Back to the initial set-up. Who should win in this example?
If the A group is going to win in any case then they could agree that
A is a good compromise candidate (and make his probabilities high).
On the other hand A1 is the Condorcet winner, which would make him a
good compromise
Jobst,After thinking about your recent example: 33: A1AA2 B 33:
A2AA1 B 33: B A1,A2,Aand the 66 A-voters try to cooperate to elect
A by unanimously approving of her, then they still get A only with a low
probability of 16/81 (approx. 20%) while A1 and A2 keep a probability of
64/243
Dear Jobst,
I think you are right: Plain random ballot (as fall back) induces full
cooperation at lower values of alpha than does a mixture of plain and approval
random ballot, since the penalty is greater for failing to cooperate in the
former case.
However, given a value of alpha for