The number of players entered in a tournament is affected by the tournament rules that set the size of the final cut. The size of the purse has little to do with attracting the best players. In fact the tournament with the second largest purse had a net spread for the total of the final 2 rounds as  large or larger than 16 other tournaments with smaller purses in 2002. 

This chart shows the number of players each tournament attracts. The various tournaments control the number of players in the final rounds by setting entrance rules and the final cut number. The chart is sorted by the size of the purse. Yes, I know it is hard to see the hollow column, but it is the best I can do for a secondary axis.

What counts?  "The CUT!"

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