Here's a small group method for making decisions based on  Jobst's "Reverse 
Lull."

Randomly decide an ordering of the members of the group.

Vote approval style on each of the members in the given order.

If no member receives more than fifty percent approval, then the last member in 
the order makes the 
decision.

Otherwise, the first member to receive more than fifty percent approval makes 
the decision.

If I am not mistaken, this method is clone independent; either cloning the 
winning alternative nor cloning 
any losing alternative should make a difference in the choice. 

Of course the random order can make a difference, but the randomness doesn't 
detract from the fairness.

.
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