You would want the formula to be something like this:
sqrt(((n *bc ) * (bc / tc))) / (r + 1 )
I have been using Dr. Neau's formula for six years now, and essentially, Magic fubu nailed it.
However, let me throw something out there that I encountered when we instituted a bounty chip at our tournaments...
When I used the formula
sqrt(((n *bc ) * (bc / tc))) / (r + 1 ) as originally conceived, I found that when players purchased the optional bounty chip (which could also be purchased during a rebuy), those players were having the cost of the chip added to their buy-in total, and thus were being penalized for buying the chip. This came to light when we had a situation when at the end of one tournament, we actually had a player who didn't purchase a bounty chip get a higher point total in a lower finishing position than a player who had purchased a chip with a higher finishing position. This occurred because of the use of the
"total cost" variable in the formula. Naturally, this was not my intention at all when we put the bounty chip into play, so I changed it slightly to this:
sqrt((n*bc)*(bc/(bc+rc)))/(r+1)Whereby
"total cost" is replaced with
"buy-in cost" plus
"rebuy cost"I don't know if this applies to your situation, but I just thought that I'd share my experience with you.