NOW you’re getting somewhere – I think.
In practice, I’m guessing you would perform the following steps:
A. Decide how much extra prize money to give away. (This amount could be equal to the extra entry fee income, or a pre-set percentage of it, such as 70%.)
B. See what the highest score is among non-prize-winners, and count the number of non-prize-winners in this score group.
C. Divide A by B to determine what each player’s wild-card prize is.
D. Reduce C, as necessary, in order to fit your criteria 3 and 4.
Should work, but I have the following questions:
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How effective will it be in making your tournament more attractive in advance? Players may have a hard time figuring out ahead of time what’s in it for them. On the other hand, you’re spreading good will – a player who wins some of this extra loot will feel good and come back next time.
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What if there is a 7-way tie for class D? This could reduce the wild-card prize to a trivial amount. (Of course, occasionally the organizer deserves a little extra money too.)
Bill Smythe