Re: [Election-Methods] D(n)MAC/RB

2008-05-27 Thread fsimmons
Jobst,After thinking about your recent example: >  33: A1>A>A2 >> B  > 33: A2>A>A1 >> B  > 33: B >> A1,A2,A>and 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 probabili

Re: [Election-Methods] D(n)MAC/RB

2008-05-27 Thread fsimmons
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 which

Re: [Election-Methods] D(n)MAC/RB

2008-05-28 Thread Juho
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 candidat

Re: [Election-Methods] D(n)MAC/RB

2008-05-29 Thread fsimmons
Dear Jobst, Here's an example I worked out based on the scenario 33: A1>A>A2>>B 33: A2>A>A1>>B 33: B , with A rated at 80% in both A factions, while the A1 and A2 factions rate A2 and A1, (anti)respectively, at 50% . So both A factions slightly prefer A to a coin flip between A1 and A2.