Our team has multiple members that don't bowl every week. When we get our prize fund at the end, we divide it up by how many games the bowler actually paid for bowling. Here is an example:
Our league is 36 weeks, and each week is 3 games. 36 X 3 = 108 games per bowler. 5 bowlers each week is 108 X 5 = 540 total games bowled.
Then, we divide the prize fund by 540 to find out what each bowled game was worth, then multiply that by how many games each individual bowler bowled.
If one guy bowled every game, he gets a full 1/5 the prize money (108/540). If one guy only bowled/paid 42 games, he gets only a part (42/540).
If someone bowled, but did not pay, the shortage comes DIRECTLY out of HIS winnings only, so as not to effect those who have fully paid (unless the shortage is too great, but we control that by kicking people like that off the team before it gets that way).
Seems to me that you should be satisfied receiving the prize money for the games you actually bowled/paid for. Bowling only a fraction of a league and expecting to get all the prize money just doesn't sound right to me.
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ILLEGITIMI, NON-CARBORUNDUM!