How about antiplurality? 2008/5/4 <[EMAIL PROTECTED]>:
> I was thinking of a possible modification to your system that may take the > chances of C to 100%. > > 1) Each voter submits a ballot rating each candidate. > > 2) The initial probability of each candidate is set at the proportion of > highest ratings they get (equal top ratings split equally) > > 3) For each candidate: > > Add a small increase in their probability > > Renormalise probabilities (so bring total back to 1) > > Determine number of voters who think this probability set is an > improvement > > 4) If the change that has the greatest support has the support of more > than (high)% of the voters, update the probabilities and goto 3 > > 5) Randomly draw a candidate based on the final probabilities > > The threshold for step 4 might be set at 90%. > > > So under your system, the voters might submit: > > 51: A(100) B(52) C(0) > 49: A(0) B(52) C(0) > > The initial probabilities are > > A: 51% > B: 0% > C: 49% > > Adding 1% to A would have the support of the A voters > Adding 1% to B would have the support of the B voters > > Adding 1% to C would give > > A: 50.495% > B: 1% > C: 49.505% > > 100% voters consider that an improvement. > > This should be true the whole way until C gets to 100% > A: 0.51% > B: 0.49% > C: 99% > > A voter's utility => 0.51*100 + 99*52 = 5199 > B voter's utility => 0.49*100 + 99*52 = 5197 > > After > > A: 0% > B: 0% > C: 100% > > A voter's utility => 100*52 = 5200 > B voter's utility => 100*52 = 5200 > > 100% of voters think it is an improvement. > > If A voters voted > > A(100) B(0) C(0) > > the the results would be > > Initial > > A: 51% > B: 49% > C: 0% > > Reducing the probability of A winning would represent a decrease in the > utility from the perspective of the A voters (according to their votes). > > This means that no change would be approved by 90%+ of the voters and thus > the initial probabilities would be the final ones. > > This is not as good from the A supporters, so they would be advised to > vote honestly. > > The 90% rule prevents hold-outs and increases the chances that a single > winner occurs with 100% probability. > > I am not sure if there a way for the A supporters to shift the result to a > non-certain winner that they like better. > > > > Raphfrk > -------------------- > Interesting site > "what if anyone could modify the laws" > > www.wikocracy.com > > > ------------------------------ > AOL's new homepage has launched. Take a > tour<http://info.aol.co.uk/homepage/>now. > > ---- > Election-Methods mailing list - see http://electorama.com/em for list info > > -- ________________________________ Diego Renato dos Santos Mestrando em Ciência da Computação
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