 levels of experience to earn that extra skill point to cover its cost.
Beginning with Quick Learner level 1, I reasoned that X experience equals L levels. Quick Learner Level 1 gives 5% extra experience per kill, and thus a player with Quick Learner level 1 earn 1.05 experience for the same number of kills, and thus 1.05 Levels. At that rate, a player with Quick Learner Level 1 would earn an extra level for every 20 levels gained. It would thus take 80 levels of experience to earn the 4 extra experience levels for 1 extra skill point to cover the initial cost.
(1.05 x 80 = 84).
Assuming a player took Quick Learner at Experience Level 4, that player would break even at level 88:
[4 + (1.05x80)] = 88.
A player with Quick Learner 1 would be at level 88 for the same amount of effort as a player without Quick Learner would get to level 84.
At Quick Learner Level 2 you are earning 1.10 Levels for X experience. However, 2 skill points have been spent and so 8 additional levels have to be earned to recoup the initial cost. If a player picks Quick Learner level 1 and 2 as their first two skills, that player would break even at:
[4 + (1.05x4) + (1.10x79.8)] = 96
It would thus take 87.8 Levels worth of base experience to earn the additional 2 skill points it cost to take Quick Learner 1 and 2. This is slightly (.2 base levels of experience) faster than having Quick Learner level 1 alone.
Additional levels of Quick Learner would each require a progressively larger amount to pay off the initial cost. Quick Learner Level 3 would require 12 additional experience levels earned to cover cost, and thus would break even at:
[4 + (1.05x4) + (1.10x4) + (1.15x79.5)] = 104
Once the base cost is payed off, however, a player would begin to out pace a player without Quick Learner. At Quick Learner level 1, additional skill points would be earned for every 80 levels of base experience. This gets halved to one additional skill point for every 40 levels of base experience at Quick Learner level 2. Quick Learner level 3 would reduce it to every 26.7 levels. Quick Learner level 4 every 20 levels and Quick Learner level 5 every 16 levels.
Well, there you have it. Quick Learner WILL pay off, eventually, but it takes a looong time to do so. One great unknown here is how far can/will a player typically advance in the game. Looking at signature stats, it appears very few players have come close to level 88 so far. The high player levels we're seeing are not so much a necessity as the result of grinding between releases. Once the game is complete it may be that a typical player only has to reach level 60 or 80 or 100 to actually finish the game.
I invite the forum to check my analysis and correct it where wrong. Hopefully this will also spur someone to explain it in a much simpler fashion than I have done.
Cheers.
As I pointed out in an earlier post, Quick Learner is only of use if it can be shown that using that skill will eventually pay for the cost of taking it. The key is to know how long it takes to pay for the skill points spent on Quick Learner. The cost of a level of Quick Learner is 1 skill point, or four experience levels. Thus, each level of Quick Learner requires an additional 4 levels of experience to earn that extra skill point to cover its cost.
Beginning with Quick Learner level 1, I reasoned that X experience equals L levels. Quick Learner Level 1 gives 5% extra experience per kill, and thus a player with Quick Learner level 1 earn 1.05 experience for the same number of kills, and thus 1.05 Levels. At that rate, a player with Quick Learner Level 1 would earn an extra level for every 20 levels gained. It would thus take 80 levels of experience to earn the 4 extra experience levels for 1 extra skill point to cover the initial cost.
(1.05 x 80 = 84).
Assuming a player took Quick Learner at Experience Level 4, that player would break even at level 88:
[4 + (1.05x80)] = 88.
A player with Quick Learner 1 would be at level 88 for the same amount of effort as a player without Quick Learner would get to level 84.
At Quick Learner Level 2 you are earning 1.10 Levels for X experience. However, 2 skill points have been spent and so 8 additional levels have to be earned to recoup the initial cost. If a player picks Quick Learner level 1 and 2 as their first two skills, that player would break even at:
[4 + (1.05x4) + (1.10x79.8)] = 96
It would thus take 87.8 Levels worth of base experience to earn the additional 2 skill points it cost to take Quick Learner 1 and 2. This is slightly (.2 base levels of experience) faster than having Quick Learner level 1 alone.
Additional levels of Quick Learner would each require a progressively larger amount to pay off the initial cost. Quick Learner Level 3 would require 12 additional experience levels earned to cover cost, and thus would break even at:
[4 + (1.05x4) + (1.10x4) + (1.15x79.5)] = 104
Once the base cost is payed off, however, a player would begin to out pace a player without Quick Learner. At Quick Learner level 1, additional skill points would be earned for every 80 levels of base experience. This gets halved to one additional skill point for every 40 levels of base experience at Quick Learner level 2. Quick Learner level 3 would reduce it to every 26.7 levels. Quick Learner level 4 every 20 levels and Quick Learner level 5 every 16 levels.
Well, there you have it. Quick Learner WILL pay off, eventually, but it takes a looong time to do so. One great unknown here is how far can/will a player typically advance in the game. Looking at signature stats, it appears very few players have come close to level 88 so far. The high player levels we're seeing are not so much a necessity as the result of grinding between releases. Once the game is complete it may be that a typical player only has to reach level 60 or 80 or 100 to actually finish the game.
I invite the forum to check my analysis and correct it where wrong. Hopefully this will also spur someone to explain it in a much simpler fashion than I have done.
Cheers.