I am sorry but those numbers are very wrong. look at your example for 3.000 merits for example... Your way, if a person earned 3.000 merits a week, he would eventually exceed double the weekly amount (which is a matematical impossibility) Correctly it works as such:
1. 3000 = 3000
2. 3000 + 1500 = 4500
3. 3000 + 1500 + 750 = 5250
4. 3000 + 1500 + 750 + 375 = 5625
At this point you come to week 5 so the last number from previous week disappears. So for any week above the fourth it will always be:
4.+ 3000 + 1500 + 750 + 375 = 5625
Or, short version (15/8)x<WEEKLY AMOUNT>
And if you read what i wrote more carefully you would find out that what CMDR Beltane wrote is incorrect and doesnt even conform to the redit source he himself listed.
Don't get me wrong, I totally get where you are coming from. I said pretty much the exact same thing last week because I couldn't fathom that FD would make the decay based on your total points earned, instead of what you earned that week.
And that is why I stated
"and my understanding of how the PP decay is accepted in interpretation" .
FD, and a huge sum of people involved with these caclulations, point out that the decay is based on what your total points for that week were, not how many points you earned that week; there is a very distinct difference.
Your example of my example:
1. 3000 = 3000
2. 3000 + 1500 = 4500
3. 3000 + 1500 + 750 = 5250
4. 3000 + 1500 + 750 + 375 = 5625
Should read:
1. 3000 = 3000
2. 3000 + (3000/2) = 4500 ( Not because the first week's merit decayed i half, but because it WILL decay in half at the end of week 2, and if you want to maintain a rank, you need to make sure you take into account what the decay is going to be when it transitions over...not what you currently have )
3. 3000 + (4500/2) + (1500/2) = 6000 ( Again, following the plan that your total value of that week is going to decay, and continue to decay every week ).
4. 3000 + (6000/2) + (2250/2) + (750/2) = 7500 ( See? Continuing the trend of adding your total from last rollover being cut in half...not the 3000 you earned that week )
But then, we get to the point of another interpretation, when they talk about the "4th week". This was never explained properly, but for the sake of my post I went with the accepted "1250 to maintain" formula. That means that decay happens 3 times and then falls off.
(10,000/2) + (5000/2) + (2500/2) + ______ ( 1250 ) = 10,000 for the week. Or ' 5000 + 2500 + 1250 + (Earn 1250 that week to maintain 10k ) = 10,000.
Something you are confused with, is the initial week of earning, and as a result, the "earned that week" amount; which never gets touched or decayed itself. It is only the total you had that does. A very specific distinction. Since you had 0 merits the first week you earn, that 0 merits never gets cut in half...or decays. It's not until the next week you see decay...because at that moment you had merits to decay.
With taking that into perspective...your "Earned that week" is not decaying...but your total from the previous week. I understand the confusion on this, because rankings and such are based on what your total value was that week...even though they don't reward you until the following week...which is mirrored by the decay system as well.
You have to think of things as "not taking into affect until a week later".
Hopefully I explained that better.
Edit: But, I mean, IF we went with your model...then my statement is still true..and in fact it's actually more grave with your model than mine.