> fsimm...@pcc.edu wrote: > > The Rivest lottery is non-monotone, but here is a monotone, > clone > > independent lottery that always selects from the uncovered set: > > > > 1. Let C1 be a candidate chosen by random ballot. If C1 is > uncovered, > > then C1 wins. > > > > 2. Else use random ballot to find a candidte C2 that covers > C1. If C2 > > is uncovered, then C2 wins. > > > > 3. Else use random ballot to find a candidte C3 that covers > C2. If C3 > > is uncovered, then C3 wins. > > > > 4. Else use random ballot to find a candidte C4 that covers > C3. If C4 > > is uncovered, then C4 wins. > > > > etc. > > > > Note that the clone independence has the nice character of the > > "Condorcet Lottery" and the Rivest method: the conditional > probability > > that a member C of the clone set S is chosen given that the > winner is in > > the clone set is equal to the probability that C would be > chosen from S > > if the method were applied solely to S. > > I suppose this method can be used to "enhance" any base method > so it > elects from the uncovered set. Just let C1 be the winner of the > base method.
This enhancement will preserve individually each of the following possible compliances of the base method: clone independence, monotonicity, Independence from Pareto Dominated Alternatives, and Independence from non-Smith alternatives. So Random Ballot Smith would be a great base method for somebody that likes all of these compliances DMC would be a great base method for the same reason.. ---- Election-Methods mailing list - see http://electorama.com/em for list info