# Arbitration Allocation Distributions

#1

I’m not sure if this is helpful to anyone or not, but it’s been helpful to me as I make allocations across my leagues. Given the requirements that exist when allocating arbitration dollars (namely that each of the 11 other teams in your league must be assigned at least \$1 but no more than \$3, and you must spend exactly \$25 to have your allocations count), there are a finite number of ways you can distribute your arbitration money (just five, by my count):

\$3 x7, \$1 x4
\$3 x6, \$2 x2, \$1 x3
\$3 x5, \$2 x4, \$1 x2
\$3 x4, \$2 x6, \$1 x1
\$3 x3, \$2 x8

I take a couple of different approaches using this information, top-down or bottom-up. With a top-down approach I identify the teams I think deserve \$3 allocations, and then I know which distribution of allocations I can select. For example, if I decide there are only 3 other teams in my league that I want to hit with full allocations, I know I will have to hit the other 8 teams with \$2.

The bottom-up approach is obviously the opposite, I identify the teams I think I only should assign \$1 to, and use that to select my distribution. If I feel like only one team should receive \$1, I know I now need to pick four teams to receive \$3 and the the remaining six get \$2.

Obviously you can shift up or down within each of these five distributions if you decide to change how many teams should be hit with \$3/\$1, but I’ve found this is a good way to visualize the “shape” of the arbitration hits I want to apply depending on my specific league.