Quote:
Originally Posted by RonCo
Stats are not "distributed" among hitters. Stats are created by the pairing of pitchers and hitters, with league average rates defined by the league totals.
It is true that, assuming the pitching they face is equivalent, and the ballpark effects are equal, Power Hitters rated 120 will hit more home runs than power hitters rated 100, but that's because a 120 Power Hitter is better than a 100 Power Hitter.
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Most certainly you are right that stats are created based on pairing pitchers and hitters. Yet, given your second reply, you aren't willing to understand what I am talking about. Let me be more exemplary for you even though I already found the answer from data - if a cap is introduced into this equation and hitters face the same pitchers then the question is how it effects the output? E.g.:
//Power and HRs are distributed based on exponential function//
- a hitter nr.1 with power rating 100 will hit 125 homers
- a hitter nr.2 with power rating 80 will hit 64 homers
- a hitter nr.3 with power rating 60 will hit 27 homers
-> in one season they produce all together 216HRs.
If the cap is introduced to 100HRs in total then there are three (to simplify) possible outcomes:
- winner takes it all and as such the best hitter hits 100HRs others 0
- all hitters share the decrease in linear proportion: nr.1 hits 57; nr.2 hits 30; nr.3 hits 13
- decrease of the hits is based on the function: nr.1 hits 65; nr.2 hits 27; nr. 3 hits 8