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Wednesday, August 24, 2011
Poll: Equivalent Players
Suppose all players are signed for one year. And, all players are paid only at the end of the season. A pure pay-for-performance setup. The league handles all payments.
There are seven teams (Team A through Team G) that have as players the following 5 players (who have played 160, 140, 120, 100, 80 games).
Games A.... B.... C.... D.... E.... F.... G....
160 120 120 120 120 120 120 120
140 105 107 109 110 113 116 120
120 090 094 098 100 106 112 120
100 075 081 086 090 099 108 120
080 060 068 075 080 092 104 120
The numbers represent the runs created by each player. So, Team A has the 100 game player creating 75 runs, but Team G has their 100 game player creating 120 runs.
The average player generates 0.5 runs per game.
The salary of the above 160 game (120 Runs Created) players has already been set at 20MM$.
For which Team would you have the league pay exactly 20MM$ for each of the five players? That is, for which Team do you find that the five players listed are equivalent to each other, in terms of their past performance?
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