[Phanuthier]

Thinking more about this, what would I do?

In real life: there is usually one main decision maker, and a following chain of command. The decision maker will unilaterally make his decision of who goes 1st, then while that person is being rescued, I would probably designate people I unilaterally consider to be in pool "priority" and pool "next round" ... using this divide and conquor method, I've narrowed down the next choice (or if I'm completely 50/50 split, pick the choice with higher social leverage)... keep doing this each round.

In a group of 4 decision makers: after a quick scan, seeing the social exercise of this and knowing its decision making, and knowing I have the flex time of 20 min and nothing will be done in 20 min, I would divide the list in 2 (each side gets 3 members), I would try and socially divide up the teams based on gender/age (if possible), then between 2 people, you make your top choice and bottom choice. Each side gets 5 min. Then when the 2 sides re-convine and do their draft, you will see both members of each sides party "dig their heels in" ... you will probably see an interesting behavior in which one side may get their choice in "1st pick overall? in return for the other side getting "3rd and 5th" vs "4th and 6th" ... basically now you have 2 rounds of 2 decision makers per party, rather then 1 round of 4 decision makers (aka. anarchy)