Well ... if the current season's success is always averaged with the previous prestige, then it would be this for the frist 11 seasons in a new world:
s11
s10
s9
s8
s7
s6
s5
s4
s3
s2
s1
s11/2 + s10/4 + s9/8 + s8/16 + s7/32 + s6/64 + s5/128 + s4/256 + s3/512 + s2/1024 + s1/1024
or that is:
50%, 25%, 12.5%, 6.25%, 3.125%, 1.5625%, 0.78125%, 0.390625%, 0.195313%, 0.097656%
Because there is no previous season for the REAL first season in a world (since you just started it), a teams real first season and second season would be worth the same amount in brand new world ... but after Season 11 in that world, those two seasons would both be worth 1/1024. Since the youngest world now is Phelan at 55, the "Season 1" effect is over after "Season 11" and you can say that last 10 seasons in any world have this impact on prestige:
50%, 25%, 12.5%, 6.25%, 3.125%, 1.5625%, 0.78125%, 0.390625%, 0.195313%, 0.097656%
I do agree that 50% is too much, but is also easy to calculate ... it would just be:
average (season, season-1)
This would also mean that all seasons have an impact, but the impact of the last 10 seasons is 99.902344% and therefore everything older than 10 seasons can be ignored. The last 8 seasons would account for 99.609375% of the score, the last 7 would be 99.21875%. So if you wanted to pick 99% of the score as a threshold, you could say that the last 7 seasons have a noticeable impact on your prestige.
1/1/2013 7:36 AM (edited)