Dear Warren, I wrote: > Recall that in D2MAC you specify a favourite and as many "also approved" > options as you want. Then two ballots are drawn and the winner is the > most approved option amoung those that are approved on both ballots > (if such an option exists), or else the favourite option of the first > ballot. > > If voters are sincere, the result will be this: > 55%: favourite A, also approved C > 45%: favourite B, also approved C > Winner: C
And you answered: > --WDS correction: actually, it appears to me that the winner is > A with probability 30.25% > B with probability 20.25% > C with probability 49.50% > with social average utility = 7.03 That's definitely wrong: No matter what two ballots are drawn, both approve of C and C is the most approved option. Hence C is elected with certainty. Then I wrote: > The only way the A-voters could have to strategically improve the result > is to switch to something like this: > 55-x%: favourite A, none also approved > x%: favourite A, also approved C And you replied: > --WDS correction of Jobst wrong probabilities: in that case, winner is > A with probability 55 - 0.45*x % > B with probability 45 - 0.45*x % > C with probability 0.9*x % Are you sure you understand D2MAC correctly? How do you get these numbers? Yours, Jobst _______________________________________________________________________ Viren-Scan für Ihren PC! Jetzt für jeden. Sofort, online und kostenlos. Gleich testen! http://www.pc-sicherheit.web.de/freescan/?mc=022222 ---- election-methods mailing list - see http://electorama.com/em for list info
