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Why Masterpoints Deserve Care

Principles of Masterpoint Administration

Teams Versus Pairs

Changing the massive discrepancy between team and pair events

Building a Better Formula (you are here)

Criteria for a good formula, problems with the current formulas, and a better formula.

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There is a very long essay explaining the criteria a formula should satisfy and slowly developing such a formula. This is a quick explanation of exactly what that formula should be. I will try to be both mathematical and nonmathematical.

The core of my formula is n/r, the number of contestants divided by a contestant's rank. For various reasons, a fraction need to subtracted from r. The logical choice is 1/2, but you can play with other fractions. So we have n/(r-.5).

This needs to be run through a nonlinear function. I use the log formula. So we now have log(n/(r-.5)).

This is multiplied by some fraction, to control how large the awards are. We have k * log(n/(r-.5)). The value of k is decided last, to make the awards conform to the size of previous awards.

There is one other choice to make. (r-.5) can be multiplied by a number. This influences how quickly the awards drop off after the first-place award. (r - .5) looks fine to me for club games, where 40% of the participants win awards. For tournaments, roughly 10% of the contestants win awards, and the actual awards look better if (r - .5) is multiplied by 2.

I propose using

where j is 1 for club games and 2 for tournaments.