Home Games Point Rankings Formula

Points in Home Games tournaments are earned based on order of finish and the number of players in the tournament. The exact formula is based upon these factors:

n = number of players in tournament
k = place of finish (k = 1 for 1st place, k = 2 for 2nd place, etc.)
p = integer (n * 0.34)

'p' determines who receives points. 'p' is the number of places that finish in the top third of the tournament. If there are 6 entrants, then n=6, therefore p=n*0.34, making p=2 (integer of 2.04).

If n = 4, 2 points are awarded for 1st
If n = 5, 3 points are awarded for 1st

For n > 5, points awarded are:

n * (sqrt(n)/sqrt(k)) / [sum (sqrt(n)/sqrt(k)) for k = 1 to k = p]

Each tournament with 6 or more players pays out the total number of points equal to the number of entrants (n). The numbers generated by the above equation tend not to equal 'n', in these cases the points are normalised accordingly, by keeping the same ratio but applying it to n, rather than > n.

So if there are 6 entrants n=6, p=2. As p=2.04, only the top 2 finishers will receive points, meaning the equation will work like this:

For 1st, n=6, k=1, p=2.04:

6 * (sqrt(6)/sqrt(1)) / [(sqrt(6)/sqrt(1)) + (sqrt(6)/sqrt(2)) + (sqrt(6)/sqrt(6*0.34))]
6 * (2.449/1) / [(2.449/1) + (2.449/1.414) + (2.449/2.04)]
6 * 2.449 / (2.449 + 1.732 + 1.71)
= 2.49

For 2nd, n=6, k=2, p=2.04:

6 * (sqrt(6)/sqrt(2)) / [(sqrt(6)/sqrt(1)) + (sqrt(6)/sqrt(2))]
6 * (2.449/1.414) / [(2.449/1) + (2.449/1.414)]
6 * 1.732 / (2.449 + 1.732 + 1.71)
= 1.76

These results are then normalised so that 6 points are awarded in total (as each tournament awards 'n' points):

For 1st place:

6* (2.49 / (2.49 + 1.76)) = 3.51points

For 2nd place:

6* (1.76 / (2.49 + 1.76)) = 2.49 points