• Mathematically generated draft orders.

    A Fair Way to Divide Anything

    In many drafts the people making picks all have the same number of picks which makes creating the draft order simple. However, what happens if the number of picks varies from picker to picker? How can you divid what you are sharing when the number of picks are not equal?

    The Torney Draft Order Algorithm calculates optimized draft orders. These draft orders enable groups to fairly divide what they are sharing.

    • Single Round Draft
      Instead of trying to force draft orders into multiple rounds, the algorithm creates drafts in a single round. Unburdened by the structure of "rounds", the algorithm can fairly distribute picks.
    • Pick averages approach mathematical ideal
      The draft orders are fair because the algorithm distributes each pick by assessing the pick's closeness to it's ideal value and adjusting the order accordingly. The resulting draft order has carefully calculated the fairness of every pick individually and as sets for each partner.
    • More pickes, more chance at higher picks
      The more picks a person has, the higher the chance at the top picks. It is fair to give pickers with a larger percentage of picks to have a better chance at higher picks and this is included in the algorithm.

Algorithm in action...

Let's consider a group of 6 people sharing season tickets to with an 83 game season. All of the partners are taking a different number of games.

  • 12 games   Dave S
  • 9 games   Kathy T
  • 29 games   Joe D
  • 15 games   Mark T
  • 11 games   Bill J
  • 5 games   Steve S

And here is the draft order generated by the Torney Draft Order Algorithm given these 6 partners and the number of games they are each taking...

  •   1 Joe D
  •   2 Mark T
  •   3 Dave S
  •   4 Bill J
  •   5 Kathy T
  •   6 Joe D
  •   7 Joe D
  •   8 Steve S
  •   9 Mark T
  •   10 Joe D
  •   11 Dave S
  •   12 Bill J
  •   13 Joe D
  •   14 Kathy T
  •   15 Mark T
  •   16 Joe D
  •   17 Dave S
  •   18 Bill J
  •   19 Joe D
  •   20 Mark T
  •   21 Joe D
  •   22 Kathy T
  •   23 Mark T
  •   24 Joe D
  •   25 Dave S
  •   26 Steve S
  •   27 Bill J
  •   28 Joe D
  •   29 Joe D
  •   30 Dave S
  •   31 Mark T
  •   32 Kathy T
  •   33 Joe D
  •   34 Bill J
  •   35 Mark T
  •   36 Joe D
  •   37 Joe D
  •   38 Dave S
  •   39 Steve S
  •   40 Bill J
  •   41 Joe D
  •   42 Kathy T
  •   43 Mark T
  •   44 Joe D
  •   45 Dave S
  •   46 Mark T
  •   47 Joe D
  •   48 Bill J
  •   49 Joe D
  •   50 Kathy T
  •   51 Dave S
  •   52 Mark T
  •   53 Joe D
  •   54 Joe D
  •   55 Bill J
  •   56 Mark T
  •   57 Dave S
  •   58 Joe D
  •   59 Steve S
  •   60 Kathy T
  •   61 Joe D
  •   62 Mark T
  •   63 Joe D
  •   64 Bill J
  •   65 Dave S
  •   66 Joe D
  •   67 Kathy T
  •   68 Mark T
  •   69 Joe D
  •   70 Dave S
  •   71 Bill J
  •   72 Joe D
  •   73 Steve S
  •   74 Mark T
  •   75 Joe D
  •   76 Joe D
  •   77 Kathy T
  •   78 Bill J
  •   79 Mark T
  •   80 Dave S
  •   81 Joe D

If you review each partner you will see a fair distribution based on how many games they are taking. The partners taking more games have more of the initial picks, but even the partner taking only 5 games, Steve S, has a fair distribution of picks in the order. Since this order was generated mathematically, each partner has fair picks in the draft.

Great, how can I use it?

The Torney Draft Order Algorithm is available for free when you use OnlineDraft to host your draft. Sign up for an account and set up your group and draft. When you set up your Draft Order, you will be able to use the Torney Draft Order Algorithm to set the order of your picks.

Try the Torney Draft Order Algorithm

David Torney

David Torney is an applied mathematician, professional wildlife photographer and outdoorsman, based in New Mexico. He administers a partnership with 15 partners drafting between 2 and 10 games of 83 games (season tickets for major-league baseball, including two exhibition games).

In early 2016, the Draft Wizard produced an objectionable draft order, and there seemed no way around it. In previous years, the Wizard’s orders had been magic, so this fail was uncharacteristic. In retrospect, his group had previously given the Wizard softballs, for example, by reducing the number of games to 81 (suited to rounds). The reward for his rashness was having to make their draft order by hand. This motivated development of the alternative algorithm available for your use on SplitSeasonTickets.com. If the Draft Wizard misfires, backup is available.

David's background includes training in discrete mathematics. This specialty concerns topics like sequences, such as 1,2,3, … , and ways to make change. This training was a boon of his participating on the Human Genome Project. So, he was prepared for this challenge. “What you do when you have to can be serendipitous."

For realistic drafts, such as David's, the best draft order is not expected to be computable — not by any computer nor with any criterion of goodness. As with the Wizard, one must be careful what one asks for, and the alternative algorithm produces crowd pleasing draft orders. You may be the judge.

You’ve heard of herding cats? The alternative algorithm makes abstract cats toe their respective line. If there’s a pick “ahead-of-schedule”, this cutting is offset by subsequently picking “behind-schedule” — and vice versa.